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Civil Service Commission Professional or Sub-Professional Reviewer - Page 92/159

Mathematics Test III Solution - Page 92

47. A piece of wire is cut into three, so that the first is three times as long as the second and the second is three times as long as the third. What part of the entire piece is the shortest?

First part = 9x
Second part = 3x
Third part = x

9x + 3x + x = 13x

part =  length of the shortest part 
              length of entire wire

       =   x  
          13x

       = 1 / 13 * Ans.

48. What is the average of the first 20 positive integers ?

Average =  sum of the numbers 
                numbers of items added

              =  1 + 2 + + 3 + 4 + 5 + 6 + 7 .... + 20 
                                            20

              = 10.5 * Ans.

49. A sales representative earns 5% commission on all sales between $ 20, 000 and $ 60, 000, and 8% on all sales over $ 60,000. What is the commission in a week in which her total sales was $ 80, 000 ?

Commission = 5% (6000) + 8% (80,000 - 60,000)

                    = 0.05 (60,000) + 0.08 (20,000)

                    = 3,000 + 1,600

                    = $ 4, 600 * Ans.

        _________
50.  /  12  +  12 
    √    27      9

        _________
       /   4  +   4 
    √    9       3

        _________
       /   4  +  12 
    √          9
        _____
       /   16 
    √     9

= 4 / 3 * Ans.

Civil Service Reviewer Post 92/159