RBB FUND INC
485BPOS, 1996-05-17
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<PAGE>
 
                                                       Registration No. 33-20827
                                                       Inv. Co. Act No. 811-5518
    
As filed with the Securities and Exchange Commission on May 17, 1996      

================================================================================
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-1A

          REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933      [ ]
          
                      POST-EFFECTIVE AMENDMENT NO. 35                  [X]
                                      and
      REGISTRATION STATEMENT UNDER THE INVESTMENT COMPANY ACT OF 1940  [ ]

                              AMENDMENT NO. 37                         [X]      
                        __________________________________

                               THE RBB FUND, INC.
        
    (Warburg Pincus Growth & Income Fund: Warburg Pincus Class and Warburg
    Pincus Series 2 Class; Warburg Pincus Balanced Portfolio: Warburg Pincus
    Class and Warburg Pincus Series 2 Class; Warburg Pincus Tax Free Portfolio:
    Warburg Pincus Class; Government Securities Portfolio: RBB Family Class; BEA
    International Equity Portfolio:  BEA Class; BEA Strategic Fixed Income
    Portfolio: BEA Class; BEA Emerging Markets Equity Portfolio: BEA Class; BEA
    U.S. Core Equity Portfolio: BEA Class; BEA U.S. Core Fixed Income Portfolio;
    BEA Class; BEA Global Fixed Income Portfolio: BEA Class; BEA Municipal Bond
    Fund Portfolio; BEA Class; BEA Balanced Fund Portfolio; BEA Class; BEA Short
    Duration Portfolio: BEA Class; Numeric Micro Cap Fund; Numeric Class;
    Numeric Growth Fund; Numeric Class; Numeric Growth & Value Fund; Numeric
    Class; Money Market Portfolio: RBB Family Class, Cash Preservation Class,
    Sansom Street Class, Bedford Class, Janney  Class, Beta  Class, Gamma Class,
    Delta Class, Epsilon Class, Zeta Class, Eta Class and Theta Class;
    Municipal Money Market Portfolio: RBB Family Class, Cash Preservation Class,
    Sansom Street Class, Bedford Class, Bradford Class, Janney Class, Beta
    Class, Gamma Class, Delta Class, Epsilon Class, Zeta Class, Eta Class and
    Theta Class; Government Obligations Money Market Portfolio: Sansom Street
    Class, Bedford Class, Bradford Class, Janney Class, Beta Class, Gamma Class,
    Delta Class, Epsilon Class, Zeta Class, Eta Class and Theta Class; New York
    Municipal Money Market Portfolio: Bedford Class, Janney Class, Beta Class,
    Gamma Class, Delta Class, Epsilon Class, Zeta Class, Eta Class and Theta
    Class)      
    __________________________________________________________________________
               (Exact Name of Registrant as Specified in Charter)
                         Bellevue Park Corporate Center
                              400 Bellevue Parkway
                                   Suite 100
                             Wilmington, DE  19809
                    (Address of Principal Executive Offices)
                    ________________________________________
                 Registrant's Telephone Number:  (302) 792-2555

                                  Copies to:
GARY M. GARDNER, ESQUIRE                      JOHN N. AKE, ESQUIRE
PNC Bank, National Association                Ballard Spahr Andrews & Ingersoll
Broad and Chestnut Streets                    1735 Market Street, 51st Floor
Philadelphia, PA 19101                        Philadelphia, PA 19101

(Name and Address of
Agent for Service)

    Approximate Date of Proposed Public Offering:  as soon as possible after
effective date of registration statement.
    
    It is proposed that this filing will become effective (check appropriate
box)

           ______ immediately upon filing pursuant to paragraph (b)
                                                             
             X    on May 31, 1996 pursuant to paragraph (b)
           ------                                          
           ______ 60 days after filing pursuant to paragraph (a)(1)
                                                             
           ______ on ______________ pursuant to paragraph (a)(1)
                                                          
           ______ 75 days after filing pursuant to paragraph (a)(2)
                                                             
           ______ on _______________ pursuant to paragraph (a)(2) of rule 485
                                                                      

    If appropriate, check following box:

            _______  this post-effective amendment designates a new effective
                     date for a previously filed post-effective amendment.
                         ______________________________

    Pursuant to Rule 24f-2 under the Investment Company Act of 1940, Registrant
has elected to register an indefinite number of shares of common stock of each
of the sixty-six classes registered hereby under the Securities Act of 1933.
Registrant filed its notice pursuant to Rule 24f-2 for the fiscal year ended
August 31, 1995 on October 26, 1995.
     
<PAGE>
 
                                   SIGNATURES
   
Pursuant to the requirements of the Securities Act of 1933 and the Investment
Company Act of 1940, the Registrant certifies that it meets all of the
requirements for effectiveness of this Registration Statement pursuant to Rule
485(b) under the Securities Act of 1933 and has duly caused this Post-Effective
Amendment to its Registration Statement to be signed on its behalf by the
undersigned, thereunto duly authorized, in the City of Wilmington, and State of
Delaware, on May 16, 1996.    

                                  THE RBB FUND, INC.


                                  By: /s/ Edward J. Roach 
                                      ---------------------  
                                        Edward J. Roach
                                        President and
                                        Treasurer

         Pursuant to the requirements of the Securities Act of 1933, this Post-
Effective Amendment to Registrant's Registration Statement has been signed below
by the following persons in the capacities and on the date indicated.

<TABLE>   
<CAPTION>  
Signature                            Title                  Date
- -------------------------  -------------------------  ----------------
<S>                        <C>                        <C>
/s/ Edward J. Roach        President (Principal       MAY 16, 1995
- -------------------------  Executive Officer) and
Edward J. Roach            Treasurer (Principal  
                           Financial and Accounting
                           Officer)
 
/s/ Donald van Roden       Director                   MAY 16, 1995
- -------------------------
Donald van Roden
 
/s/ Francis J. McKay       Director                   MAY 16, 1995
- -------------------------
Francis J. McKay
 
/s/ Marvin E. Sternberg    Director                   MAY 16, 1995
- -------------------------
Marvin E. Sternberg
 
/s/ Julian A. Brodsky      Director                   MAY 16, 1995
- -------------------------
Julian A. Brodsky
 
/s/ Arnold M. Reichman     Director                   MAY 16, 1995
- -------------------------
Arnold M. Reichman
 
/s/ Robert Sablowsky       Director                   MAY 16, 1995
- -------------------------
Robert Sablowsky
</TABLE>    

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