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        Difficult Problem Solving Questions 
        Birthday Probability 
         
            
           If there are 85 students in a statistics class and we assume that there are 365 days in a 
           year, what is the probability that at least two students in the class have the same birthday 
           (assuming birthdays are distributed independently)? 
            
           A)  
                   
           B)  
                   
           C)  
                   
           D)  
                       
           E)  
                   
            
           View Answer and Explanation 
         
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           679 Units Digit Remainder 
                  
                                    15  4  3
                 What is the units digit of 6  - 7  - 9 ? 
                  
                 A)   8 
                 B)   7 
                 C)   6 
                 D)    5 
                 E)   4 
                  
                    
                 View Answer and Explanation 
            
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           May be distributed freely, but not modified. 
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           Xponential Mystery 
                  
                                                                 z
                 If x is a positive integer and z is a non-negative integer such that (2,066)  is a divisor of 
                                       x z
                 3,176,793, what is the value of z  - x ? 
                  
                    -81 
                 A)  
                    -1 
                 B)  
                 C)   0 
                 D)    1 
                    It Cannot Be Determined 
                 E)  
            
                 View Answer and Explanation 
            
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           May be distributed freely, but not modified. 
                         GMAT Practice Questions | GMAT Study Guide | Free GMAT Prep 
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                         3Z Powers  
                                      
                                               9 + 18z      -18z      15 - 9z
                                     If (243          )(81      )(27        ) = 1, what is the value of z? 
                                      
                                           -27 
                                     A)  
                                           -10 
                                     B)  
                                     C)   0 
                                     D)    10 
                                           27 
                                     E)  
                          
                                     View Answer and Explanation 
                          
                         GMAT Practice Questions | GMAT Study Guide | Free GMAT Prep 
                         www.platinumgmat.com | GMAT Practice Test 
                         Copyright © 2009 PlatinumPrep, LLC. 
                         May be distributed freely, but not modified.