1.     y + 54 + 63 = 180
                         y = 180 - 117
                         y = 63

        Ans : D

2.     Number of miles that the automobile actually travels

        = 72 ´

       = 96

3.     Units digit   =   4
        Tens digit    =   6
        4    =   2/3  ´   6
        \ The required number is 64

        Ans : B

4.     8x + 6x + 3x + x       =    180
                            18x       =    180
                                x       =    10

        Second largest angle  =     6x
                                         = 6 ´ 10
                                         = 60

       Ans : B

5.    The amount that the person paid for six $6 shirts and
       one $ 24 shirt    =    6 ´ 6 + 24
                                =    36 + 24
                                =   60
       The number of such combinations
                                 =  
                                 =   10
       Total number of shirts purchased    =   70

       Ans : E

6.       x f y    =   x + y - xy
         12 f s   =   12 + s - 12s
               78   =     12 - 11 s
            11 s   =      12 - 78
            11 s   =      - 66
                 s   =     - 6

         Ans : C

7.     6 f 8    =   6 + 8 - 48
                    = 14 - 48
                    = - 34

       Ans : D

8.    a f b    =   a + b - ab
       1 f b    =    1 + b - 1 ´ b
                   =    1 + b - b
       1 f b    =   1

       Ans : A

9.   (64)^m      =     2^{m + 4}

      (2⁶)^m      =     2^{m + 4}

        2^6m       =      2^{m + 4}

      [Using the law of indices x^m   =   xⁿ ]

       6m   =   m + 4

       5m   =    4

        m    =    4/5

      Ans : C

10.  Perimeter of KLMO     =     2 (12 + 8)
                                           =    2 ´ 20
                                           =     40
       Perimeter of square      =     40

                                   4x    =    40
                                    x     =     10
       where x    =     a side of the square

       Ans : E

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