GENERAL MUNICIPAL MONEY MARKET FUNDS INC
497, 1999-12-06
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General Money Market Funds

General Money Market Fund

General Government Securities
Money Market Fund

General Treasury Prime
Money Market Fund

General Municipal Money Market Fund

General California Municipal
Money Market Fund

General Minnesota Municipal
Money Market Fund

General New York Municipal
Money Market Fund

Investing in high quality, short-term securities for current income, safety of
principal and liquidity

PROSPECTUS December 1, 1999

CLASS B SHARES


[First Albany Corporation logo]

THE GENERAL MONEY MARKET FUNDS ARE MANAGED BY THE DREYFUS CORPORATION.

THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF FIRST ALBANY CORPORATION.


As with all mutual funds, the Securities and Exchange Commission has not
approved or disapproved these securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.


<PAGE>

The Funds

Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4

General Treasury Prime
Money Market Fund                                                         6

General Municipal
Money Market Fund                                                         8

General California Municipal
Money Market Fund                                                        10

General Minnesota Municipal
Money Market Fund                                                        12

General New York Municipal
Money Market Fund                                                        14

Management                                                               16

Financial Highlights                                                     17

Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         20

Distributions and Taxes                                                  22


For More Information
- --------------------------------------------------------------------------------


MORE INFORMATION ON EACH FUND CAN BE FOUND IN THE FUND'S CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.

Introduction

Each fund is a money market mutual fund with a separate investment portfolio.
The operations and results of a fund are unrelated to those of each other fund.
This combined prospectus has been prepared for your convenience so that you can
consider seven investment choices in one document.

As a money market fund, each fund is subject to maturity, quality and
diversification requirements designed to help it maintain a stable share price.

Generally, each fund is required to invest at least 95% of its assets in the
securities of issuers with the highest credit rating or the unrated equivalent
as determined by Dreyfus, with the remainder invested in securities with the
second-highest credit rating.

An investment in a fund is not insured or guaranteed by the Federal Deposit
Insurance Corporation or any other government agency. Although each fund seeks
to preserve the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.



Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*    maintain an average dollar-weighted portfolio maturity of 90 days or less

*    buy individual  securities  that have remaining  maturities of 13 months or
     less

*    invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less

                                                                  The Funds 1

<PAGE 1>


General Money Market Fund
- -----------------------

 Ticker Symbol: GMBXX

GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*    securities issued or guaranteed by the U.S. government or its agencies

*    certificates  of deposit,  time deposits,  bankers'  acceptances  and other
     short-term  securities  issued  by  domestic  or  foreign  banks  or  their
     subsidiaries or branches

*    repurchase agreements

*    asset-backed securities

*    domestic  and  dollar-denominated   foreign  commercial  paper,  and  other
     short-term corporate obligations, including those with floating or variable
     rates of interest

*    dollar-denominated  obligations issued or guaranteed by one or more foreign
     governments or any of their political subdivisions or agencies

Normally, the fund invests at least 25% of its net assets in domestic or
dollar-denominated foreign bank obligations.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    the  risks  generally  associated  with  concentrating  investments  in the
     banking  industry,  such as interest rate risk,  credit risk and regulatory
     developments relating to the banking industry

*    the risks generally associated with dollar-denominated foreign investments,
     such as economic and political developments,  seizure or nationalization of
     deposits,  imposition  of taxes or other  restrictions  on the  payment  of
     principal and interest


2


<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)


                                                        4.68    4.84    4.73
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------




Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                  4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                                                General Money Market Fund    3






<PAGE 3>

General Government Securities Money Market Fund
- ----------------------

Ticker Symbol: GSBXX

GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund invests in securities issued or guaranteed by the
U.S. government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


4


<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)


                                                        4.60    4.69    4.61
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.18%

WORST QUARTER:                   Q4 '98                          +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                  4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                 <C>                                   <C>                                  <C>

$104                                 $325                                 $563                                 $1,248
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                       General Government Securities Money Market Fund   5



<PAGE 5>

General Treasury Prime Money Market Fund
- ------------------

Ticker Symbol: N/A

GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund only invests in securities issued or guaranteed as
to principal and interest by the U.S. government.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.

6



PAST PERFORMANCE

As a new fund, past performance information is not available for the fund as of
the date of this prospectus.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year                 3 Years
- --------------------------------------------------------------------------------

$107                    $334

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                 General Treasury Prime Money Market Fund    7


<PAGE 7>

General Municipal Money Market Fund
- -----------------------
Ticker Symbol: GBMXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal personal income
tax, as is consistent with the preservation of capital and the maintenance of
liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal personal
income tax. The fund also may invest in high quality, short-term structured
notes, which are derivative instruments whose value is tied to underlying
municipal obligations. Structured notes typically are purchased in privately
negotiated transactions from financial institutions. When the portfolio manager
believes that acceptable municipal obligations are unavailable for investment,
the fund may invest temporarily in high quality, taxable money market
instruments. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal income
tax, interest from some of its holdings may be subject to the federal
alternative minimum tax. In addition, the fund occasionally may invest in
taxable money market instruments.


8


<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)


                                                        2.66    2.86    2.60
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                               Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                  2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                 <C>                                   <C>                                  <C>

$107                                 $334                                 $579                                 $1,283
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                      General Municipal Money Market Fund    9



<PAGE 9>

General California Municipal
Money Market Fund
- ----------------------
Ticker Symbol: GENXX


GOAL/APPROACH

The fund seeks to maximize current income exempt from federal and California
state personal income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal and
California state personal income taxes. The fund also may invest in high
quality, short-term structured notes, which are derivative instruments whose
value is tied to underlying municipal obligations. Structured notes typically
are purchased in privately negotiated transactions from financial institutions.
When the portfolio manager believes that acceptable California municipal
obligations are unavailable for investment, the fund may invest in securities
that may be subject to California state income tax, but are free from federal
income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    California's economy and revenues underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal and
California state income taxes, interest from some of its holdings may be subject
to the federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.


10


<PAGE 10>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.48    2.62    2.34
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.71%

WORST QUARTER:                   Q3 '98                          +0.53%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.48%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (8/1/95)
- --------------------------------------------------------------------------------
         2.34%                                                 2.52%

The fund's 7-day yield on 12/31/98 was 2.59%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.12%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.07%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                 <C>                                  <C>                                   <C>

$109                                 $340                                 $590                                 $1,306
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.07% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                              General California Municipal Money Market Fund  11




<PAGE 11>

General Minnesota Municipal
Money Market Fund
- -----------------------
Ticker Symbol: GMNXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal and Minnesota
state personal income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal and
Minnesota state personal income taxes. When the portfolio manager believes that
acceptable Minnesota municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    Minnesota's economy and revenues  underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Although the fund's objective is to generate income exempt from federal and
Minnesota state income taxes, interest from some of its holdings may be subject
to the federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.


12

<PAGE 12>


PAST PERFORMANCE

Since the fund has less than one calendar year of performance, past performance
information is not included. For performance information as of the end of the
fund's first fiscal period, please refer to the Statement of Additional
Information (SAI).



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------
$170                  $526

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%. This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                               General Minnesota Municipal Money Market Fund 13






<PAGE 13>

General New York Municipal
Money Market Fund
- ----------------------
Ticker Symbol: GNYXX


GOAL/APPROACH

The fund seeks to maximize current income exempt from federal, New York state
and New York city personal income taxes, as is consistent with the preservation
of capital and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal, New York
state and New York city personal income taxes. The fund also may invest in high
quality, short-term structured notes, which are derivative instruments whose
value is tied to underlying municipal obligations. Structured notes typically
are purchased in privately negotiated transactions from financial institutions.
When the portfolio manager believes that acceptable New York municipal
obligations are unavailable for investment, the fund may invest in securities
that may be subject to New York state and New York city income taxes, but are
free from federal income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    New York's economy and revenues  underlying its municipal  obligations  may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal, New
York state and New York city income taxes, interest from some of its holdings
may be subject to the federal alternative minimum tax. In addition, the fund
occasionally may invest in taxable bonds and/or municipal bonds that are exempt
only from federal personal income tax.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.


14


<PAGE 14>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)




                                                         2.51    2.70    2.42
1989    1990    1991    1992     1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.70%

WORST QUARTER:                   Q4 '98                          +0.55%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.52%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                               Since
                                                             inception
         1 Year                                               (9/8/95)
- --------------------------------------------------------------------------------

         2.42%                                                 2.57%

The fund's 7-day yield on 12/31/98 was 2.61%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 0.98%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                            General New York Municipal Money Market Fund    15





<PAGE 15>

MANAGEMENT

The investment adviser for each fund is The Dreyfus Corporation, 200 Park
Avenue, New York, New York 10166. Founded in 1947, Dreyfus manages more than
$118 billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of Mellon Financial Corporation, a global financial services company with
approximately $2.5 trillion in assets under management, administration or
custody, including approximately $450 billion under management. Mellon provides
wealth management, global investment services and a comprehensive array of
banking services for individuals, businesses and institutions. Mellon is
headquartered in Pittsburgh, Pennsylvania.

The Dreyfus asset management philosophy is based on the belief that discipline
and consistency are important to investment success. For each fund, Dreyfus
seeks to establish clear guidelines for portfolio management and to be
systematic in making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure that personal trading by Dreyfus employees does not disadvantage any
Dreyfus-managed fund. Dreyfus portfolio managers and other investment personnel
who comply with the Policy's preclearance and disclosure procedures may be
permitted to purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.



Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.


16


<PAGE 16>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
(except General Treasury Prime Money Market Fund) for the periods indicated. As
a new fund, financial highlights information is not available for General
Treasury Prime Money Market Fund as of the date of this prospectus. "Total
return" shows how much your investment in the fund would have increased (or
decreased) during each period, assuming you had reinvested all dividends and
distributions. These figures have been independently audited (except where
noted) by Ernst & Young LLP, whose report, along with the fund's financial
statements, is included in the annual report.

<TABLE>

                                                           (UNAUDITED)
                                                         SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                              MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                                     1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                           <C>              <C>           <C>           <C>            <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                          1.00            1.00          1.00           1.00           1.00

 Investment operations:  Investment income -- net              .021            .047          .039           .046           .043

 Distributions:          Dividends from investment
                         income -- net                        (.021)          (.047)        (.039)         (.046)         (.043)

 Net asset value, end of period                                1.00            1.00          1.00           1.00           1.00

 Total return (%)                                              4.17(3)         4.78          4.83(3)        4.65          5.18(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                   1.00            1.00          1.00(3)        1.00          1.00(3)

 Ratio of net investment income to average net assets (%)      4.14(3)         4.66          4.78(3)        4.56          5.00(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                  .04(3)          .06           .05(3)         .07           .07(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                      2,679,456     2,427,332      1,231,132       369,205         50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                           (UNAUDITED)
                                                         SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                              MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND               1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                          1.00           1.00          1.00            1.00           1.00

 Investment operations:  Investment income -- net              .020           .046          .038            .045           .042

 Distributions:          Dividends from investment
                         income -- net                       (.020)          (.046)        (.038)         (.045)         (.042)

 Net asset value, end of period                                1.00           1.00          1.00           1.00           1.00

 Total return (%)                                             4.05(3)         4.66         4.69(3)         4.58          5.01(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                 1.00(3)          .97          1.00(3)         1.00          1.00(3)

 Ratio of net investment income to average net assets (%)    4.01(3)         4.55          4.60(3)         4.48          5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .03(3)          .05           .05(3)          .08           .10(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                      650,987       645,984        364,845         90,175            58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                                                                            Financial Highlights 17



<PAGE 17>

FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                  (UNAUDITED)
                                                                SIX MONTHS ENDED
                                                                    MAY 31,                     YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                                 1999              1998         1997        1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                                 1.00             1.00         1.00        1.00       1.00

 Investment operations:  Investment income -- net                     .011             .026         .028        .027       .020

 Distributions:          Dividends from investment income -- net    (.011)            (.026)       (.028)      (.027)     (.020)

 Net asset value, end of period                                       1.00             1.00         1.00        1.00       1.00

 Total return (%)                                                   2.23(2)            2.64         2.86        2.70      3.01(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                        .98(2)             .96           .95         .85      1.10(2)

 Ratio of net investment income to average net assets (%)           2.22(2)           2.59          2.87        2.65      2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                      .07(2)             .09           .16         .29       .09(2)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                           401,156           377,636      263,008      17,491       3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.

                                                             (UNAUDITED)
                                                          SIX MONTHS ENDED    YEAR ENDED    FOUR MONTHS ENDED
                                                                MAY 31,       NOVEMBER 30,     NOVEMBER 30,   YEAR ENDED JULY 31,
 GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND                  1999             1998          1997(1)       1997      1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                            1.00            1.00           1.00          1.00       1.00

 Investment operations:  Investment income -- net                .002            .024           .009          .026       .025

 Distributions:          Dividends from investment
                         income -- net                          (.002)          (.024)         (.009)        (.026)     (.025)

 Net asset value, end of period                                  1.00            1.00           1.00          1.00       1.00

 Total return (%)                                               2.01(3)          2.39          2.57(3)        2.61       2.56
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                    1.00(3)          1.00          1.00(3)        1.00       1.00

 Ratio of net investment income to average net assets (%)       2.03(3)          2.34          2.62(3)        2.52       2.45

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                   .26(3)           .07           .13(3)         .07        .08
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                         47,012           8,760          2,669          928       5,475

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.
(2)  FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.
(3)  ANNUALIZED.
</TABLE>


18

<PAGE 18>

<TABLE>

                                                                            (UNAUDITED)
                                                                          SIX MONTHS ENDED
                                                                              MAY 31,              PERIOD ENDED NOVEMBER 30,
GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                  1999                       1998(1)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                            <C>                         <C>
PER-SHARE DATA ($)

Net asset value, beginning of period                                           1.00                        1.00

 Investment operations:  Investment income -- net                              .012                        .013

 Distributions:          Dividends from investment income -- net              (.012)                      (.013)

 Net asset value, end of period                                                1.00                        1.00

 Total return (%)                                                              2.43                        2.67(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                    .80                         .80(2)

Ratio of net investment income to average net assets (%)                      2.39                        2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                  .50                         .87(2)
- ------------------------------------------------------------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                       31,251                      28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.
(2)  ANNUALIZED.
</TABLE>

<TABLE>

                                                                       (UNAUDITED)
                                                                    SIX MONTHS ENDED
                                                                          MAY 31,                YEAR ENDED NOVEMBER 30,
 GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND                              1999            1998      1997       1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                       <C>              <C>       <C>        <C>        <C>
PER-SHARE DATA ($)

 Net asset value, beginning of period                                     1.00             1.00      1.00       1.00       1.00

 Investment operations:  Investment income -- net                         .010             .024      .027       .025       .006

 Distributions:          Dividends from investment income -- net         (.010)           (.024)    (.027)     (.025)     (.006)

 Net asset value, end of period                                          1.00              1.00      1.00       1.00       1.00

 Total return (%)                                                        2.01(2)           2.47      2.68       2.55      2.82(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                             .98(2)            .98       .95        .95      1.04(2)

 Ratio of net investment income to average net assets (%)               2.00(2)           2.44      2.64       2.47      3.64(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                           .09(2)            .08       .08        .16         --
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                                    43,146        46,997    42,169     36,199         --

(1)  FROM SEPTEMBER 8, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.
</TABLE>

                                                        Financial Highlights 19

<PAGE 19>


Your Investment

ACCOUNT POLICIES


Buying shares


GENERAL FUNDS are designed primarily for people who are investing through a
third party such as a bank, broker-dealer or financial adviser. Third parties
with whom you open a fund account may impose policies, limitations and fees
which are different than those described here. To purchase fund shares, contact
your financial representative.


APPLICABLE TO GENERAL MONEY MARKET FUND, GENERAL GOVERNMENT SECURITIES MONEY
MARKET FUND AND GENERAL TREASURY PRIME MONEY MARKET FUND ONLY:

YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York Stock Exchange or the fund's transfer agent is open. Your order will be
priced at the next NAV calculated after your order is accepted by the fund's
transfer agent or other authorized entity. Each fund's investments are valued
based on amortized cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you will receive the dividend declared that day. If your payments are received
in or converted into Federal Funds after 12:00 noon, you will begin to accrue
dividends on the following business day. Qualified institutions may telephone
orders to buy shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5:00 p.m. and will receive the dividend declared that day. If such an order is
made after 5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m. the next business day, the shares will be purchased at the NAV determined
at 8:00 p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, GENERAL MUNICIPAL
MONEY MARKET FUND, GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND AND GENERAL NEW
YORK MUNICIPAL MONEY MARKET FUND ONLY:

YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8:00 p.m., for each other municipal money market fund, every day the New York
Stock Exchange or the fund's transfer agent is open. Your order will be priced
at the next NAV calculated after your order is accepted by the fund's transfer
agent or other authorized entity. Each fund's investments are valued based on
amortized cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for the Minnesota Municipal Money Market Fund or by 4:00 p.m. for each other
municipal money market fund, you will receive the dividend declared that day. If
your payments are received in or converted into Federal Funds after 12:00 noon
for the Minnesota Municipal Money Market Fund or after 4:00 p.m. for each other
municipal money market fund, you will begin to accrue dividends on the following
business day. Qualified institutions may telephone orders to buy shares. If such
an order is made by 12:00 noon for the Minnesota Municipal Money Market Fund or
by 2:00 p.m. for each other municipal money market fund, and Federal Funds are
received by 4:00 p.m., the shares will be purchased at the NAV determined after
the telephone order is accepted and will receive the dividend

20

<PAGE 20>

declared that day. If such an order is made after 12:00 noon for the Minnesota
Municipal Money Market Fund or after 2:00 p.m. for any of the other municipal
money market funds,  but by 8:00 p.m., and Federal Funds are received by 11:00
a.m. the next business day, the shares will be purchased at the NAV determined
at 8:00 p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

BECAUSE THE MUNICIPAL MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.




Selling shares

YOU MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or you can contact the fund directly. Your shares will be sold at the next NAV
calculated after your order is accepted by the fund's transfer agent or other
authorized entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE SELLING recently purchased shares,  please note that if the fund has
not yet collected  payment for the shares you are selling,  it may delay sending
the proceeds for up to eight business days or until it has collected payment.







Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.



General policies


UNLESS YOU DECLINE  TELEPHONE  PRIVILEGES,  you may be responsible  for any
fraudulent  telephone  order as long as Dreyfus  takes  reasonable  measures  to
verify that the order is from a representative of your financial institution.


EACH FUND RESERVES THE RIGHT TO:

*    refuse any  purchase or exchange  request that could  adversely  affect the
     fund or its  operations,  including those from any individual or group who,
     in the  fund's  view,  is likely to engage in  excessive  trading  (usually
     defined as more than four exchanges out of the fund within a calendar year)

*    refuse any purchase or exchange request in excess of 1% of the fund's total
     assets

*    change or discontinue its exchange  privilege,  or temporarily suspend this
     privilege during unusual market conditions

*    change its minimum investment amounts

*    delay  sending  out  redemption  proceeds  for up to seven days  (generally
     applies  only in cases of very  large  redemptions,  excessive  trading  or
     during unusual market conditions)

Each fund also reserves the right to make a "redemption in kind" -- payment in
portfolio securities rather than cash -- if the amount you are redeeming is
large enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).




                                                            Your Investment  21

<PAGE 21>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once a month, and distributes any net realized securities gains once a year.
Your dividends and distributions will be reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS AND DISTRIBUTIONS PAID by the taxable money market funds are taxable
to U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH MUNICIPAL MONEY MARKET FUND anticipates that, under normal market
conditions, virtually all of its income dividends will be exempt from federal
and, as to California Municipal Money Market Fund, California, as to Minnesota
Municipal Money Market Fund, Minnesota, and as to New York Municipal Money
Market Fund, New York state and New York city, personal income taxes. However,
any dividends and distributions from taxable investments are taxable as ordinary
income.



Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.
The tax status of any distribution is the same regardless of how long you have
been in the fund and whether you reinvest your distributions or take them in
cash.

The tax status of any  distribution  is the same regardless of how long you
have been in the fund and whether you reinvest your  distributions  or take them
in cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.




Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.





22


<PAGE 22>

NOTES




NOTES

<PAGE>


NOTES


For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Treasury Prime
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General California Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-4871

General Minnesota Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General New York Municipal
Money Market Fund
- -----------------------------------
SEC file number:  811-4870


More information on each fund is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with the Securities and Exchange Commission (SEC) and is incorporated by
reference (is legally considered part of this prospectus).



To obtain information:


BY TELEPHONE
Call your First Albany Consultant
or 1-800-462-6242

BY MAIL  Write to:
First Albany Corporation
30 South Pearl Street
P.O. Box 52
Albany, NY 12201-0052

E-MAIL ADDRESS  [email protected]


ON THE INTERNET  Text-only versions of fund documents can
be viewed online or downloaded from:
http://www.sec.gov


You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.



(c) 1999 Dreyfus Service Corporation
GEN-P1299B-FA

<PAGE>


- --------------------------------------------------------------------------------


General Money Market Funds

General Money Market Fund

General Government Securities Money Market Fund

General Treasury Prime Money Market Fund

General Municipal Money Market Fund

General California Municipal Money Market Fund

General Minnesota Municipal Money Market Fund

General New York Municipal Money Market Fund

Investing in high quality, short-term securities for current income, safety of
principal and liquidity

PROSPECTUS December 1, 1999

CLASS B SHARES
[Dreyfus Logo]

THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF SELECT BROKER-DEALERS.


As with all mutual funds, the Securities and Exchange Commission has not
approved or disapproved these securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.







The Funds

Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4

General Treasury Prime
Money Market Fund                                                         6

General Municipal
Money Market Fund                                                         8

General California Municipal
Money Market Fund                                                        10

General Minnesota Municipal
Money Market Fund                                                        12

General New York Municipal
Money Market Fund                                                        14

Management                                                               16

Financial Highlights                                                     17

Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         20

Distributions and Taxes                                                  22



For More Information
- --------------------------------------------------------------------------------

MORE   INFORMATION   ON   EACH   FUND  CAN  BE  FOUND  IN  THE  FUND' S  CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.



Introduction

Each  fund  is  a money market mutual fund with a separate investment portfolio.
The  operations and results of a fund are unrelated to those of each other fund.
This  combined prospectus has been prepared for your convenience so that you can
consider seven investment choices in one document.

As  a  money  market  fund,  each  fund  is  subject  to  maturity,  quality and
diversification requirements designed to help it maintain a stable share price.

Generally,  each  fund  is  required to invest at least 95% of its assets in the
securities  of  issuers with the highest credit rating or the unrated equivalent
as  determined  by  Dreyfus,  with the remainder invested in securities with the
second-highest credit rating.

An  investment  in  a  fund  is not insured or guaranteed by the Federal Deposit
Insurance  Corporation  or any other government agency. Although each fund seeks
to  preserve  the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.



Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*    maintain an average dollar-weighted portfolio maturity of 90 days or less

*    buy individual  securities  that have remaining  maturities of 13 months or
     less

*    invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less.

                                                                    The Funds 1

<PAGE 1>


                                                      General Money Market Fund
                                                      -------------------------
                                                           Ticker Symbol: GMBXX

GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation  of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*    securities issued or guaranteed by the U.S. government or its agencies

*    certificates  of deposit,  time deposits,  bankers'  acceptances  and other
     short-term  securities  issued  by  domestic  or  foreign  banks  or  their
     subsidiaries or branches

*    repurchase agreements

*    asset-backed securities

*    domestic  and  dollar-denominated   foreign  commercial  paper,  and  other
     short-term corporate obligations, including those with floating or variable
     rates of interest

*    dollar-denominated  obligations issued or guaranteed by one or more foreign
     governments or any of their political subdivisions or agencies

Normally,  the  fund  invests  at  least  25%  of  its net assets in domestic or
dollar-denominated foreign bank obligations.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    the  risks  generally  associated  with  concentrating  investments  in the
     banking  industry,  such as interest rate risk,  credit risk and regulatory
     developments relating to the banking industry

*    the risks generally associated with dollar-denominated foreign investments,
     such as economic and political developments,  seizure or nationalization of
     deposits,  imposition  of taxes or other  restrictions  on the  payment  of
     principal and interest


2


<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.68    4.84    4.73
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                    Since
                                                                  inception
         1 Year                                                   (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                     4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                                   General Money Market Fund  3





<PAGE 3>

                                                   General Government Securities
                                                   Money Market Fund
                                                   -----------------------------
                                                   Ticker Symbol: GSBXX

GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To  pursue this goal, the fund invests in securities issued or guaranteed by the
U.S.  government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A  security  backed  by  the  U.S.  Treasury or the full faith and credit of the
United  States  is  guaranteed  only  as  to  the timely payment of interest and
principal  when  held to maturity. The current market prices for such securities
are  not  guaranteed  and  will  fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


4


<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)


                                                        4.60    4.69    4.61
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.18%

WORST QUARTER:                   Q4 '98                          +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                   (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                     4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$104                                 $325                                 $563                                 $1,248
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.




                             General Government Securities Money Market Fund  5





<PAGE 5>

                                                         General Treasury Prime
                                                              Money Market Fund
                                                             ------------------
                                                             Ticker Symbol: N/A

GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund only invests in securities issued or guaranteed as
to principal and interest by the U.S. government.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A  security  backed  by  the  U.S.  Treasury or the full faith and credit of the
United  States  is  guaranteed  only  as  to  the timely payment of interest and
principal  when  held to maturity. The current market prices for such securities
are  not  guaranteed  and  will  fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


6

<PAGE 6>

PAST PERFORMANCE

As  a new fund, past performance information is not available for the fund as of
the date of this prospectus.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year                 3 Years
- --------------------------------------------------------------------------------

$107                    $334

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.




Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                    General Treasury Prime Money Market Fund  7




<PAGE 7>

                                            General Municipal Money Market Fund
                                                     -----------------------
                                                           Ticker Symbol: GBMXX

GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal personal income
tax,  as  is  consistent with the preservation of capital and the maintenance of
liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the interest from which is exempt from federal personal
income  tax.  The  fund  also  may invest in high quality, short-term structured
notes,  which  are  derivative  instruments  whose  value  is tied to underlying
municipal  obligations.  Structured  notes  typically are purchased in privately
negotiated  transactions from financial institutions. When the portfolio manager
believes  that  acceptable municipal obligations are unavailable for investment,
the   fund  may  invest  temporarily  in  high  quality,  taxable  money  market
instruments. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's objective is to generate income exempt from federal income
tax,  interest  from  some  of  its  holdings  may  be  subject  to  the federal
alternative  minimum  tax.  In  addition,  the  fund  occasionally may invest in
taxable money market instruments.


8


<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund' s performance from year to year. The second table
averages  the  fund' s performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.66    2.86    2.60
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                  (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                     2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$107                                 $334                                 $579                                 $1,283
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.



                    General Municipal Money Market Fund 9




<PAGE 9>

                                                   General California Municipal
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GENXX



GOAL/APPROACH

The  fund  seeks  to  maximize current income exempt from federal and California
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
California  state  personal  income  taxes.  The  fund  also  may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When  the  portfolio  manager  believes  that  acceptable  California  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to California state income tax, but are free from federal
income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    California's economy and revenues underlying its municipal obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's  objective  is to generate income exempt from federal and
California state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


10


<PAGE 10>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.48    2.62    2.34
1980    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.71%

WORST QUARTER:                   Q3 '98                          +0.53%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.48%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                      Since
                                                                    inception
         1 Year                                                     (8/1/95)
- --------------------------------------------------------------------------------

         2.34%                                                        2.52%

The fund's 7-day yield on 12/31/98 was 2.59%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.12%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.07%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                 <C>                                   <C>                                  <C>

$109                                 $340                                 $590                                 $1,306

</TABLE>

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.07% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.



                             General California Municipal Money Market Fund  11




<PAGE 11>

                                                     General Minnesota Municipal
                                                               Money Market Fund
                                                         -----------------------
                                                            Ticker Symbol: GMNXX


GOAL/APPROACH

The  fund  seeks  to  maximize  current income exempt from federal and Minnesota
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
Minnesota  state personal income taxes. When the portfolio manager believes that
acceptable  Minnesota  municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    Minnesota's economy and revenues underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Although  the  fund's  objective  is to generate income exempt from federal and
Minnesota  state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


12


<PAGE 12>

PAST PERFORMANCE

Since  the fund has less than one calendar year of performance, past performance
information  is  not  included. For performance information as of the end of the
fund's  first  fiscal  period,  please  refer  to  the  Statement of Additional
Information (SAI).



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------

$170                  $526

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.




Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%. This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                              General Minnesota Municipal Money Market Fund  13




<PAGE 13>

                                                      General New York Municipal
                                                               Money Market Fund
                                                          ----------------------
                                                            Ticker Symbol: GNYXX



GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal, New York state
and  New York city personal income taxes, as is consistent with the preservation
of capital and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations, the interest from which is exempt from federal, New York
state  and New York city personal income taxes. The fund also may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When   the  portfolio  manager  believes  that  acceptable  New  York  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to New York state and New York city income taxes, but are
free from federal income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    New York's economy and revenues  underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's  objective is to generate income exempt from federal, New
York  state  and  New York city income taxes, interest from some of its holdings
may  be  subject  to  the federal alternative minimum tax. In addition, the fund
occasionally  may invest in taxable bonds and/or municipal bonds that are exempt
only from federal personal income tax.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


14


<PAGE 14>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.51    2.70    2.42
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.70%

WORST QUARTER:                   Q4 '98                          +0.55%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.52%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                  Since
                                                                 inception
         1 Year                                                  (9/8/95)
- --------------------------------------------------------------------------------

         2.42%                                                     2.57%

The fund's 7-day yield on 12/31/98 was 2.61%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 0.98%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.




                               General New York Municipal Money Market Fund  15





<PAGE 15>

MANAGEMENT

The  investment  adviser  for  each  fund  is  The Dreyfus Corporation, 200 Park
Avenue,  New  York,  New  York 10166. Founded in 1947, Dreyfus manages more than
$118  billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus  a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of  Mellon  Financial  Corporation,  a  global  financial  services company with
approximately  $2.5  trillion  in  assets  under  management,  administration or
custody,  including approximately $450 billion under management. Mellon provides
wealth  management,  global  investment  services  and  a comprehensive array of
banking  services  for  individuals,  businesses  and  institutions.  Mellon  is
headquartered in Pittsburgh, Pennsylvania.

The  Dreyfus  asset management philosophy is based on the belief that discipline
and  consistency  are  important  to  investment success. For each fund, Dreyfus
seeks  to  establish  clear  guidelines  for  portfolio  management  and  to  be
systematic  in  making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus  has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure  that  personal  trading  by  Dreyfus employees does not disadvantage any
Dreyfus-managed  fund. Dreyfus portfolio managers and other investment personnel
who  comply  with  the  Policy's  preclearance and disclosure procedures may be
permitted  to  purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.



Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.


16

<PAGE 16>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
(except  General Treasury Prime Money Market Fund) for the periods indicated. As
a  new  fund,  financial  highlights  information  is  not available for General
Treasury  Prime  Money  Market  Fund  as  of the date of this prospectus. "Total
return"  shows  how  much  your  investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  independently  audited (except where
noted)  by  Ernst  & Young  LLP,  whose  report, along with the fund's financial
statements, is included in the annual report.

<TABLE>


                                                             (UNAUDITED)
                                                           SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                                MAY 31,      NOVEMBER 30,   NOVEMBER 30,   YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                                       1999            1998         1997(1)         1997       1996(2)
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                                             <C>               <C>          <C>            <C>         <C>


PER-SHARE DATA ($)


 Net asset value, beginning of period                             1.00            1.00          1.00          1.00        1.00

 Investment operations:  Investment income -- net                 .021            .047          .039          .046        .043

 Distributions:          Dividends from investment income -- net (.021)          (.047)        (.039)        (.046)      (.043)

 Net asset value, end of period                                   1.00            1.00          1.00          1.00        1.00

 Total return (%)                                                 4.17(3)         4.78          4.83(3)       4.65        5.18(3)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                      1.00            1.00          1.00(3)       1.00        1.00(3)

 Ratio of net investment income to average net assets (%)         4.14(3)         4.66          4.78(3)       4.56        5.00(3)

 Decrease reflected in above expense ratios
 due to  actions by Dreyfus (%)                                    .04(3)          .06           .05(3)        .07         .07(3)
- -------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                       2,679,456       2,427,332     1,231,132       369,205      50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

 (UNAUDITED)
                                                           SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                                MAY 31,       NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND                 1999            1998         1997(1)      1997          1996(2)
- --------------------------------------------------------------------------------------------------------------------------------


PER-SHARE DATA ($)


 Net asset value, beginning of period                             1.00           1.00           1.00         1.00         1.00

 Investment operations:  Investment income -- net                 .020           .046           .038         .045         .042

 Distributions:          Dividends from investment income -- net (.020)         (.046)         (.038)       (.045)       (.042)

 Net asset value, end of period                                   1.00           1.00           1.00         1.00         1.00

 Total return (%)                                                 4.05(3)        4.66           4.69(3)      4.58         5.01(3)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                      1.00(3)         .97           1.00(3)      1.00         1.00(3)

 Ratio of net investment income to average net assets (%)         4.01(3)        4.55           4.60(3)      4.48         5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                     .03(3)         .05            .05(3)       .08          .10(3)
- -------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                         650,987        645,984        364,845       90,175           58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.


                                                        Financial Highlights  17



<PAGE 17>

FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                 (UNAUDITED)
                                                              SIX MONTHS ENDED
                                                                   MAY 31,                       YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                                 1999              1998         1997        1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)


 Net asset value, beginning of period                               1.00               1.00        1.00        1.00       1.00

 Investment operations:  Investment income -- net                   .011               .026        .028        .027       .020

 Distributions:          Dividends from investment income -- net   (.011)             (.026)      (.028)      (.027)     (.020)

 Net asset value, end of period                                     1.00               1.00        1.00        1.00       1.00

 Total return (%)                                                   2.23(2)            2.64        2.86        2.70       3.01(2)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                         .98(2)            .96          .95         .85       1.10(2)

 Ratio of net investment income to average net assets (%)           2.22(2)           2.59         2.87        2.65       2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                       .07(2)            .09          .16         .29        .09(2)
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                           401,156           377,636      263,008      17,491      3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.

                                                              (UNAUDITED)
                                                           SIX MONTHS ENDED    YEAR ENDED    FOUR MONTHS ENDED
                                                                MAY 31,       NOVEMBER 30,     NOVEMBER 30,   YEAR ENDED JULY 31,
 GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND                  1999             1998          1997(1)      1997       1996(2)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)


 Net asset value, beginning of period                               1.00         1.00             1.00       1.00       1.00

 Investment operations:  Investment income -- net                   .002         .024             .009       .026       .025

 Distributions:          Dividends from investment income -- net   (.002)       (.024)           (.009)     (.026)     (.025)

 Net asset value, end of period                                     1.00         1.00             1.00       1.00       1.00

 Total return (%)                                                   2.01(3)      2.39             2.57(3)    2.61       2.56
- --------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                        1.00(3)      1.00             1.00(3)    1.00       1.00

 Ratio of net investment income to average net assets (%)           2.03(3)      2.34             2.62(3)    2.52       2.45

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                       .26(3)       .07              .13(3)     .07        .08
- --------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                            47,012        8,760            2,669        928      5,475

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.
(2)  FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.
(3)  ANNUALIZED.

</TABLE>

18

<PAGE 18>

<TABLE>

                                                                                       (UNAUDITED)
                                                                                     SIX MONTHS ENDED
                                                                                         MAY 31,         PERIOD ENDED NOVEMBER 30,
GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                              1999                1998(1)
- -----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                        <C>                  <C>

PER-SHARE DATA ($)

Net asset value, beginning of period                                                        1.00                1.00

 Investment operations:  Investment income -- net                                           .012                .013

 Distributions:          Dividends from investment income -- net                           (.012)              (.013)

 Net asset value, end of period                                                             1.00                1.00

 Total return (%)                                                                           2.43                2.67(2)
- -----------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                                  .80                .80(2)

Ratio of net investment income to average net assets (%)                                    2.39               2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                                .50                .87(2)
- -----------------------------------------------------------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                                     31,251             28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.

(2)  ANNUALIZED.
</TABLE>

<TABLE>

                                                                    (UNAUDITED)
                                                                   SIX MONTHS ENDED
                                                                       MAY 31,                 YEAR ENDED NOVEMBER 30,
 GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND                          1999             1998       1997      1996      1995(1)
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                                                    <C>              <C>        <C>       <C>       <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                                  1.00             1.00       1.00      1.00      1.00

 Investment operations:  Investment income -- net                      .010             .024       .027      .025      .006

 Distributions:          Dividends from investment income -- net      (.010)           (.024)     (.027)    (.025)    (.006)

 Net asset value, end of period                                        1.00             1.00       1.00      1.00      1.00

 Total return (%)                                                      2.01(2)          2.47       2.68      2.55      2.82(2)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                            .98(2)           .98        .95       .95      1.04(2)

 Ratio of net investment income to average net assets (%)              2.00(2)          2.44       2.64      2.47      3.64(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                          .09(2)           .08        .08       .16        --
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                               43,146           46,997     42,169    36,199        --

(1)  FROM SEPTEMBER 8, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.
</TABLE>


                                                       Financial Highlights 19

<PAGE 19>


                                                                Your Investment

ACCOUNT POLICIES

Buying shares


GENERAL  FUNDS  are  designed  primarily  for people who are investing through a
third  party  such  as a bank, broker-dealer or financial adviser. Third parties
with  whom  you  open  a  fund account may impose policies, limitations and fees
which  are different than those described here. To purchase fund shares, contact
your financial representative.


APPLICABLE TO GENERAL MONEY MARKET FUND,
GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND AND
GENERAL TREASURY PRIME MONEY MARKET FUND ONLY:

YOUR  PRICE  FOR  FUND  SHARES  is  the  fund' s net asset value (NAV), which is
generally  calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York  Stock  Exchange  or  the fund's transfer agent is open. Your order will be
priced  at  the  next  NAV calculated after your order is accepted by the fund's
transfer  agent  or  other authorized entity. Each fund's investments are valued
based    on    amortized    cost.

IF  YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you  will  receive the dividend declared that day. If your payments are received
in  or  converted  into Federal Funds after 12:00 noon, you will begin to accrue
dividends  on  the  following business day. Qualified institutions may telephone
orders  to  buy  shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5: 00  p.m. and will receive the dividend declared that day. If such an order is
made  after  5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, GENERAL MUNICIPAL
MONEY MARKET FUND, GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND AND GENERAL NEW
YORK MUNICIPAL MONEY MARKET FUND ONLY:

YOUR  PRICE  FOR  FUND  SHARES  is  the  fund's net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal  Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8: 00  p.m.,  for each other municipal money market fund, every day the New York
Stock  Exchange  or the fund's transfer agent is open. Your order will be priced
at  the  next NAV calculated after your order is accepted by the fund's transfer
agent  or  other  authorized entity. Each fund's investments are valued based on
amortized    cost.

IF  YOUR  PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for  the  Minnesota  Municipal  Money Market Fund or by 4:00 p.m. for each other
municipal money market fund, you will receive the dividend declared that day. If
your  payments  are received in or converted into Federal Funds after 12:00 noon
for  the Minnesota Municipal Money Market Fund or after 4:00 p.m. for each other
municipal money market fund, you will begin to accrue dividends on the following
business day. Qualified institutions may telephone orders to buy shares. If such
an  order is made by 12:00 noon for the Minnesota Municipal Money Market Fund or
by  2: 00 p.m. for each other municipal money market fund, and Federal Funds are
received  by 4:00 p.m., the shares will be purchased at the NAV determined after
the    telephone   order   is   accepted   and   will   receive   the   dividend
20


<PAGE 20>

declared  that  day. If such an order is made after 12:00 noon for the Minnesota
Municipal  Money  Market  Fund or after 2:00 p.m. for any of the other municipal
money  market  funds,  but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

BECAUSE  THE  MUNICIPAL  MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.




Selling shares

YOU  MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or  you  can contact the fund directly. Your shares will be sold at the next NAV
calculated  after  your  order is accepted by the fund's transfer agent or other
authorized  entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE SELLING recently purchased shares,  please note that if the fund has
not yet collected  payment for the shares you are selling,  it may delay sending
the proceeds for up to eight business days or until it has collected payment.






Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.



General policies


UNLESS YOU DECLINE  TELEPHONE  PRIVILEGES,  you may be responsible  for any
fraudulent  telephone  order as long as Dreyfus  takes  reasonable  measures  to
verify that the order is from a representative of your financial institution.


EACH FUND RESERVES THE RIGHT TO:

*    refuse any  purchase or exchange  request that could  adversely  affect the
     fund or its  operations,  including those from any individual or group who,
     in the fund's view,  is likely to  engage in  excessive  trading  (usually
     defined as more than four exchanges out of the fund within a calendar year)

*    refuse any purchase or exchange request in excess of 1% of the fund's total
     assets

*    change or discontinue its exchange  privilege,  or temporarily suspend this
     privilege during unusual market conditions

*    change its minimum investment amounts

*    delay  sending  out  redemption  proceeds  for up to seven days  (generally
     applies  only in cases of very  large  redemptions,  excessive  trading  or
     during unusual market conditions)

Each  fund  also reserves the right to make a "redemption in kind" -- payment in
portfolio  securities  rather  than  cash  -- if the amount you are redeeming is
large  enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).



                                                          Your Investment  21

<PAGE 21>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once  a  month,  and  distributes any net realized securities gains once a year.
Your  dividends  and  distributions  will  be  reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS  AND  DISTRIBUTIONS PAID by the taxable money market funds are taxable
to  U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH   MUNICIPAL  MONEY  MARKET  FUND  anticipates  that,  under  normal  market
conditions,  virtually  all  of its income dividends will be exempt from federal
and,  as  to California Municipal Money Market Fund, California, as to Minnesota
Municipal  Money  Market  Fund,  Minnesota,  and  as to New York Municipal Money
Market  Fund,  New York state and New York city, personal income taxes. However,
any dividends and distributions from taxable investments are taxable as ordinary
income.



Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.

The  tax  status of any distribution is the same regardless of how long you have
been  in  the  fund  and whether you reinvest your distributions or take them in
cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.




Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.





22

<PAGE 22>

NOTES






NOTES




NOTES





                                                           For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Treasury Prime
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General California Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-4871

General Minnesota Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General New York Municipal
Money Market Fund
- -----------------------------------
SEC file number:  811-4870



More  information  on  each  fund  is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with  the  Securities  and  Exchange  Commission  (SEC)  and  is incorporated by
reference (is legally considered part of this prospectus).



To obtain information:


BY TELEPHONE
Call your financial representative or 1-800-554-4611


BY MAIL  Write to:
The Dreyfus Family of Funds
144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

ON THE INTERNET  Text-only versions of fund documents can
be viewed online or downloaded from:
http://www.sec.gov

You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.


(c) 1999 Dreyfus Service Corporation
GEN-P1299B-GAM

<PAGE>


- --------------------------------------------------------------------------------

General Money Market Funds

General Money Market Fund

General Government Securities
Money Market Fund

General Treasury Prime
Money Market Fund

General Municipal Money Market Fund

General California Municipal
Money Market Fund

General Minnesota Municipal
Money Market Fund

General New York Municipal
Money Market Fund

Investing in high quality, short-term securities for current income, safety of
principal and liquidity


PROSPECTUS December 1, 1999

CLASS B SHARES



[Stifel, Nicolaus & Company, Incorporated Logo]




THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF STIFEL, NICOLAUS &
COMPANY, INCORPORATED.


As with all mutual funds, the Securities and Exchange Commission has not
approved or disapproved these securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.




<PAGE>

The Funds

Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4

General Treasury Prime
Money Market Fund                                                         6

General Municipal
Money Market Fund                                                         8

General California Municipal
Money Market Fund                                                        10

General Minnesota Municipal
Money Market Fund                                                        12

General New York Municipal
Money Market Fund                                                        14

Management                                                               16

Financial Highlights                                                     17

Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         20

Distributions and Taxes                                                  22



For More Information
- --------------------------------------------------------------------------------

MORE   INFORMATION   ON   EACH   FUND  CAN  BE  FOUND  IN  THE  FUND'S  CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.

Introduction

Each  fund  is  a money market mutual fund with a separate investment portfolio.
The  operations and results of a fund are unrelated to those of each other fund.
This  combined prospectus has been prepared for your convenience so that you can
consider seven investment choices in one document.

As  a  money  market  fund,  each  fund  is  subject  to  maturity,  quality and
diversification requirements designed to help it maintain a stable share price.

Generally,  each  fund  is  required to invest at least 95% of its assets in the
securities  of  issuers with the highest credit rating or the unrated equivalent
as  determined  by  Dreyfus,  with the remainder invested in securities with the
second-highest credit rating.

An  investment  in  a  fund  is not insured or guaranteed by the Federal Deposit
Insurance  Corporation  or any other government agency. Although each fund seeks
to  preserve  the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.



Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*    maintain an average dollar-weighted portfolio maturity of 90 days or less

*    buy individual  securities  that have remaining  maturities of 13 months or
     less

*    invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less.

                                                                   The Funds  1

<PAGE 1>


                                                      General Money Market Fund
                                                        -----------------------
                                                           Ticker Symbol: GMBXX


GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation  of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*    securities issued or guaranteed by the U.S. government or its agencies

*    certificates  of deposit,  time deposits,  bankers'  acceptances  and other
     short-term  securities  issued  by  domestic  or  foreign  banks  or  their
     subsidiaries or branches

*    repurchase agreements

*    asset-backed securities

*    domestic  and  dollar-denominated   foreign  commercial  paper,  and  other
     short-term corporate obligations, including those with floating or variable
     rates of interest

*    dollar-denominated  obligations issued or guaranteed by one or more foreign
     governments or any of their political subdivisions or agencies

Normally,  the  fund  invests  at  least  25%  of  its net assets in domestic or
dollar-denominated foreign bank obligations.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    the  risks  generally  associated  with  concentrating  investments  in the
     banking  industry,  such as interest rate risk,  credit risk and regulatory
     developments relating to the banking industry

*    the risks generally associated with dollar-denominated foreign investments,
     such as economic and political developments,  seizure or nationalization of
     deposits,  imposition  of taxes or other  restrictions  on the  payment  of
     principal and interest


2


<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund' s performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.68    4.84     4.73
1989    1990    1991    1992    1993    1994    1995    1996    1997     1998


BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------


Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                   (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                     4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.





What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                                 General Money Market Fund   3








<PAGE 3>

                                                  General Government Securities
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GSBXX


GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To  pursue this goal, the fund invests in securities issued or guaranteed by the
U.S.  government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A  security  backed  by  the  U.S.  Treasury or the full faith and credit of the
United  States  is  guaranteed  only  as  to  the timely payment of interest and
principal  when  held to maturity. The current market prices for such securities
are  not  guaranteed  and  will  fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.

4



<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund' s performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.60    4.69    4.61
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.18%

WORST QUARTER:                   Q4 '98                          +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                  (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                     4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$104                                 $325                                 $563                                 $1,248

</TABLE>

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.



                            General Government Securities Money Market Fund  5






<PAGE 5>

                                                         General Treasury Prime
                                                              Money Market Fund
                                                             ------------------
                                                             Ticker Symbol: N/A


GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund only invests in securities issued or guaranteed as
to principal and interest by the U.S. government.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A  security  backed  by  the  U.S.  Treasury or the full faith and credit of the
United  States  is  guaranteed  only  as  to  the timely payment of interest and
principal  when  held to maturity. The current market prices for such securities
are  not  guaranteed  and  will  fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


6


<PAGE 6>

PAST PERFORMANCE

As  a new fund, past performance information is not available for the fund as of
the date of this prospectus.





What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year                 3 Years
- --------------------------------------------------------------------------------

$107                    $334

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.




Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                   General Treasury Prime Money Market Fund  7






<PAGE 7>

                                            General Municipal Money Market Fund
                                                     -----------------------
                                                           Ticker Symbol: GBMXX


GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal personal income
tax,  as  is  consistent with the preservation of capital and the maintenance of
liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the interest from which is exempt from federal personal
income  tax.  The  fund  also  may invest in high quality, short-term structured
notes,  which  are  derivative  instruments  whose  value  is tied to underlying
municipal  obligations.  Structured  notes  typically are purchased in privately
negotiated  transactions from financial institutions. When the portfolio manager
believes  that  acceptable municipal obligations are unavailable for investment,
the   fund  may  invest  temporarily  in  high  quality,  taxable  money  market
instruments. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's objective is to generate income exempt from federal income
tax,  interest  from  some  of  its  holdings  may  be  subject  to  the federal
alternative  minimum  tax.  In  addition,  the  fund  occasionally may invest in
taxable money market instruments.

8



<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund' s performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)




                                                        2.66    2.86    2.60
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                  (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                     2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.





What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

<TABLE>
1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$107                                 $334                                 $579                                 $1,283

</TABLE>

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                        General Municipal Money Market Fund  9








<PAGE 9>

                                                   General California Municipal
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GENXX


GOAL/APPROACH

The  fund  seeks  to  maximize current income exempt from federal and California
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
California  state  personal  income  taxes.  The  fund  also  may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When  the  portfolio  manager  believes  that  acceptable  California  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to California state income tax, but are free from federal
income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    California's economy and revenues underlying its municipal obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's  objective  is to generate income exempt from federal and
California state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


10


<PAGE 10>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund' s performance from year to year. The second table
averages  the  fund' s performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.48    2.62    2.34
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.71%

WORST QUARTER:                   Q3 '98                          +0.53%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.48%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                  inception
         1 Year                                                   (8/1/95)
- --------------------------------------------------------------------------------

         2.34%                                                     2.52%

The fund's 7-day yield on 12/31/98 was 2.59%. For the fund's current yield, call
toll-free 1-800-645-6561.




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.12%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.07%
- --------------------------------------------------------------------------------

Expense example

<TABLE>
1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                 <C>                                   <C>

$109                                 $340                                 $590                                 $1,306

</TABLE>

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.07% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.



                             General California Municipal Money Market Fund  11








<PAGE 11>

                                                    General Minnesota Municipal
                                                              Money Market Fund
                                                        -----------------------
                                                           Ticker Symbol: GMNXX


GOAL/APPROACH

The  fund  seeks  to  maximize  current income exempt from federal and Minnesota
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
Minnesota  state personal income taxes. When the portfolio manager believes that
acceptable  Minnesota  municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    Minnesota's economy and revenues underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Although  the  fund's  objective  is to generate income exempt from federal and
Minnesota  state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


12


<PAGE 12>

PAST PERFORMANCE

Since  the fund has less than one calendar year of performance, past performance
information  is  not  included. For performance information as of the end of the
fund's  first  fiscal  period,  please  refer  to  the  Statement of Additional
Information (SAI).




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------

$170                  $526

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.




Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%. This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                             General Minnesota Municipal Money Market Fund  13






<PAGE 13>

                                                     General New York Municipal
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GNYXX


GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal, New York state
and  New York city personal income taxes, as is consistent with the preservation
of capital and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations, the interest from which is exempt from federal, New York
state  and New York city personal income taxes. The fund also may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When   the  portfolio  manager  believes  that  acceptable  New  York  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to New York state and New York city income taxes, but are
free from federal income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    New York's economy and revenues  underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's  objective is to generate income exempt from federal, New
York  state  and  New York city income taxes, interest from some of its holdings
may  be  subject  to  the federal alternative minimum tax. In addition, the fund
occasionally  may invest in taxable bonds and/or municipal bonds that are exempt
only from federal personal income tax.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


14


<PAGE 14>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.51   2.70    2.42
1989    1990    1991    1992    1993    1994    1995    1996   1997    1998


BEST QUARTER:                    Q2 '97                          +0.70%

WORST QUARTER:                   Q4 '98                          +0.55%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.52%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                   (9/8/95)
- --------------------------------------------------------------------------------

         2.42%                                                     2.57%

The fund's 7-day yield on 12/31/98 was 2.61%. For the fund's current yield, call
toll-free 1-800-645-6561.




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.06%
- --------------------------------------------------------------------------------

Expense example

<TABLE>
1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294

</TABLE>

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 0.98%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                               General New York Municipal Money Market Fund  15








<PAGE 15>

MANAGEMENT

The  investment  adviser  for  each  fund  is  The Dreyfus Corporation, 200 Park
Avenue,  New  York,  New  York 10166. Founded in 1947, Dreyfus manages more than
$118  billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus  a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of  Mellon  Financial  Corporation,  a  global  financial  services company with
approximately  $2.5  trillion  in  assets  under  management,  administration or
custody,  including approximately $450 billion under management. Mellon provides
wealth  management,  global  investment  services  and  a comprehensive array of
banking  services  for  individuals,  businesses  and  institutions.  Mellon  is
headquartered in Pittsburgh, Pennsylvania.

The  Dreyfus  asset management philosophy is based on the belief that discipline
and  consistency  are  important  to  investment success. For each fund, Dreyfus
seeks  to  establish  clear  guidelines  for  portfolio  management  and  to  be
systematic  in  making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus  has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure  that  personal  trading  by  Dreyfus employees does not disadvantage any
Dreyfus-managed  fund. Dreyfus portfolio managers and other investment personnel
who  comply  with  the  Policy's  preclearance and disclosure procedures may be
permitted  to  purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.



Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.


16

<PAGE 16>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
(except  General Treasury Prime Money Market Fund) for the periods indicated. As
a  new  fund,  financial  highlights  information  is  not available for General
Treasury  Prime  Money  Market  Fund  as  of the date of this prospectus. "Total
return"  shows  how  much  your  investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  independently  audited (except where
noted)  by  Ernst  & Young  LLP,  whose  report, along with the fund's financial
statements, is included in the annual report.

<TABLE>


                                                         (UNAUDITED)
                                                      SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                            MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                                  1999            1998         1997(1)         1997          1996(2)
- -----------------------------------------------------------------------------------------------------------------------------
<S>                                                         <C>             <C>           <C>            <C>            <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                        1.00           1.00          1.00           1.00           1.00

 Investment operations:  Investment income -- net            .021           .047          .039           .046           .043

 Distributions:          Dividends from investment
                                   income -- net            (.021)         (.047)        (.039)         (.046)         (.043)

 Net asset value, end of period                              1.00           1.00          1.00           1.00           1.00

 Total return (%)                                            4.17(3)        4.78          4.83(3)        4.65           5.18(3)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                 1.00           1.00          1.00(3)        1.00           1.00(3)

 Ratio of net investment income to average net assets (%)    4.14(3)        4.66          4.78(3)        4.56           5.00(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .04(3)         .06           .05(3)         .07            .07(3)
- --------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                  2,679,456       2,427,332    1,231,132        369,205         50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                           (UNAUDITED)
                                                        SIX MONTHS ENDED   YEAR ENDED    TEN MONTHS ENDED
                                                             MAY 31,       NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND              1999          1998           1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                         1.00           1.00            1.00          1.00          1.00

Investment operations:  Investment income -- net              .020           .046            .038          .045          .042
Distributions:          Dividends from investment
                          income -- net                      (.020)         (.046)          (.038)        (.045)        (.042)

 Net asset value, end of period                               1.00           1.00            1.00          1.00          1.00

 Total return (%)                                             4.05(3)        4.66            4.69(3)       4.58          5.01(3)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                  1.00(3)         .97            1.00(3)       1.00          1.00(3)

 Ratio of net investment income to average net assets (%)     4.01(3)        4.55            4.60(3)       4.48          5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                 .03(3)         .05             .05(3)        .08           .10(3)
- --------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                     650,987         645,984        364,845        90,175            58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.


                                                                                                 Financial Highlights  17



<PAGE 17>



FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                  (UNAUDITED)
                                                                SIX MONTHS ENDED
                                                                     MAY 31,                   YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                                 1999              1998         1997        1996      1995(1)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                                1.00              1.00        1.00         1.00      1.00

 Investment operations:  Investment income -- net                    .011              .026        .028         .027      .020

 Distributions:          Dividends from investment income -- net    (.011)            (.026)      (.028)       (.027)    (.020)

 Net asset value, end of period                                      1.00              1.00        1.00         1.00      1.00

 Total return (%)                                                    2.23(2)           2.64        2.86         2.70      3.01(2)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                          .98(2)            .96         .95          .85      1.10(2)

 Ratio of net investment income to average net assets (%)            2.22(2)           2.59        2.87         2.65      2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                        .07(2)            .09         .16          .29       .09(2)
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                            401,156           377,636     263,008       17,491     3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.

                                                                (UNAUDITED)
                                                             SIX MONTHS ENDED   YEAR ENDED    FOUR MONTHS ENDED
                                                                MAY 31,        NOVEMBER 30,    NOVEMBER 30,   YEAR ENDED JULY 31,
      GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND              1999             1998          1997(1)      1997   1996(2)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                              1.00            1.00           1.00        1.00     1.00

 Investment operations:  Investment income -- net                  .002            .024           .009        .026     .025

 Distributions:          Dividends from investment
                                     income -- net                (.002)          (.024)         (.009)      (.026)   (.025)

 Net asset value, end of period                                    1.00            1.00           1.00        1.00     1.00

 Total return (%)                                                  2.01(3)         2.39           2.57(3)     2.61     2.56
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                       1.00(3)         1.00          1.00(3)      1.00     1.00

 Ratio of net investment income to average net assets (%)          2.03(3)         2.34          2.62(3)      2.52     2.45

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                      .26(3)          .07           .13(3)       .07      .08
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                           47,012           8,760         2,669          928    5,475

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.
(2)  FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.
(3)  ANNUALIZED.
</TABLE>

18

<PAGE 18>

<TABLE>


                                                                           (UNAUDITED)
                                                                         SIX MONTHS ENDED
                                                                             MAY 31,                PERIOD ENDED NOVEMBER  30,
GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                  1999                        1998(1)
- -----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                             <C>                         <C>

PER-SHARE DATA ($)

Net asset value, beginning of period                                            1.00                        1.00

 Investment operations:  Investment income -- net                               .012                        .013

 Distributions:          Dividends from investment income -- net               (.012)                      (.013)

 Net asset value, end of period                                                 1.00                        1.00

 Total return (%)                                                               2.43                        2.67(2)
- -----------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                      .80                         .80(2)

Ratio of net investment income to average net assets (%)                        2.39                        2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                    .50                         .87(2)
- -----------------------------------------------------------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                         31,251                      28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.
(2)  ANNUALIZED.
</TABLE>

<TABLE>


                                                                   (UNAUDITED)
                                                                  SIX MONTHS ENDED
                                                                     MAY 31,                   YEAR ENDED NOVEMBER 30,
 GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND                        1999             1998       1997      1996      1995(1)
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                                                  <C>              <C>        <C>        <C>    <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                                1.00             1.00       1.00       1.00     1.00

 Investment operations:  Investment income -- net                    .010             .024       .027       .025     .006

 Distributions:          Dividends from investment income -- net    (.010)           (.024)     (.027)     (.025)   (.006)

 Net asset value, end of period                                      1.00             1.00       1.00       1.00     1.00

 Total return (%)                                                    2.01(2)          2.47       2.68       2.55     2.82(2)
- ------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                          .98(2)          .98         .95        .95    1.04(2)

 Ratio of net investment income to average net assets (%)            2.00(2)         2.44        2.64       2.47    3.64(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                        .09(2)          .08         .08        .16      --
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                             43,146          46,997      42,169     36,199      --

(1)  FROM SEPTEMBER 8, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.

                                                                                                           Financial Highlights  19
</TABLE>

<PAGE 19>


                                                                Your Investment

ACCOUNT POLICIES

Buying shares


GENERAL  FUNDS  are  designed  primarily  for people who are investing through a
third  party  such  as a bank, broker-dealer or financial adviser. Third parties
with  whom  you  open  a  fund account may impose policies, limitations and fees
which  are different than those described here. To purchase fund shares, contact
your financial representative.


APPLICABLE TO GENERAL MONEY MARKET FUND, GENERAL GOVERNMENT SECURITIES MONEY
MARKET FUND AND GENERAL TREASURY PRIME MONEY MARKET FUND ONLY:

YOUR  PRICE  FOR  FUND  SHARES  is  the  fund's net asset value (NAV), which is
generally  calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York  Stock  Exchange  or  the fund's transfer agent is open. Your order will be
priced  at  the  next  NAV calculated after your order is accepted by the fund's
transfer  agent  or  other authorized entity. Each fund's investments are valued
based on amortized cost.

IF  YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you  will  receive the dividend declared that day. If your payments are received
in  or  converted  into Federal Funds after 12:00 noon, you will begin to accrue
dividends  on  the  following business day. Qualified institutions may telephone
orders  to  buy  shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5: 00  p.m. and will receive the dividend declared that day. If such an order is
made  after  5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, GENERAL MUNICIPAL
MONEY MARKET FUND, GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND AND GENERAL NEW
YORK MUNICIPAL MONEY MARKET FUND ONLY:

YOUR  PRICE  FOR  FUND  SHARES  is  the  fund' s net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal  Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8: 00  p.m.,  for each other municipal money market fund, every day the New York
Stock  Exchange  or the fund's transfer agent is open. Your order will be priced
at  the  next NAV calculated after your order is accepted by the fund's transfer
agent  or  other  authorized entity. Each fund's investments are valued based on
amortized cost.

IF  YOUR  PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for  the  Minnesota  Municipal  Money Market Fund or by 4:00 p.m. for each other
municipal money market fund, you will receive the dividend declared that day. If
your  payments  are received in or converted into Federal Funds after 12:00 noon
for  the Minnesota Municipal Money Market Fund or after 4:00 p.m. for each other
municipal money market fund, you will begin to accrue dividends on the following
business day. Qualified institutions may telephone orders to buy shares. If such
an  order is made by 12:00 noon for the Minnesota Municipal Money Market Fund or
by  2: 00 p.m. for each other municipal money market fund, and Federal Funds are
received  by 4:00 p.m., the shares will be purchased at the NAV determined after
the telephone order is accepted and will receive the dividend

20

<PAGE 20>

declared  that  day. If such an order is made after 12:00 noon for the Minnesota
Municipal  Money  Market  Fund or after 2:00 p.m. for any of the other municipal
money  market  funds,  but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

BECAUSE  THE  MUNICIPAL  MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.


Selling shares

YOU  MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or  you  can contact the fund directly. Your shares will be sold at the next NAV
calculated  after  your  order is accepted by the fund's transfer agent or other
authorized  entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE SELLING for recently purchased shares,  please note that if the fund
has not yet  collected  payment  for the  shares you are  selling,  it may delay
sending the proceeds  for up to eight  business  days or until it has  collected
payment.






Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.



General policies


UNLESS YOU DECLINE  TELEPHONE  PRIVILEGES,  you may be responsible  for any
fraudulent  telephone  order as long as Dreyfus  takes  reasonable  measures  to
verify that the order is from a representative of your financial institution.


EACH FUND RESERVES THE RIGHT TO:

*    refuse any  purchase or exchange  request that could  adversely  affect the
     fund or its  operations,  including those from any individual or group who,
     in the fund' s view,  is likely to  engage in  excessive  trading  (usually
     defined as more than four exchanges out of the fund within a calendar year)

*    refuse any purchase or exchange request in excess of 1% of the fund's total
     assets

*    change or discontinue its exchange  privilege,  or temporarily suspend this
     privilege during unusual market conditions

*    change its minimum investment amounts

*    delay  sending  out  redemption  proceeds  for up to seven days  (generally
     applies  only in cases of very  large  redemptions,  excessive  trading  or
     during unusual market conditions)

Each  fund  also reserves the right to make a "redemption in kind" -- payment in
portfolio  securities  rather  than  cash  -- if the amount you are redeeming is
large  enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).




                                                           Your Investment  21

<PAGE 21>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once  a  month,  and  distributes any net realized securities gains once a year.
Your  dividends  and  distributions  will  be  reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS  AND  DISTRIBUTIONS PAID by the taxable money market funds are taxable
to  U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH   MUNICIPAL  MONEY  MARKET  FUND  anticipates  that,  under  normal  market
conditions,  virtually  all  of its income dividends will be exempt from federal
and,  as  to California Municipal Money Market Fund, California, as to Minnesota
Municipal  Money  Market  Fund,  Minnesota,  and  as to New York Municipal Money
Market  Fund,  New York state and New York city, personal income taxes. However,
any dividends and distributions from taxable investments are taxable as ordinary
income.



Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.

The  tax  status of any distribution is the same regardless of how long you have
been  in  the  fund  and whether you reinvest your distributions or take them in
cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.




Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.




22


<PAGE 22>

NOTES




NOTES




NOTES




                                                           For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Treasury Prime
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General California Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-4871

General Minnesota Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General New York Municipal
Money Market Fund
- -----------------------------------
SEC file number:  811-4870



More  information  on  each  fund  is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with  the  Securities  and  Exchange  Commission  (SEC)  and  is incorporated by
reference (is legally considered part of this prospectus).



To obtain information:


BY TELEPHONE
Call your Stifel, Nicolaus & Company Investment Executive or
1-800-679-5446

BY MAIL  Write to:
Stifel, Nicolaus & Company, Incorporated
501 North Broadway
St. Louis, MO 63102
http://www.stifel.com


ON THE INTERNET  Text-only versions of fund documents can
be viewed online or downloaded from:
http://www.sec.gov

You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.


(c) 1999 Dreyfus Service Corporation
    GEN-P1299B-SN

- --------------------------------------------------------------------------------
General Money Market Funds

General Money Market Fund

General Government Securities Money Market Fund



General Municipal Money Market Fund

General California Municipal Money Market Fund

General Minnesota Municipal Money Market Fund

General New York Municipal Money Market Fund

Investing in high quality, short-term securities for current income, safety of
principal and liquidity

PROSPECTUS December 1, 1999

CLASS B SHARES


[GEORGE K. BAUM & COMPANY
SERVICE AGENT LOGO]



THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF GEORGE K. BAUM & COMPANY.



As  with  all  mutual  funds,  the  Securities  and  Exchange Commission has not
approved  or  disapproved  these  securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.



The Funds

Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4


General Municipal
Money Market Fund                                                         6

General California Municipal
Money Market Fund                                                         8

General Minnesota Municipal
Money Market Fund                                                        10

General New York Municipal
Money Market Fund                                                        12

Management                                                               14

Financial Highlights                                                     15

Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         18

Distributions and Taxes                                                  20



For More Information
- --------------------------------------------------------------------------------

MORE   INFORMATION   ON   EACH   FUND  CAN  BE  FOUND  IN  THE  Fund's  CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.



Introduction


Each  fund  is  a money market mutual fund with a separate investment portfolio.
The  operations and results of a fund are unrelated to those of each other fund.
This  combined prospectus has been prepared for your convenience so that you can
consider six investment choices in one document.


As  a  money  market  fund,  each  fund  is  subject  to  maturity,  quality and
diversification requirements designed to help it maintain a stable share price.

Generally,  each  fund  is  required to invest at least 95% of its assets in the
securities  of  issuers with the highest credit rating or the unrated equivalent
as  determined  by  Dreyfus,  with the remainder invested in securities with the
second-highest credit rating.

An  investment  in  a  fund  is not insured or guaranteed by the Federal Deposit
Insurance  Corporation  or any other government agency. Although each fund seeks
to  preserve  the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.



Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*    maintain an average dollar-weighted portfolio maturity of 90 days or less

*    buy individual  securities  that have remaining  maturities of 13 months or
     less

*    invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less

                                                                    The Funds  1

<PAGE 1>


                                                      General Money Market Fund
                                                     -----------------------
                                                           Ticker Symbol: GMBXX

GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation  of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*    securities issued or guaranteed by the U.S. government or its agencies

*    certificates  of deposit,  time deposits,  bankers'  acceptances  and other
     short-term  securities  issued  by  domestic  or  foreign  banks  or  their
     subsidiaries or branches

*    repurchase agreements

*    asset-backed securities

*    domestic  and  dollar-denominated   foreign  commercial  paper,  and  other
     short-term corporate obligations, including those with floating or variable
     rates of interest

*    dollar-denominated  obligations issued or guaranteed by one or more foreign
     governments or any of their political subdivisions or agencies

Normally,  the  fund  invests  at  least  25%  of  its net assets in domestic or
dollar-denominated foreign bank obligations.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    the  risks  generally  associated  with  concentrating  investments  in the
     banking  industry,  such as interest rate risk,  credit risk and regulatory
     developments relating to the banking industry

*    the risks generally associated with dollar-denominated foreign investments,
     such as economic and political developments,  seizure or nationalization of
     deposits,  imposition  of taxes or other  restrictions  on the  payment  of
     principal and interest


2


<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  Fund's performance from year to year. The second table
averages  the  Fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.68    4.84    4.73
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                              Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                     4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                 <C>                                   <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                                  General Money Market Fund  3





<PAGE 3>

                                                  General Government Securities
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GSBXX


GOAL/APPROACH

The  fund  seeks  as  high  a  level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To  pursue this goal, the fund invests in securities issued or guaranteed by the
U.S.  government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A  security  backed  by  the  U.S.  Treasury or the full faith and credit of the
United  States  is  guaranteed  only  as  to  the timely payment of interest and
principal  when  held to maturity. The current market prices for such securities
are  not  guaranteed  and  will  fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


4


<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the Fund's performance from year to year. The second table
averages the Fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.60    4.69    4.61
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.18%

WORST QUARTER:                   Q4 '98                          +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                  Since
                                                                 inception
         1 Year                                                  (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                     4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.





What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$104                                 $325                                 $563                                 $1,248
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                            General Government Securities Money Market Fund  5








<PAGE 5>


                                            General Municipal Money Market Fund
                                                     -----------------------
                                                           Ticker Symbol: GBMXX

GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal personal income
tax,  as  is  consistent with the preservation of capital and the maintenance of
liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the interest from which is exempt from federal personal
income  tax.  The  fund  also  may invest in high quality, short-term structured
notes,  which  are  derivative  instruments  whose  value  is tied to underlying
municipal  obligations.  Structured  notes  typically are purchased in privately
negotiated  transactions from financial institutions. When the portfolio manager
believes  that  acceptable municipal obligations are unavailable for investment,
the   fund  may  invest  temporarily  in  high  quality,  taxable  money  market
instruments. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's objective is to generate income exempt from federal income
tax,  interest  from  some  of  its  holdings  may  be  subject  to  the federal
alternative  minimum  tax.  In  addition,  the  fund  occasionally may invest in
taxable money market instruments.





<PAGE 6>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.66    2.86     2.60
1989    1990    1991    1992    1993    1994    1995    1996    1997     1998


BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                   Since
                                                                 inception
         1 Year                                                   (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                     2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$107                                 $334                                 $579                                 $1,283
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.




Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                                        General Municipal Money Market Fund  7






<PAGE 7>

                                                   General California Municipal
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GENXX

GOAL/APPROACH

The  fund  seeks  to  maximize current income exempt from federal and California
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
California  state  personal  income  taxes.  The  fund  also  may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When  the  portfolio  manager  believes  that  acceptable  California  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to California state income tax, but are free from federal
income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    California's economy and revenues underlying its municipal obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  fund's  objective  is to generate income exempt from federal and
California state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.


8


<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  fund's performance from year to year. The second table
averages  the  fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.48    2.62    2.34
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.71%

WORST QUARTER:                   Q3 '98                          +0.53%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.48%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                    Since
                                                                  inception
         1 Year                                                   (8/1/95)
- --------------------------------------------------------------------------------

         2.34%                                                     2.52%

The fund's 7-day yield on 12/31/98 was 2.59%. For the fund's current yield, call
toll-free 1-800-645-6561.




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.12%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.07%
- --------------------------------------------------------------------------------
<TABLE>

Expense example


1 Year                               3 Years                              5 Years                              10 Years
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$109                                 $340                                 $590                                 $1,306
</TABLE>



This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.07% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                             General California Municipal Money Market Fund  9








<PAGE 9>

                                  General Minnesota Municipal Money Market Fund
                                                     -----------------------

                                                           Ticker Symbol: GMNXX

GOAL/APPROACH

The  fund  seeks  to  maximize  current income exempt from federal and Minnesota
state  personal  income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations,  the  interest  from  which  is  exempt from federal and
Minnesota  state personal income taxes. When the portfolio manager believes that
acceptable  Minnesota  municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls




MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    Minnesota's economy and revenues underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Although  the  Fund's  objective  is to generate income exempt from federal and
Minnesota  state income taxes, interest from some of its holdings may be subject
to  the  federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.





<PAGE 10>

PAST PERFORMANCE

Since  the fund has less than one calendar year of performance, past performance
information  is  not  included. For performance information as of the end of the
Fund's  first  fiscal  period,  please  refer  to  the  Statement of Additional
Information (SAI).



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------

$170                  $526

This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%. This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                             General Minnesota Municipal Money Market Fund  11






<PAGE 11>

                                                     General New York Municipal
                                                              Money Market Fund
                                                         ----------------------
                                                           Ticker Symbol: GNYXX

GOAL/APPROACH

The  fund  seeks  to maximize current income exempt from federal, New York state
and  New York city personal income taxes, as is consistent with the preservation
of capital and the maintenance of liquidity.

To  pursue  this goal, the fund normally invests substantially all net assets in
municipal  obligations, the interest from which is exempt from federal, New York
state  and New York city personal income taxes. The fund also may invest in high
quality,  short-term  structured  notes,  which are derivative instruments whose
value  is  tied  to underlying municipal obligations. Structured notes typically
are  purchased in privately negotiated transactions from financial institutions.
When   the  portfolio  manager  believes  that  acceptable  New  York  municipal
obligations  are  unavailable  for investment, the fund may invest in securities
that  may  be  subject to New York state and New York city income taxes, but are
free from federal income tax. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The  fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While  the  fund has maintained a constant share price since inception, and will
continue  to  try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    New York' s economy and revenues  underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility  of  default  by  the  financial  institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although  the  Fund's  objective is to generate income exempt from federal, New
York  state  and  New York city income taxes, interest from some of its holdings
may  be  subject  to  the federal alternative minimum tax. In addition, the fund
occasionally  may invest in taxable bonds and/or municipal bonds that are exempt
only from federal personal income tax.

The  fund  is  non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance  may  be  more vulnerable to changes in the market value of a single
issuer or a group of issuers.





<PAGE 12>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows  changes  in  the  Fund's performance from year to year. The second table
averages  the  Fund's performance over time. Both tables assume reinvestment of
dividends  and  distributions.  Of  course,  past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        2.51    2.70    2.42
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.70%

WORST QUARTER:                   Q4 '98                          +0.55%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.52%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                  Since
                                                                inception
         1 Year                                                  (9/8/95)
- --------------------------------------------------------------------------------

         2.42%                                                     2.57%

The fund's 7-day yield on 12/31/98 was 2.61%. For the fund's current yield, call
toll-free 1-800-645-6561.




What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As  an  investor, you pay certain fees and expenses in connection with the fund,
which  are  described  for  Class  B  in  the table below. Annual fund operating
expenses  are  paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ---------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>


This  example  shows  what you could pay in expenses over time. It uses the same
hypothetical  conditions  other funds use in their prospectuses: $10,000 initial
investment,  5%  total  return each year and no changes in expenses. The figures
shown  would  be the same whether you sold your shares at the end of a period or
kept  them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 0.98%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                               General New York Municipal Money Market Fund  13








<PAGE 13>

MANAGEMENT

The  investment  adviser  for  each  fund  is  The Dreyfus Corporation, 200 Park
Avenue,  New  York,  New  York 10166. Founded in 1947, Dreyfus manages more than
$118  billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus  a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of  Mellon  Financial  Corporation,  a  global  financial  services company with
approximately  $2.5  trillion  in  assets  under  management,  administration or
custody,  including approximately $450 billion under management. Mellon provides
wealth  management,  global  investment  services  and  a comprehensive array of
banking  services  for  individuals,  businesses  and  institutions.  Mellon  is
headquartered in Pittsburgh, Pennsylvania.

The  Dreyfus  asset management philosophy is based on the belief that discipline
and  consistency  are  important  to  investment success. For each fund, Dreyfus
seeks  to  establish  clear  guidelines  for  portfolio  management  and  to  be
systematic  in  making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus  has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure  that  personal  trading  by  Dreyfus employees does not disadvantage any
Dreyfus-managed  fund. Dreyfus portfolio managers and other investment personnel
who  comply  with  the  Policy's  preclearance and disclosure procedures may be
permitted  to  purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.



Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.


14

<PAGE 14>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
for  the periods indicated. "Total return" shows how much your investment in the
fund  would  have  increased (or decreased) during each period, assuming you had
reinvested   all   dividends   and   distributions.   These  figures  have  been
independently  audited  (except where noted) by Ernst & Young LLP, whose report,
along with the fund's financial statements, is included in the annual report.


<TABLE>

                                                      (UNAUDITED)
                                                    SIX MONTHS ENDED     YEAR ENDED   TEN MONTHS ENDED
                                                        MAY 31,         NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                               1999            1998         1997(1)         1997          1996(2)
- -------------------------------------------------------------------------------------------------------------------------------
<S>                                                      <C>             <C>           <C>           <C>             <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                    1.00            1.00          1.00          1.00           1.00

 Investment operations:  Investment income -- net        .021            .047          .039          .046           .043

 Distributions:          Dividends from investment
                          income -- net                 (.021)          (.047)        (.039)        (.046)         (.043)

 Net asset value, end of period                          1.00            1.00          1.00          1.00           1.00

 Total return (%)                                        4.17(3)         4.78          4.83(3)       4.65           5.18(3)
- --------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)             1.00            1.00          1.00(3)       1.00           1.00(3)

 Ratio of net investment income to average
    net assets (%)                                       4.14(3)         4.66          4.78(3)       4.56           5.00(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                            .04(3)          .06           .05(3)        .07            .07(3)
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)              2,679,456       2,427,332     1,231,132       369,205         50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                         (UNAUDITED)
                                                       SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                            MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND            1999            1998         1997(1)         1997          1996(2)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                        1.00            1.00          1.00           1.00           1.00

 Investment operations:  Investment income -- net            .020            .046          .038           .045           .042

 Distributions:          Dividends from investment
                         income -- net                      (.020)          (.046)        (.038)         (.045)         (.042)

 Net asset value, end of period                              1.00            1.00          1.00           1.00           1.00

 Total return (%)                                            4.05(3)         4.66          4.69(3)        4.58           5.01(3)
- --------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                 1.00(3)          .97          1.00(3)        1.00           1.00(3)

 Ratio of net investment income to average net assets (%)    4.01(3)         4.55          4.60(3)        4.48           5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .03(3)          .05           .05(3)         .08            .10(3)
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                    650,987         645,984       364,845         90,175             58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.


                                                                                                   Financial Highlights  15



<PAGE 15>

FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                 (UNAUDITED)
                                                               SIX MONTHS ENDED
                                                                    MAY 31,                       YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                                 1999              1998         1997        1996      1995(1)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                                 1.00              1.00        1.00       1.00       1.00

 Investment operations:  Investment income -- net                     .011              .026        .028       .027       .020

 Distributions:          Dividends from investment income -- net     (.011)            (.026)      (.028)     (.027)     (.020)

 Net asset value, end of period                                       1.00              1.00        1.00       1.00       1.00

 Total return (%)                                                     2.23(2)           2.64        2.86       2.70       3.01(2)
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                          .98(2)             .96         .95        .85       1.10(2)

 Ratio of net investment income to average net assets (%)            2.22(2)            2.59        2.87       2.65       2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                        .07(2)             .09         .16        .29        .09(2)
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                            401,156            377,636     263,008     17,491      3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.

                                                            (UNAUDITED)
                                                          SIX MONTHS ENDED    YEAR ENDED    FOUR MONTHS ENDED
                                                                MAY 31,       NOVEMBER 30,     NOVEMBER 30,   YEAR ENDED JULY 31,
 GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND                 1999            1998           1997(1)      1997         1996(2)
- --------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                            1.00            1.00            1.00         1.00        1.00

 Investment operations:  Investment income -- net                .002            .024            .009         .026        .025

 Distributions:          Dividends from investment
                         income -- net                          (.002)          (.024)          (.009)       (.026)      (.025)

 Net asset value, end of period                                  1.00            1.00            1.00         1.00        1.00

 Total return (%)                                                2.01(3)         2.39            2.57(3)      2.61        2.56
- ---------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                     1.00(3)         1.00            1.00(3)      1.00        1.00

 Ratio of net investment income to average net assets (%)        2.03(3)         2.34            2.62(3)      2.52        2.45

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                    .26(3)          .07             .13(3)       .07         .08
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                             47,012  8,760     2,669            928       5,475

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.
(2)  FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.
(3)  ANNUALIZED.

</TABLE>

16

<PAGE 16>

<TABLE>


                                                                           (UNAUDITED)
                                                                        SIX MONTHS ENDED
                                                                            MAY 31,           PERIOD ENDED NOVEMBER 30,
GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                1999                         1998(1)
- -----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                          <C>                           <C>

PER-SHARE DATA ($)

Net asset value, beginning of period             1.00  1.00

 Investment operations:  Investment income -- net                            .012                          .013

 Distributions:          Dividends from investment income -- net            (.012)                        (.013)

 Net asset value, end of period                                              1.00                          1.00

 Total return (%)                                                            2.43                          2.67(2)
- --------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                   .80                           .80(2)

Ratio of net investment income to average net assets (%)                     2.39                          2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                 .50                           .87(2)
- --------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                      31,251                        28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.
(2)  ANNUALIZED.
</TABLE>

<TABLE>



                                                                     (UNAUDITED)
                                                                  SIX MONTHS ENDED
                                                                       MAY 31,                  YEAR ENDED NOVEMBER 30,
  GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND                           1999             1998       1997      1996      1995(1)
- --------------------------------------------------------------------------------------------------------------------------------
<S>                                                                    <C>               <C>        <C>        <C>       <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                                  1.00              1.00       1.00       1.00     1.00

 Investment operations:  Investment income -- net                      .010              .024       .027       .025     .006

 Distributions:          Dividends from investment income -- net      (.010)            (.024)     (.027)     (.025)   (.006)

 Net asset value, end of period                                        1.00              1.00       1.00       1.00     1.00

 Total return (%)                                                      2.01(2)           2.47       2.68       2.55     2.82(2)
- --------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                            .98(2)            .98        .95        .95     1.04(2)

 Ratio of net investment income to average net assets (%)              2.00(2)           2.44       2.64       2.47     3.64(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                          .09(2)            .08        .08        .16        --
- ---------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                               43,146            46,997     42,169     36,199        --

(1)  FROM SEPTEMBER 8, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.


                                                                                                       Financial Highlights 17
</TABLE>

<PAGE 17>


                                                                Your Investment

ACCOUNT POLICIES

Buying shares


GENERAL  FUNDS  are  designed  primarily  for people who are investing through a
third  party  such  as a bank, broker-dealer or financial adviser. Third parties
with  whom  you  open  a  fund account may impose policies, limitations and fees
which  are different than those described here. To purchase fund shares, contact
your financial representative.

APPLICABLE TO GENERAL MONEY MARKET FUND AND GENERAL GOVERNMENT SECURITIES MONEY
MARKET FUND ONLY:


YOUR  PRICE  FOR  FUND  SHARES  is  the  Fund's net asset value (NAV), which is
generally  calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York  Stock  Exchange  or  the fund's transfer agent is open. Your order will be
priced  at  the  next  NAV calculated after your order is accepted by the fund's
transfer  agent  or  other authorized entity. Each fund's investments are valued
based    on    amortized    cost.

IF  YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you  will  receive the dividend declared that day. If your payments are received
in  or  converted  into Federal Funds after 12:00 noon, you will begin to accrue
dividends  on  the  following business day. Qualified institutions may telephone
orders  to  buy  shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5: 00  p.m. and will receive the dividend declared that day. If such an order is
made  after  5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, GENERAL MUNICIPAL
MONEY MARKET FUND, GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND AND GENERAL NEW
YORK MUNICIPAL MONEY MARKET FUND ONLY:

YOUR  PRICE  FOR  FUND  SHARES  is  the  Fund's net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal  Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8: 00  p.m.,  for each other municipal money market fund, every day the New York
Stock  Exchange  or the fund's transfer agent is open. Your order will be priced
at  the  next NAV calculated after your order is accepted by the fund's transfer
agent  or  other  authorized entity. Each fund's investments are valued based on
amortized    cost.

IF  YOUR  PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for  the  Minnesota  Municipal  Money Market Fund or by 4:00 p.m. for each other
municipal money market fund, you will receive the dividend declared that day. If
your  payments  are received in or converted into Federal Funds after 12:00 noon
for  the Minnesota Municipal Money Market Fund or after 4:00 p.m. for each other
municipal money market fund, you will begin to accrue dividends on the following
business day. Qualified institutions may telephone orders to buy shares. If such
an  order is made by 12:00 noon for the Minnesota Municipal Money Market Fund or
by  2: 00 p.m. for each other municipal money market fund, and Federal Funds are
received  by 4:00 p.m., the shares will be purchased at the NAV determined after
the    telephone   order   is   accepted   and   will   receive   the   dividend


18

<PAGE 18>

declared  that  day. If such an order is made after 12:00 noon for the Minnesota
Municipal  Money  Market  Fund or after 2:00 p.m. for any of the other municipal
money  market  funds,  but by 8:00 p.m., and Federal Funds are received by 11:00
a.m.  the  next business day, the shares will be purchased at the NAV determined
at  8: 00  p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

BECAUSE  THE  MUNICIPAL  MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.




Selling shares

YOU  MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or  you  can contact the fund directly. Your shares will be sold at the next NAV
calculated  after  your  order is accepted by the fund's transfer agent or other
authorized  entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE  SELLING  RECENTLY PURCHASED SHARES, please note that if the fund has not
yet  collected  payment for the shares you are selling, it may delay sending the
proceeds for up to eight business days or until it has collected payment.





Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.



General policies


UNLESS  YOU  DECLINE  TELEPHONE  PRIVILEGES,  you  may  be  responsible  for any
fraudulent  telephone  order  as  long  as  Dreyfus takes reasonable measures to
verify  that  the  order is from a representative of your financial institution


EACH FUND RESERVES THE RIGHT TO:

*    refuse any  purchase or exchange  request that could  adversely  affect the
     fund or its  operations,  including those from any individual or group who,
     in the  Fund's  view,  is likely to engage in  excessive  trading  (usually
     defined as more than four exchanges out of the fund within a calendar year)

*    refuse any purchase or exchange request in excess of 1% of the fund's total
     assets

*    change or discontinue its exchange  privilege,  or temporarily suspend this
     privilege during unusual market conditions

*    change its minimum investment amounts

*    delay  sending  out  redemption  proceeds  for up to seven days  (generally
     applies  only in cases of very  large  redemptions,  excessive  trading  or
     during unusual market conditions)

Each  fund  also reserves the right to make a "redemption in kind" -- payment in
portfolio  securities  rather  than  cash  -- if the amount you are redeeming is
large  enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).


                                                  Your Investment        19

<PAGE 19>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once  a  month,  and  distributes any net realized securities gains once a year.
Your  dividends  and  distributions  will  be  reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS  AND  DISTRIBUTIONS PAID by the taxable money market funds are taxable
to  U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH   MUNICIPAL  MONEY  MARKET  FUND  anticipates  that,  under  normal  market
conditions,  virtually  all  of its income dividends will be exempt from federal
and,  as  to California Municipal Money Market Fund, California, as to Minnesota
Municipal  Money  Market  Fund,  Minnesota,  and  as to New York Municipal Money
Market  Fund,  New York state and New York city, personal income taxes. However,
any dividends and distributions from taxable investments are taxable as ordinary
income.


Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.

The  tax  status of any distribution is the same regardless of how long you have
been  in  the  fund  and whether you reinvest your distributions or take them in
cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.


Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.




20

<PAGE 20>

NOTES






                                                           For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General California Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-4871

General Minnesota Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General New York Municipal
Money Market Fund
- -----------------------------------
SEC file number:  811-4870


More  information  on  each  fund  is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with  the  Securities  and  Exchange  Commission  (SEC)  and  is incorporated by
reference (is legally considered part of this prospectus).



To obtain information:


BY TELEPHONE Call your George K. Baum & Company Investment Executive or
1-800-821-7195

BY MAIL  Write to:
George K. Baum & Company
120 West 12th Street, Suite 800
Kansas City, MO 64105


ON THE INTERNET  Text-only versions of fund documents can
be viewed online or downloaded from:
http://www.sec.gov

You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.



(c) 1999 Dreyfus Service Corporation
GEN-P1299B-GKB

- --------------------------------------------------------------------------------

General Money Market Funds

General Money Market Fund

General Government Securities
Money Market Fund

General Treasury Prime
Money Market Fund

General Municipal Money Market Fund


General Minnesota Municipal
Money Market Fund


Investing in high quality, short-term securities for current income, safety of
principal and liquidity

PROSPECTUS December 1, 1999

CLASS B SHARES


[John G. Kinnard & Co. logo]



THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF JOHN G. KINNARD & CO.


As with all mutual funds, the Securities and Exchange Commission has not
approved or disapproved these securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.





The Funds



Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4

General Treasury Prime
Money Market Fund                                                         6

General Municipal
Money Market Fund                                                         8



General Minnesota Municipal
Money Market Fund                                                        10

Management                                                               12

Financial Highlights                                                     13


Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         15

Distributions and Taxes                                                  17


For More Information
- --------------------------------------------------------------------------------

MORE INFORMATION ON EACH FUND CAN BE FOUND IN THE FUND'S CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.



Introduction


Each fund is a money market mutual fund with a separate investment portfolio.
The operations and results of a fund are unrelated to those of each other fund.
This combined prospectus has been prepared for your convenience so that you can
consider five investment choices in one document.


As a money market fund, each fund is subject to maturity, quality and
diversification requirements designed to help it maintain a stable share price.

Generally, each fund is required to invest at least 95% of its assets in the
securities of issuers with the highest credit rating or the unrated equivalent
as determined by Dreyfus, with the remainder invested in securities with the
second-highest credit rating.

An investment in a fund is not insured or guaranteed by the Federal Deposit
Insurance Corporation or any other government agency. Although each fund seeks
to preserve the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.

Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*    maintain an average dollar-weighted portfolio maturity of 90 days or less

*    buy individual  securities  that have remaining  maturities of 13 months or
     less

*    invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less

                                                                 The Funds   1

<PAGE 1>


                                                      General Money Market Fund
                                                      -----------------------
                                                      Ticker Symbol: GMBXX


GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*    securities issued or guaranteed by the U.S. government or its agencies

*    certificates  of deposit,  time deposits,  bankers'  acceptances  and other
     short-term  securities  issued  by  domestic  or  foreign  banks  or  their
     subsidiaries or branches

*    repurchase agreements

*    asset-backed securities

*    domestic  and  dollar-denominated   foreign  commercial  paper,  and  other
     short-term corporate obligations, including those with floating or variable
     rates of interest

*    dollar-denominated  obligations issued or guaranteed by one or more foreign
     governments or any of their political subdivisions or agencies

Normally, the fund invests at least 25% of its net assets in domestic or
dollar-denominated foreign bank obligations.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    the  risks  generally  associated  with  concentrating  investments  in the
     banking  industry,  such as interest rate risk,  credit risk and regulatory
     developments relating to the banking industry

*    the risks generally associated with dollar-denominated foreign investments,
     such as economic and political developments,  seizure or nationalization of
     deposits,  imposition  of taxes or other  restrictions  on the  payment  of
     principal and interest





<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)


                                                        4.68    4.84    4.73
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                  4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.



What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                   <C>                                  <C>                                  <C>

$108                                 $337                                 $585                                 $1,294
</TABLE>

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                                  General Money Market Fund  3








<PAGE 3>

                                                   General Government Securities
                                                   Money Market Fund
                                                   ----------------------
                                                   Ticker Symbol: GSBXX



GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund invests in securities issued or guaranteed by the
U.S. government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


4


<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)



                                                        4.60    4.69    4.61
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q4 '97                          +1.18%

WORST QUARTER:                   Q4 '98                          +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                  4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                 <C>                                   <C>                                  <C>

$104                                 $325                                 $563                                 $1,248
</TABLE>


This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                              General Government Securities Money Market Fund 5








<PAGE 5>

                                                          General Treasury Prime
                                                          Money Market Fund
                                                          ------------------
                                                          Ticker Symbol: N/A



GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund only invests in securities issued or guaranteed as
to principal and interest by the U.S. government.



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.


6


<PAGE 6>

PAST PERFORMANCE

As a new fund, past performance information is not available for the fund as of
the date of this prospectus.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year                 3 Years
- --------------------------------------------------------------------------------

$107                    $334

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.


Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                   General Treasury Prime Money Market Fund  7






<PAGE 7>

                                             General Municipal Money Market Fund
                                             -----------------------------------
                                             Ticker Symbol: GBMXX


GOAL/APPROACH

The fund seeks to maximize current income exempt from federal personal income
tax, as is consistent with the preservation of capital and the maintenance of
liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal personal
income tax. The fund also may invest in high quality, short-term structured
notes, which are derivative instruments whose value is tied to underlying
municipal obligations. Structured notes typically are purchased in privately
negotiated transactions from financial institutions. When the portfolio manager
believes that acceptable municipal obligations are unavailable for investment,
the fund may invest temporarily in high quality, taxable money market
instruments. Municipal obligations are typically of two types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal income
tax, interest from some of its holdings may be subject to the federal
alternative minimum tax. In addition, the fund occasionally may invest in
taxable money market instruments.


8


<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)




                                                        2.66    2.86    2.60
1989    1990    1991    1992    1993    1994    1995    1996    1997    1998


BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                  2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------
<TABLE>

Expense example

1 Year                               3 Years                              5 Years                              10 Years
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                  <C>                                  <C>                                  <C>

$107                                 $334                                 $579                                 $1,283
</TABLE>


This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.



Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                         General Municipal Money Market Fund  9








<PAGE 9>


                                                     General Minnesota Municipal
                                                     Money Market Fund
                                                     -----------------------
                                                     Ticker Symbol: GMNXX


GOAL/APPROACH

The fund seeks to maximize current income exempt from federal and Minnesota
state personal income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal and
Minnesota state personal income taxes. When the portfolio manager believes that
acceptable Minnesota municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*    GENERAL OBLIGATION BONDS, which are secured by the full faith and credit of
     the issuer and its taxing power

*    REVENUE BONDS,  which are payable from the revenues derived from a specific
     revenue  source,  such as  charges  for water and sewer  service or highway
     tolls



MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*    interest rates could rise sharply, causing the fund's share price to drop

*    any of the fund's holdings could have its credit rating downgraded or could
     default

*    Minnesota's economy and revenues  underlying its municipal  obligations may
     decline

*    the fund's  portfolio  securities  may be more  sensitive to risks that are
     specific to investing primarily in a single state

Although the fund's objective is to generate income exempt from federal and
Minnesota state income taxes, interest from some of its holdings may be subject
to the federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.


10


<PAGE 10>

PAST PERFORMANCE

Since the fund has less than one calendar year of performance, past performance
information is not included. For performance information as of the end of the
fund's first fiscal period, please refer to the Statement of Additional
Information (SAI).


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.


EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------

$170                  $526

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.


Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%. This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                               General Minnesota Municipal Money Market Fund  11






<PAGE 11>



MANAGEMENT

The investment adviser for each fund is The Dreyfus Corporation, 200 Park
Avenue, New York, New York 10166. Founded in 1947, Dreyfus manages more than
$118 billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of Mellon Financial Corporation, a global financial services company with
approximately $2.5 trillion in assets under management, administration or
custody, including approximately $450 billion under management. Mellon provides
wealth management, global investment services and a comprehensive array of
banking services for individuals, businesses and institutions. Mellon is
headquartered in Pittsburgh, Pennsylvania.

The Dreyfus asset management philosophy is based on the belief that discipline
and consistency are important to investment success. For each fund, Dreyfus
seeks to establish clear guidelines for portfolio management and to be
systematic in making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure that personal trading by Dreyfus employees does not disadvantage any
Dreyfus-managed fund. Dreyfus portfolio managers and other investment personnel
who comply with the Policy's preclearance and disclosure procedures may be
permitted to purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.



Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.


12

<PAGE 12>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
(except General Treasury Prime Money Market Fund) for the periods indicated. As
a new fund, financial highlights information is not available for General
Treasury Prime Money Market Fund as of the date of this prospectus. "Total
return" shows how much your investment in the fund would have increased (or
decreased) during each period, assuming you had reinvested all dividends and
distributions. These figures have been independently audited (except where
noted) by Ernst & Young LLP, whose report, along with the fund's financial
statements, is included in the annual report.

<TABLE>

                                                          (UNAUDITED)
                                                       SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                             MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                                    1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                           <C>            <C>            <C>            <C>            <C>

PER-SHARE DATA ($)

 Net asset value, beginning of period                         1.00           1.00           1.00           1.00           1.00

 Investment operations:  Investment income -- net             .021           .047           .039           .046           .043

 Distributions:          Dividends from investment
                         income -- net                       (.021)        (.047)          (.039)         (.046)         (.043)

 Net asset value, end of period                               1.00          1.00            1.00           1.00           1.00

 Total return (%)                                            4.17(3)        4.78            4.83(3)        4.65           5.18(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                 1.00            1.00           1.00(3)        1.00           1.00(3)

 Ratio of net investment income to average
net assets (%)                                               4.14(3)         4.66           4.78(3)        4.56           5.00(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .04(3)          .06            .05(3)         .07            .07(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                   2,679,456      2,427,332       1,231,132       369,205         50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                         (UNAUDITED)
                                                       SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                            MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND             1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                        1.00           1.00           1.00           1.00           1.00

 Investment operations:  Investment income -- net            .020           .046           .038           .045           .042

 Distributions:          Dividends from investment
                         Income -- net                      (.020)         (.046)          (.038)         (.045)         (.042)

 Net asset value, end of period                              1.00           1.00            1.00           1.00           1.00

 Total return (%)                                           4.05(3)         4.66            4.69(3)        4.58           5.01(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)               1.00(3)           .97           1.00(3)         1.00           1.00(3)

 Ratio of net investment income to average
net assets (%)                                             4.01(3)           4.55          4.60(3)         4.48           5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                              .03(3)            .05           .05(3)          .08            .10(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                    650,987         645,984        364,845         90,175             58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

                                                                                                          Financial Highlights  13



<PAGE 13>

FINANCIAL HIGHLIGHTS (CONTINUED)

                                                                (UNAUDITED)
                                                              SIX MONTHS ENDED
                                                                  MAY 31,                      YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                               1999              1998         1997        1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

 Net asset value, beginning of period                             1.00               1.00        1.00         1.00        1.00

 Investment operations:  Investment income -- net                 .011               .026        .028         .027        .020

 Distributions:          Dividends from investment
                         income -- net                           (.011)             (.026)      (.028)       (.027)      (.020)

 Net asset value, end of period                                   1.00               1.00        1.00         1.00        1.00

 Total return (%)                                                 2.23(2)            2.64        2.86         2.70      3.01(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                      .98(2)              .96        .95           .85      1.10(2)

 Ratio of net investment income to average net assets (%)        2.22(2)             2.59       2.87          2.65      2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                   .07(2)               .09        .16           .29       .09(2)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                         401,156            377,636     263,008      17,491       3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.
</TABLE>




<TABLE>

                                                                              (UNAUDITED)
                                                                           SIX MONTHS ENDED
                                                                                MAY 31,         PERIOD ENDED NOVEMBER 30,
 GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                   1999                    1998(1)
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                              <C>                      <C>

PER-SHARE DATA ($)

Net asset value, beginning of period                                              1.00                    1.00

 Investment operations:  Investment income -- net                                 .012                    .013

 Distributions:          Dividends from investment income -- net                 (.012)                  (.013)

 Net asset value, end of period                                                   1.00                    1.00

 Total return (%)                                                                 2.43                    2.67(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                        .80                     .80(2)

Ratio of net investment income to average net assets (%)                          2.39                    2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                      .50                     .87(2)
- --------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                           31,251                   28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.
(2)  ANNUALIZED.
</TABLE>


14

<PAGE 14>


Your Investment

ACCOUNT POLICIES

Buying shares


GENERAL FUNDS are designed primarily for people who are investing through a
third party such as a bank, broker-dealer or financial adviser. Third parties
with whom you open a fund account may impose policies, limitations and fees
which are different than those described here. To purchase fund shares, contact
your financial representative.


APPLICABLE TO GENERAL MONEY MARKET FUND, GENERAL GOVERNMENT SECURITIES MONEY
MARKET FUND AND GENERAL TREASURY PRIME MONEY MARKET FUND ONLY:

YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York Stock Exchange or the fund's transfer agent is open. Your order will be
priced at the next NAV calculated after your order is accepted by the fund's
transfer agent or other authorized entity. Each fund's investments are valued
based on amortized cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you will receive the dividend declared that day. If your payments are received
in or converted into Federal Funds after 12:00 noon, you will begin to accrue
dividends on the following business day. Qualified institutions may telephone
orders to buy shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5:00 p.m. and will receive the dividend declared that day. If such an order is
made after 5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m. the next business day, the shares will be purchased at the NAV determined
at 8:00 p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL MUNICIPAL MONEY MARKET FUND AND GENERAL MINNESOTA
MUNICIPAL MONEY MARKET FUND ONLY:


YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8:00 p.m., for the Municipal Money Market Fund, every day the New York Stock
Exchange or the fund's transfer agent is open. Your order will be priced at the
next NAV calculated after your order is accepted by the fund's transfer agent or
other authorized entity. Each fund's investments are valued based on amortized
cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for the Minnesota Municipal Money Market Fund or by 4:00 p.m. for the Municipal
Money Market Fund, you will receive the dividend declared that day. If your
payments are received in or converted into Federal Funds after 12:00 noon for
the Minnesota Municipal Money Market Fund or after 4:00 p.m. for the Municipal
Money Market Fund, you will begin to accrue dividends on the following business
day. Qualified institutions may telephone orders to buy shares. If such an order
is made by 12:00 noon for the Minnesota Municipal Money Market Fund or by 2:00
p.m. for the Municipal Money Market Fund, and Federal Funds are received by 4:00
p.m., the shares will be purchased at the NAV determined after the telephone
order is accepted and will receive the dividend declared that day. If such an
order is made after 12:00 noon for the Minnesota Municipal Money Market Fund or
after 2:00 p.m. for the Municipal Money Market Fund, but by Your Investment


                                                              Your Investment 15

<PAGE 15>

ACCOUNT POLICIES (CONTINUED)

8:00 p.m., and Federal Funds are received by 11:00 a.m. the next business day,
the shares will be purchased at the NAV determined at 8:00 p.m. and will begin
to accrue dividends on the next business day. All times are Eastern time.

BECAUSE THE MUNICIPAL MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.




Selling shares

YOU MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or you can contact the fund directly. Your shares will be sold at the next NAV
calculated after your order is accepted by the fund's transfer agent or other
authorized entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE SELLING RECENTLY PURCHASED SHARES, please note that if the fund has not
yet collected payment for the shares you are selling, it may delay sending the
proceeds for up to eight business days or until it has collected payment.





Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.



General policies


UNLESS YOU DECLINE TELEPHONE PRIVILEGES, you may be responsible for any
fraudulent telephone order as long as Dreyfus takes reasonable measures to
verify that the order is from a representative of your financial institution.


EACH FUND RESERVES THE RIGHT TO:

*    refuse any  purchase or exchange  request that could  adversely  affect the
     fund or its  operations,  including those from any individual or group who,
     in the  fund's  view,  is likely to engage in  excessive  trading  (usually
     defined as more than four exchanges out of the fund within a calendar year)

*    refuse any purchase or exchange request in excess of 1% of the fund's total
     assets

*    change or discontinue its exchange  privilege,  or temporarily suspend this
     privilege during unusual market conditions

*    change its minimum investment amounts

*    delay  sending  out  redemption  proceeds  for up to seven days  (generally
     applies  only in cases of very  large  redemptions,  excessive  trading  or
     during unusual market conditions)

Each fund also reserves the right to make a "redemption in kind" -- payment in
portfolio securities rather than cash -- if the amount you are redeeming is
large enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).


16


<PAGE 16>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once a month, and distributes any net realized securities gains once a year.
Your dividends and distributions will be reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS AND DISTRIBUTIONS PAID by the taxable money market funds are taxable
to U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH MUNICIPAL MONEY MARKET FUND anticipates that, under normal market
conditions, virtually all of its income dividends will be exempt from federal
and, as to Minnesota Municipal Money Market Fund, Minnesota personal income
taxes. However, any dividends and distributions from taxable investments are
taxable as ordinary income.



Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.


The tax status of any distribution is the same regardless of how long you have
been in the fund and whether you reinvest your distributions or take them in
cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.


Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.



                                                           Your Investment  17



<PAGE 17>

For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Treasury Prime
Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481



General Minnesota Municipal
Money Market Fund
- ----------------------------------
SEC file number:  811-3481



More information on each fund is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with the Securities and Exchange Commission (SEC) and is incorporated by
reference (is legally considered part of this prospectus).



To obtain information:


BY TELEPHONE
Call your John G. Kinnard Investment Executive or
1-800-444-7884 or 612-370-2559

BY MAIL  Write to:
John G. Kinnard & Co. Incorporated
920 Second Avenue South
Minneapolis, MN 55402


ON THE INTERNET  Text-only versions of fund documents can
be viewed online or downloaded from:
http://www.sec.gov

You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.



(c) 1999 Dreyfus Service Corporation
GEN-P1299B-JGK


- --------------------------------------------------------------------------------

PROSPECTUS


General Money Market Funds

General Money Market Fund

General Government Securities Money Market Fund

General Treasury Prime Money Market Fund

General Municipal Money Market Fund

General California Municipal Money Market Fund

General Minnesota Municipal Money Market Fund

General New York Municipal Money Market Fund

Investing in high quality, short-term securities for current income, safety of
principal and liquidity

PROSPECTUS December 1, 1999

CLASS B SHARES





[Baird logo]

THIS PROSPECTUS IS TO BE USED ONLY BY CLIENTS OF BAIRD.


As with all mutual funds, the Securities and Exchange Commission has not
approved or disapproved these securities or passed upon the adequacy of this
prospectus. Any representation to the contrary is a criminal offense.


<PAGE>

The Funds

Contents

The Funds
- --------------------------------------------------------------------------------

Introduction                                                              1

General Money Market Fund                                                 2

General Government Securities
Money Market Fund                                                         4

General Treasury Prime
Money Market Fund                                                         6

General Municipal
Money Market Fund                                                         8

General California Municipal
Money Market Fund                                                        10

General Minnesota Municipal
Money Market Fund                                                        12

General New York Municipal
Money Market Fund                                                        14

Management                                                               16

Financial Highlights                                                     17

Your Investment
- --------------------------------------------------------------------------------

Account Policies                                                         20

Distributions and Taxes                                                  22




For More Information
- --------------------------------------------------------------------------------

MORE INFORMATION ON EACH FUND CAN BE FOUND IN THE FUND'S CURRENT
ANNUAL/SEMIANNUAL REPORT. SEE BACK COVER.

Introduction

Each fund is a money market mutual fund with a separate investment portfolio.
The operations and results of a fund are unrelated to those of each other fund.
This combined prospectus has been prepared for your convenience so that you can
consider seven investment choices in one document.

As a money market fund, each fund is subject to maturity, quality and
diversification requirements designed to help it maintain a stable share price.

Generally, each fund is required to invest at least 95% of its assets in the
securities of issuers with the highest credit rating or the unrated equivalent
as determined by Dreyfus, with the remainder invested in securities with the
second-highest credit rating.

An investment in a fund is not insured or guaranteed by the Federal Deposit
Insurance Corporation or any other government agency. Although each fund seeks
to preserve the value of your investment at $1.00 per share, it is possible to
lose money by investing in a fund.

Concepts to understand

MONEY MARKET FUND: a specific type of fund that seeks to maintain a $1.00 price
per share. Money market funds are subject to strict federal requirements and
must:

*  maintain an average dollar-weighted portfolio maturity of 90 days or
   less

*  buy individual securities that have remaining maturities of 13 months or
   less

*  invest only in high quality, dollar-denominated obligations

CREDIT RATING: a measure of the issuer's expected ability to make all required
interest and principal payments in a timely manner. An issuer with the highest
credit rating has a very strong degree of certainty (or safety) with respect to
making all payments. An issuer with the second-highest credit rating has a
strong capacity to make all payments, but the degree of safety is somewhat less

The Funds

<PAGE 1>


General Money Market Fund
- -----------------------

Ticker Symbol: GMBXX

GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital. To pursue this goal, the fund invests in a diversified
portfolio of high quality, short-term debt securities, including the following:

*  securities issued or guaranteed by the U.S. government or its agencies

*  certificates of deposit, time deposits, bankers' acceptances and other
   short-term securities issued by domestic or foreign banks or their
   subsidiaries or branches

*  repurchase agreements

*  asset-backed securities

*  domestic and dollar-denominated foreign commercial paper, and other
   short-term corporate obligations, including those with floating or variable
   rates of interest

*  dollar-denominated obligations issued or guaranteed by one or more
   foreign governments or any of their political subdivisions or agencies

Normally, the fund invests at least 25% of its net assets in domestic or
dollar-denominated foreign bank obligations.

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*  interest rates could rise sharply, causing the fund's share price to
   drop

*  any of the fund's holdings could have its credit rating downgraded or
   could default

*  the risks generally associated with concentrating investments in the
   banking industry, such as interest rate risk, credit risk and regulatory
   developments relating to the banking industry

*  the risks generally associated with dollar-denominated foreign
   investments, such as economic and political developments, seizure or
   nationalization of deposits, imposition of taxes or other restrictions on the
   payment of principal and interest





<PAGE 2>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)

                                        4.68   4.84  4.73
89    90    91    92   93    94    95     96     97    98

BEST QUARTER:                    Q4 '97                          +1.22%

WORST QUARTER:                   Q4 '98                          +1.09%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.16%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                 Since
                                                               inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.73%                                                   4.84%

The fund's 7-day yield on 12/31/98 was 4.25%. For the fund's current yield, call
toll-free 1-800-645-6561.

What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.


EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.06%
- --------------------------------------------------------------------------------

Expense example


1 Year               3 Years                5 Years                10 Years
- --------------------------------------------------------------------------------


$108                 $337                   $585                  $1,294

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                                     General Money Market Fund 3





<PAGE 3>

                                 General Government Securities Money Market Fund
                                 -----------------------------------------------
                                 Ticker Symbol: GSBXX
GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund invests in securities issued or guaranteed by the
U.S. government or its agencies or instrumentalities, and repurchase agreements
in respect of these securities.

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.





<PAGE 4>

PAST PERFORMANCE

The tables below show some the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)

                                         4.60    4.69   4.61
89    90    91    92    93    94    95     96      97     98

BEST QUARTER:                    Q4 '97               +1.18%

WORST QUARTER:                   Q4 '98               +1.06%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 3.06%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                 Since
                                                               inception
         1 Year                                               (3/31/95)
- --------------------------------------------------------------------------------

         4.61%                                                   4.72%

The fund's 7-day yield on 12/31/98 was 4.08%. For the fund's current yield, call
toll-free 1-800-645-6561.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                         0.50%

Rule 12b-1 fee                                                          0.20%

Shareholder services fee                                                0.25%

Other expenses                                                          0.07%
- --------------------------------------------------------------------------------

TOTAL                                                                   1.02%
- --------------------------------------------------------------------------------

Expense example

1 Year              3 Years          5 Years                10 Years
- --------------------------------------------------------------------------------
$104                $325             $563                   $1,248


This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.02% to 0.97%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                               General Government Securities Money Market Fund 5








<PAGE 5>

                                        General Treasury Prime Money Market Fund
                                        ----------------------------------------
                                        Ticker Symbol: N/A

GOAL/APPROACH

The fund seeks as high a level of current income as is consistent with the
preservation of capital and the maintenance of liquidity.

To pursue this goal, the fund only invests in securities issued or guaranteed as
to principal and interest by the U.S. government.

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

A security backed by the U.S. Treasury or the full faith and credit of the
United States is guaranteed only as to the timely payment of interest and
principal when held to maturity. The current market prices for such securities
are not guaranteed and will fluctuate. The fund is subject to the risk that
interest rates could rise sharply, causing the fund's share price to drop.





<PAGE 6>

PAST PERFORMANCE

As a new fund, past performance information is not available for the fund as of
the date of this prospectus.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.




EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year                 3 Years
- --------------------------------------------------------------------------------

$107                    $334

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                      General Treasury Prime Money Market Fund 7






<PAGE 7>

                                            General Municipal Money Market Fund
                                            -----------------------------------
                                            Ticker Symbol: GBMXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal personal income
tax, as is consistent with the preservation of capital and the maintenance of
liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal personal
income tax. The fund also may invest in high quality, short-term structured
notes, which are derivative instruments whose value is tied to underlying
municipal obligations. Structured notes typically are purchased in privately
negotiated transactions from financial institutions. When the portfolio manager
believes that acceptable municipal obligations are unavailable for investment,
the fund may invest temporarily in high quality, taxable money market
instruments. Municipal obligations are typically of two types:

* GENERAL OBLIGATION BONDS, which are secured by the full faith and
  credit of the issuer and its taxing power

* REVENUE BONDS, which are payable from the revenues derived from a
  specific revenue source, such as charges for water and sewer service or
  highway tolls

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*   interest rates could rise sharply, causing the fund's share price to
    drop

*   any of the fund's holdings could have its credit rating downgraded or
    could default

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal income
tax, interest from some of its holdings may be subject to the federal
alternative minimum tax. In addition, the fund occasionally may invest in
taxable money market instruments.





<PAGE 8>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)

                                         2.66  2.86   2.60
89    90    91    92    93    94    95     96    97     98

BEST QUARTER:                    Q2 '97                          +0.76%

WORST QUARTER:                   Q4 '98                          +0.61%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.68%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                 Since
                                                               inception
         1 Year                                                (3/31/95)
- --------------------------------------------------------------------------------

         2.60%                                                  2.77%

The fund's 7-day yield on 12/31/98 was 2.83%. For the fund's current yield, call
toll-free 1-800-645-6561.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.10%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.05%
- --------------------------------------------------------------------------------

Expense example

1 Year            3 Years              5 Years           10 Years
- --------------------------------------------------------------------------------

$107               $334                 $579              $1,283

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.05% to 0.96%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.

                                           General Municipal Money Market Fund 9








<PAGE 9>

                                  General California Municipal Money Market Fund
                                  ----------------------------------------------
                                  Ticker Symbol: GENXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal and California
state personal income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal and
California state personal income taxes. The fund also may invest in high
quality, short-term structured notes, which are derivative instruments whose
value is tied to underlying municipal obligations. Structured notes typically
are purchased in privately negotiated transactions from financial institutions.
When the portfolio manager believes that acceptable California municipal
obligations are unavailable for investment, the fund may invest in securities
that may be subject to California state income tax, but are free from federal
income tax. Municipal obligations are typically of two types:

*  GENERAL OBLIGATION BONDS, which are secured by the full faith and
   credit of the issuer and its taxing power

*  REVENUE BONDS, which are payable from the revenues derived from a
   specific revenue source, such as charges for water and sewer service or
   highway tolls

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*  interest rates could rise sharply, causing the fund's share price to
   drop

*  any of the fund's holdings could have its credit rating downgraded or
   could default

*  California's economy and revenues underlying its municipal obligations
   may decline

*  the fund's portfolio securities may be more sensitive to risks that are
   specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal and
California state income taxes, interest from some of its holdings may be subject
to the federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.





<PAGE 10>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)

                                                     2.48   2.62   2.34
89      90      91      92      93      94      95     96     97     98

BEST QUARTER:                    Q2 '97                          +0.71%

WORST QUARTER:                   Q3 '98                          +0.53%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.48%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                               Since
                                                              inception
         1 Year                                               (8/1/95)
- --------------------------------------------------------------------------------

         2.34%                                                  2.52%

The fund's 7-day yield on 12/31/98 was 2.59%. For the fund's current yield, call
toll-free 1-800-645-6561.

What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.12%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.07%
- --------------------------------------------------------------------------------

Expense example

1 Year               3 Years            5 Years             10 Years
- --------------------------------------------------------------------------------

$109                 $340               $590                $1,306

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.07% to 1.00%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


General California Municipal Money Market Fund








<PAGE 11>

                                   General Minnesota Municipal Money Market Fund
                                   ---------------------------------------------
                                   Ticker Symbol: GMNXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal and Minnesota
state personal income taxes, as is consistent with the preservation of capital
and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal and
Minnesota state personal income taxes. When the portfolio manager believes that
acceptable Minnesota municipal obligations are unavailable for investment, the
fund may invest in securities that may be subject to Minnesota state income tax,
but are free from federal income tax. Municipal obligations are typically of two
types:

*  GENERAL OBLIGATION BONDS, which are secured by the full faith and
   credit of the issuer and its taxing power

*  REVENUE BONDS, which are payable from the revenues derived from a
   specific revenue source, such as charges for water and sewer service or
   highway tolls

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*  interest rates could rise sharply, causing the fund's share price to
   drop

*  any of the fund's holdings could have its credit rating downgraded or
   could default

*  Minnesota's economy and revenues underlying its municipal obligations
   may decline

*  the fund's portfolio securities may be more sensitive to risks that are
   specific to investing primarily in a single state

Although the fund's objective is to generate income exempt from federal and
Minnesota state income taxes, interest from some of its holdings may be subject
to the federal alternative minimum tax. In addition, the fund occasionally may
invest in taxable bonds and/or municipal bonds that are exempt only from federal
personal income taxes.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.





<PAGE 12>

PAST PERFORMANCE

Since the fund has less than one calendar year of performance, past performance
information is not included. For performance information as of the end of the
fund's first fiscal period, please refer to the Statement of Additional
Information (SAI).


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.


EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.72%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.67%
- --------------------------------------------------------------------------------

Expense example

1 Year                3 Years
- --------------------------------------------------------------------------------

$170                  $526

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.


Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal period ended
November 30, 1998, Dreyfus waived its fee and assumed certain other fund
expenses pursuant to an undertaking, reducing total expenses from 1.67% to
0.80%.  This undertaking was voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and estimated fees to be paid by the fund for
miscellaneous items such as transfer agency, custody, professional and
registration fees.

                                General Minnesota Municipal Money Market Fund 13






<PAGE 13>

                                    General New York Municipal Money Market Fund
                                    --------------------------------------------
                                    Ticker Symbol: GNYXX

GOAL/APPROACH

The fund seeks to maximize current income exempt from federal, New York state
and New York city personal income taxes, as is consistent with the preservation
of capital and the maintenance of liquidity.

To pursue this goal, the fund normally invests substantially all net assets in
municipal obligations, the interest from which is exempt from federal, New York
state and New York city personal income taxes. The fund also may invest in high
quality, short-term structured notes, which are derivative instruments whose
value is tied to underlying municipal obligations. Structured notes typically
are purchased in privately negotiated transactions from financial institutions.
When the portfolio manager believes that acceptable New York municipal
obligations are unavailable for investment, the fund may invest in securities
that may be subject to New York state and New York city income taxes, but are
free from federal income tax. Municipal obligations are typically of two types:

*  GENERAL OBLIGATION BONDS, which are secured by the full faith and
   credit of the issuer and its taxing power

*  REVENUE BONDS, which are payable from the revenues derived from a
   specific revenue source, such as charges for water and sewer service or
   highway tolls

MAIN RISKS

The fund's yield will vary as the short-term securities in its portfolio mature
and the proceeds are reinvested in securities with different interest rates.

While the fund has maintained a constant share price since inception, and will
continue to try to do so, the following factors could reduce the fund's income
level and/or share price:

*  interest rates could rise sharply, causing the fund's share price to
   drop

*  any of the fund's holdings could have its credit rating downgraded or
   could default

*  New York's economy and revenues underlying its municipal obligations
   may decline

*  the fund's portfolio securities may be more sensitive to risks that are
   specific to investing primarily in a single state

Derivative securities, such as structured notes, can be highly volatile, and the
possibility of default by the financial institution or counterparty may be
greater for these securities than for other types of money market instruments.

Although the fund's objective is to generate income exempt from federal, New
York state and New York city income taxes, interest from some of its holdings
may be subject to the federal alternative minimum tax. In addition, the fund
occasionally may invest in taxable bonds and/or municipal bonds that are exempt
only from federal personal income tax.

The fund is non-diversified, which means that a relatively high percentage of
the fund's assets may be invested in a limited number of issuers. Therefore, its
performance may be more vulnerable to changes in the market value of a single
issuer or a group of issuers.





<PAGE 14>

PAST PERFORMANCE

The tables below show some of the risks of investing in Class B. The first table
shows changes in the fund's performance from year to year. The second table
averages the fund's performance over time. Both tables assume reinvestment of
dividends and distributions. Of course, past performance is no guarantee of
future results.
- --------------------------------------------------------------------------------

Year-by-year total return AS OF 12/31 EACH YEAR (%)

                                                    2.51    2.70   2.42
89      90      91       92      93      94    95     96      97     98

BEST QUARTER:                    Q2 '97                          +0.70%

WORST QUARTER:                   Q4 '98                          +0.55%

THE FUND'S YEAR-TO-DATE TOTAL RETURN AS OF 9/30/99 WAS 1.52%.
- --------------------------------------------------------------------------------

Average annual total return AS OF 12/31/98

                                                                Since
                                                              inception
         1 Year                                               (9/8/95)
- --------------------------------------------------------------------------------

         2.42%                                                  2.57%

The fund's 7-day yield on 12/31/98 was 2.61%. For the fund's current yield, call
toll-free 1-800-645-6561.


What this fund is -- and isn't

This fund is a mutual fund: a pooled investment that is professionally managed
and gives you the opportunity to participate in financial markets. It strives to
reach its stated goal, although as with all mutual funds, it cannot offer
guaranteed results.

An investment in this fund is not a bank deposit. It is not insured or
guaranteed by the FDIC or any other government agency. It is not a complete
investment program. You could lose money in this fund, but you also have the
potential to make money.



EXPENSES

As an investor, you pay certain fees and expenses in connection with the fund,
which are described for Class B in the table below. Annual fund operating
expenses are paid out of fund assets, so their effect is included in the share
price.
- --------------------------------------------------------------------------------

Fee table

ANNUAL FUND OPERATING EXPENSES

% OF AVERAGE DAILY NET ASSETS

Management fees                                                          0.50%

Rule 12b-1 fee                                                           0.20%

Shareholder services fee                                                 0.25%

Other expenses                                                           0.11%
- --------------------------------------------------------------------------------

TOTAL                                                                    1.06%
- --------------------------------------------------------------------------------

Expense example

1 Year              3 Years             5 Years                10 Years
- --------------------------------------------------------------------------------

$108                $337                $585                   $1,294

This example shows what you could pay in expenses over time. It uses the same
hypothetical conditions other funds use in their prospectuses: $10,000 initial
investment, 5% total return each year and no changes in expenses. The figures
shown would be the same whether you sold your shares at the end of a period or
kept them. Because actual return and expenses will be different, the example is
for comparison only.

Concepts to understand

MANAGEMENT FEE: the fee paid to Dreyfus for managing the fund's portfolio and
assisting in all aspects of the fund's operations. For the fiscal year ended
November 30, 1998, Dreyfus assumed certain fund expenses pursuant to an
undertaking, reducing total expenses from 1.06% to 0.98%. This undertaking was
voluntary.

RULE 12B-1 FEE: a fee of up to 0.20% to reimburse the fund's distributor for
distributing Class B shares. Because this fee is paid out of the fund's assets
on an ongoing basis, over time it will increase the cost of your investment and
may cost you more than paying other types of sales charges.

SHAREHOLDER SERVICES FEE: a fee paid to the fund's distributor for shareholder
account service and maintenance.

OTHER EXPENSES: a fee of 0.05% paid by the fund for sub-accounting services
provided by third parties and fees paid by the fund for miscellaneous items such
as transfer agency, custody, professional and registration fees.


                                 General New York Municipal Money Market Fund 15








<PAGE 15>

MANAGEMENT

The investment adviser for each fund is The Dreyfus Corporation, 200 Park
Avenue, New York, New York 10166. Founded in 1947, Dreyfus manages more than
$118 billion in over 160 mutual fund portfolios. For the past fiscal year, each
operational fund (other than General Minnesota Municipal Money Market Fund) paid
Dreyfus a management fee at an annual rate of 0.50% of the fund's average daily
net assets. For General Minnesota Municipal Money Market Fund, no management fee
was paid to Dreyfus for that period. Dreyfus is the primary mutual fund business
of Mellon Financial Corporation, a global financial services company with
approximately $2.5 trillion in assets under management, administration or
custody, including approximately $450 billion under management. Mellon provides
wealth management, global investment services and a comprehensive array of
banking services for individuals, businesses and institutions. Mellon is
headquartered in Pittsburgh, Pennsylvania.

The Dreyfus asset management philosophy is based on the belief that discipline
and consistency are important to investment success. For each fund, Dreyfus
seeks to establish clear guidelines for portfolio management and to be
systematic in making decisions. This approach is designed to provide each fund
with a distinct, stable identity.

Dreyfus has a personal securities trading policy (the "Policy") which restricts
the personal securities transactions of its employees. Its primary purpose is to
ensure that personal trading by Dreyfus employees does not disadvantage any
Dreyfus-managed fund. Dreyfus portfolio managers and other investment personnel
who comply with the Policy's preclearance and disclosure procedures may be
permitted to purchase, sell or hold certain types of securities which also may
be or are held in the fund(s) they advise.

Concepts to understand

YEAR 2000 ISSUES: these funds could be adversely affected if the computer
systems used by Dreyfus and the funds' other service providers do not properly
process and calculate date-related information from and after January 1, 2000.

Dreyfus is working to avoid year 2000-related problems in its systems and to
obtain assurances from other service providers that they are taking similar
steps. In addition, issuers of securities in which these funds invest may be
adversely affected by year 2000-related problems. This could have an impact on
the value of a fund's investments and its share price.




<PAGE 16>

FINANCIAL HIGHLIGHTS

The following tables describe the performance of the Class B shares of each fund
(except General Treasury Prime Money Market Fund) for the periods indicated. As
a new fund, financial highlights information is not available for General
Treasury Prime Money Market Fund as of the date of this prospectus. "Total
return" shows how much your investment in the fund would have increased (or
decreased) during each period, assuming you had reinvested all dividends and
distributions. These figures have been independently audited (except where
noted) by Ernst & Young LLP, whose report, along with the fund's financial
statements, is included in the annual report.

<TABLE>
<CAPTION>


                                                           (UNAUDITED)
                                                         SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                              MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL MONEY MARKET FUND                                     1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                            <C>             <C>           <C>            <C>            <C>
 Net asset value, beginning of period                          1.00            1.00          1.00           1.00           1.00

 Investment operations:  Investment income -- net              .021            .047          .039           .046           .043

 Distributions:          Dividends from investment
                         income -- net                        (.021)          (.047)        (.039)         (.046)         (.043)

 Net asset value, end of period                                1.00            1.00          1.00           1.00           1.00

 Total return (%)                                              4.17(3)         4.78          4.83(3)        4.65          5.18(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                  1.00            1.00           1.00(3)        1.00          1.00(3)

 Ratio of net investment income to average net assets (%)    4.14(3)          4.66           4.78(3)        4.56          5.00(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .04(3)           .06            .05(3)         .07           .07(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                     2,679,456     2,427,332      1,231,132        369,205        50,446

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.
(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.
(3)  ANNUALIZED.

</TABLE>

<TABLE>
<CAPTION>


                                                          (UNAUDITED)
                                                       SIX MONTHS ENDED   YEAR ENDED   TEN MONTHS ENDED
                                                             MAY 31,      NOVEMBER 30,   NOVEMBER 30,     YEAR ENDED JANUARY 31,
 GENERAL GOVERNMENT SECURITIES MONEY MARKET FUND              1999            1998         1997(1)         1997          1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                           <C>             <C>           <C>            <C>            <C>
 Net asset value, beginning of period                         1.00            1.00          1.00           1.00           1.00

 Investment operations:  Investment income -- net             .020            .046          .038           .045           .042

 Distributions:          Dividends from investment
                         income -- net                       (.020)          (.046)        (.038)         (.045)         (.042)

 Net asset value, end of period                               1.00            1.00          1.00           1.00           1.00

 Total return (%)                                             4.05(3)         4.66          4.69(3)        4.58          5.01(3)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                  1.00(3)          .97          1.00(3)         1.00         1.00(3)

 Ratio of net investment income to average net assets (%)     4.01(3)         4.55          4.60(3)         4.48         5.01(3)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                .03(3)           .05           .05(3)          .08          .10(3)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                     650,987        645,984        364,845          90,175           58

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JANUARY 31 TO NOVEMBER 30.

(2)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JANUARY 31, 1996.

(3)  ANNUALIZED.
</TABLE>


Financial Highlights



<PAGE 17>

FINANCIAL HIGHLIGHTS (CONTINUED)

<TABLE>
<CAPTION>


                                                               (UNAUDITED)
                                                             SIX MONTHS ENDED
                                                                  MAY 31,                     YEAR ENDED NOVEMBER 30,
 GENERAL MUNICIPAL MONEY MARKET FUND                               1999              1998         1997        1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                               <C>                <C>         <C>          <C>         <C>
 Net asset value, beginning of period                             1.00               1.00        1.00         1.00        1.00

 Investment operations:  Investment income -- net                 .011               .026        .028         .027        .020

 Distributions:          Dividends from investment
                         income -- net                           (.011)             (.026)      (.028)      (.027)      (.020)

 Net asset value, end of period                                   1.00               1.00        1.00         1.00        1.00

 Total return (%)                                                 2.23(2)            2.64        2.86         2.70       3.01(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                      .98(2)             .96         .95          .85       1.10(2)

 Ratio of net investment income to average net assets (%)         2.22(2)           2.59        2.87         2.65       2.83(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                    .07(2)             .09         .16          .29        .09(2)
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                         401,156           377,636      263,008      17,491       3,024

(1)  FROM MARCH 31, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.
(2)  ANNUALIZED.
</TABLE>


<TABLE>
<CAPTION>


                                                             (UNAUDITED)
                                                          SIX MONTHS ENDED    YEAR ENDED    FOUR MONTHS ENDED
                                                               MAY 31,       NOVEMBER 30,     NOVEMBER 30,   YEAR ENDED JULY 31,
 GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND                 1999             1998          1997(1)      1997       1996(2)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                              <C>             <C>        <C>            <C>         <C>
 Net asset value, beginning of period                            1.00            1.00       1.00           1.00        1.00

 Investment operations:  Investment income -- net                .002            .024       .009           .026        .025

 Distributions:          Dividends from investment
                         income -- net                          (.002)          (.024)     (.009)         (.026)      (.025)

 Net asset value, end of period                                  1.00            1.00       1.00           1.00        1.00

 Total return (%)                                              2.01(3)           2.39       2.57(3)        2.61        2.56
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                   1.00(3)           1.00       1.00(3)         1.00       1.00

 Ratio of net investment income to average net assets (%)      2.03(3)           2.34       2.62(3)         2.52       2.45

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                  .26(3)            .07        .13(3)          .07        .08
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                         47,012           8,760       2,669            928       5,475

(1)  THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.

(2)  FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.

(3)  ANNUALIZED.
</TABLE>



<PAGE 18>


<TABLE>
<CAPTION>

                                                                               (UNAUDITED)
                                                                            SIX MONTHS ENDED
                                                                                  MAY 31,        PERIOD ENDED NOVEMBER 30,
GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND                                      1999                 1998(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                                                <C>                  <C>
Net asset value, beginning of period                                               1.00                 1.00

 Investment operations:  Investment income -- net                                  .012                 .013

 Distributions:          Dividends from investment income -- net                 (.012)                (.013)

 Net asset value, end of period                                                    1.00                 1.00

 Total return (%)                                                                  2.43                 2.67(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

Ratio of expenses to average net assets (%)                                        .80                   .80(2)

Ratio of net investment income to average net assets (%)                          2.39                  2.63(2)

Decrease reflected in above expense ratios
due to actions by Dreyfus (%)                                                      .50                   .87(2)
- --------------------------------------------------------------------------------

Net assets, end of period ($ x 1,000)                                           31,251                28,160

(1)  FROM JUNE 1, 1998 (COMMENCEMENT OF OPERATIONS) TO NOVEMBER 30, 1998.

(2)  ANNUALIZED.
</TABLE>



<TABLE>
<CAPTION>

                                                                    (UNAUDITED)
                                                                  SIX MONTHS ENDED
                                                                        MAY 31,                  YEAR ENDED NOVEMBER 30,
 GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND                           1999             1998       1997      1996      1995(1)
- ------------------------------------------------------------------------------------------------------------------------------------

PER-SHARE DATA ($)

<S>                                                                    <C>               <C>         <C>       <C>        <C>
 Net asset value, beginning of period                                  1.00              1.00        1.00      1.00       1.00

 Investment operations:  Investment income -- net                     .010               .024        .027      .025       .006

 Distributions:          Dividends from investment income -- net     (.010)             (.024)      (.027)    (.025)     (.006)

 Net asset value, end of period                                       1.00               1.00        1.00      1.00       1.00

 Total return (%)                                                     2.01(2)            2.47        2.68      2.55       2.82(2)
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA

 Ratio of expenses to average net assets (%)                          .98(2)             .98          .95       .95       1.04(2)

 Ratio of net investment income to average net assets (%)            2.00(2)            2.44         2.64      2.47       3.64(2)

 Decrease reflected in above expense ratios
 due to actions by Dreyfus (%)                                        .09(2)             .08          .08       .16         --
- ------------------------------------------------------------------------------------------------------------------------------------

 Net assets, end of period ($ x 1,000)                             43,146            46,997        42,169    36,199         --

(1)  FROM SEPTEMBER 8, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO NOVEMBER 30, 1995.

(2)  ANNUALIZED.
</TABLE>


Financial Highlights

<PAGE 19>


Your Investment

ACCOUNT POLICIES

Buying shares


GENERAL FUNDS are designed primarily for people who are investing through a
third party such as a bank, broker-dealer or financial adviser. Third parties
with whom you open a fund account may impose policies, limitations and fees
which are different than those described here. To purchase fund shares, contact
your financial representative.


APPLICABLE TO GENERAL MONEY MARKET FUND, GENERAL GOVERNMENT SECURITIES MONEY
MARKET FUND AND GENERAL TREASURY PRIME MONEY MARKET FUND ONLY:

YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 5:00 p.m. and 8:00 p.m., every day the New
York Stock Exchange or the fund's transfer agent is open. Your order will be
priced at the next NAV calculated after your order is accepted by the fund's
transfer agent or other authorized entity. Each fund's investments are valued
based on amortized cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon,
you will receive the dividend declared that day. If your payments are received
in or converted into Federal Funds after 12:00 noon, you will begin to accrue
dividends on the following business day. Qualified institutions may telephone
orders to buy shares. If such an order is made by 5:00 p.m. and Federal Funds
are received by 6:00 p.m., the shares will be purchased at the NAV determined at
5:00 p.m. and will receive the dividend declared that day. If such an order is
made after 5:00 p.m. but by 8:00 p.m., and Federal Funds are received by 11:00
a.m. the next business day, the shares will be purchased at the NAV determined
at 8:00 p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

APPLICABLE TO GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND, GENERAL MUNICIPAL
MONEY MARKET FUND, GENERAL MINNESOTA MUNICIPAL MONEY MARKET FUND AND GENERAL NEW
YORK MUNICIPAL MONEY MARKET FUND ONLY:

YOUR PRICE FOR FUND SHARES is the fund's net asset value (NAV), which is
generally calculated twice a day, at 12:00 noon and 8:00 p.m., for the Minnesota
Municipal Money Market Fund and three times a day, at 12:00 noon, 2:00 p.m. and
8:00 p.m., for each other municipal money market fund, every day the New York
Stock Exchange or the fund's transfer agent is open. Your order will be priced
at the next NAV calculated after your order is accepted by the fund's transfer
agent or other authorized entity. Each fund's investments are valued based on
amortized cost.

IF YOUR PAYMENTS ARE RECEIVED in or converted into Federal Funds by 12:00 noon
for the Minnesota Municipal Money Market Fund or by 4:00 p.m. for each other
municipal money market fund, you will receive the dividend declared that day. If
your payments are received in or converted into Federal Funds after 12:00 noon
for the Minnesota Municipal Money Market Fund or after 4:00 p.m. for each other
municipal money market fund, you will begin to accrue dividends on the following
business day. Qualified institutions may telephone orders to buy shares. If such
an order is made by 12:00 noon for the Minnesota Municipal Money Market Fund or
by 2:00 p.m. for each other municipal money market fund, and Federal Funds are
received by 4:00 p.m., the shares will be purchased at the NAV determined after
the telephone order is accepted and will receive the dividend



<PAGE 20>

declared that day. If such an order is made after 12:00 noon for the Minnesota
Municipal Money Market Fund or after 2:00 p.m. for any of the other municipal
money market funds,  but by 8:00 p.m., and Federal Funds are received by 11:00
a.m. the next business day, the shares will be purchased at the NAV determined
at 8:00 p.m. and will begin to accrue dividends on the next business day. All
times are Eastern time.

BECAUSE THE MUNICIPAL MONEY MARKET FUNDS seek tax-exempt income, they are not
recommended for purchase in IRAs or other qualified retirement plans.




Selling shares

YOU MAY SELL (REDEEM) SHARES AT ANY TIME through your financial representative,
or you can contact the fund directly. Your shares will be sold at the next NAV
calculated after your order is accepted by the fund's transfer agent or other
authorized entity. Any certificates representing fund shares being sold must be
returned with your redemption request. Your order will be processed promptly and
you will generally receive the proceeds within a week.


BEFORE SELLING RECENTLY PURCHASED SHARES, please note that if the fund has not
yet collected payment for the shares you are selling, it may delay sending the
proceeds for up to eight business days or until it has collected payment.




Concepts to understand

NET ASSET VALUE (NAV): a mutual fund's share price on a given day. A fund's NAV
is calculated by dividing the value of its net assets by the number of existing
shares.

AMORTIZED COST: a method of valuing a money market fund's portfolio securities,
which does not take into account unrealized gains or losses. As a result,
portfolio securities are valued at their acquisition cost, adjusted over time
based on the discounts or premiums reflected in their purchase price. This
method of valuation is designed to permit a fund to maintain a stable NAV.


General policies


UNLESS YOU DECLINE TELEPHONE PRIVILEGES, you may be responsible for any
fraudulent telephone order as long as Dreyfus takes reasonable measures to
verify that the order is from a representative of your financial institution.


EACH FUND RESERVES THE RIGHT TO:

* refuse any purchase or exchange request that could adversely affect the
  fund or its operations, including those from any individual or group who, in
  the fund's view, is likely to engage  in excessive trading (usually defined as
  more than four exchanges out of the fund within a  calendar year)

* refuse any purchase or exchange request in excess of 1% of the fund's
  total assets

* change or discontinue its exchange privilege, or temporarily suspend
  this privilege during unusual market conditions

* change its minimum investment amounts

* delay sending out redemption proceeds for up to seven days (generally
  applies only in cases of very large redemptions, excessive trading or during
  unusual market conditions)

Each fund also reserves the right to make a "redemption in kind" -- payment in
portfolio securities rather than cash -- if the amount you are redeeming is
large enough to affect fund operations (for example, if it represents more than
1% of the fund's assets).




                                                            Your Investment 21

<PAGE 21>


DISTRIBUTIONS AND TAXES


EACH FUND USUALLY PAYS ITS SHAREHOLDERS dividends from its net investment income
once a month, and distributes any net realized securities gains once a year.
Your dividends and distributions will be reinvested in the fund unless you
instruct the fund otherwise. There are no fees or sales charges on reinvestments
or withdrawals.


DIVIDENDS AND DISTRIBUTIONS PAID by the taxable money market funds are taxable
to U.S. shareholders as ordinary income (unless your investment is in an IRA or
other tax-advantaged account).

EACH MUNICIPAL MONEY MARKET FUND anticipates that, under normal market
conditions, virtually all of its income dividends will be exempt from federal
and, as to California Municipal Money Market Fund, California, as to Minnesota
Municipal Money Market Fund, Minnesota, and as to New York Municipal Money
Market Fund, New York state and New York city, personal income taxes. However,
any dividends and distributions from taxable investments are taxable as ordinary
income.

Concepts to understand

DIVIDENDS: income or interest paid by the investments in a fund's portfolio, net
of expenses, passed on to fund shareholders.

DISTRIBUTIONS: income, net of expenses, passed on to fund shareholders. These
are calculated on a per-share basis: each share earns the same rate of return,
so the more fund shares you own, the higher your distribution.

SECURITIES GAINS: distributions derived from the profits the fund earns when it
sells securities for a higher price than it paid for them.

The tax status of any distribution is the same regardless of how long you have
been in the fund and whether you reinvest your distributions or take them in
cash.

Because everyone's tax situation is unique, always consult your tax professional
about federal, state and local tax consequences.




Retirement plans


A variety of retirement plans are offered for the taxable money market funds,
including traditional, Roth and Education IRAs.

In addition, SEP-IRAs, Keogh accounts, 401(k) and 403(b) accounts are also
available. Please call your financial representative for information.




<PAGE 22>

NOTES

<PAGE>


NOTES


For More Information

General Money Market Fund
- -----------------------------------
SEC file number:  811-3207

General Government Securities Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Treasury Prime Money Market Fund
- -----------------------------------
SEC file number:  811-3456

General Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General California Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-4871

General Minnesota Municipal Money Market Fund
- ----------------------------------
SEC file number:  811-3481

General New York Municipal Money Market Fund
- -----------------------------------
SEC file number:  811-4870

More information on each fund is available free upon request, including the
following:

Annual/Semiannual Report

Describes the fund's performance and lists portfolio holdings.

Statement of Additional Information (SAI)

Provides more details about each fund and its policies. A current SAI is on file
with the Securities and Exchange Commission (SEC) and is incorporated by
reference (is legally considered part of this prospectus).

To obtain information:



BY TELEPHONE Call your Baird Representative or 1-800-RW-BAIRD.

BY MAIL  Write to:  Robert W. Baird & Co. Incorporated Attn: Client Services 777
East Wisconsin Avenue Milwaukee, WI 53202

http://www.rwbaird.com


ON THE INTERNET  Text-only versions of fund documents can be viewed online or
downloaded from: http://www.sec.gov

You can also obtain copies by visiting the SEC's Public Reference Room in
Washington, DC (phone 1-800-SEC-0330) or by sending your request and a
duplicating fee to the SEC's Public Reference Section, Washington, DC
20549-6009.

(c) 1999 Dreyfus Service Corporation
GEN-P1299B-RWB




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