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Civil Service Commission Professional or Sub-Professional Reviewer - Page 99/159

Mathematics Test IV Solution - Page 99

27. If it takes h hours to paint the wall, what part of the wall is painted in one hour ?

part of the wall painted in 1 hour = 1 / h * Ans.

28. A sock of corn will feed 18 ducks for 54 days. How long will it feed 12 ducks ?

* This is an example of an inverse proportion problem. As the number of ducks decreases the number of days increases.

N :  1  = 54 :  1 
      12           18

N( 1 ) =  1  (54)
    18     12

                  27    3
N =  1  x 54 x 18 days
       12
        2

N = 81 days * Ans.

29. Find the next number in the series 1, 4, 9, 16, _____ ?

12 = 1
22 = 4
32 = 9
42 = 16
52 = 25 * Ans.

30. A bag is sold for $680 while marked at $800. What was the rate of the discount ?

rate of discount =     discount    x 100 %
                           marked price

                        =  800 - 680  x 100%
                                800
                 
                        =  120  x 100%
                            800

                        = 15 % * Ans.

31. Six hundred examinees passed the Licensure Examination last year. This represents the 8 ⅓ percent of the total examinees. How many examinees failed the exam?

let F - be the number of examinees who failed

8  ⅓ % : 600  =  ( 100 - 8  ⅓ ) % : F

 1  : 600 =  11  : F
12              12


 1  F =  11  ( 600 )
12        12

F = 6, 600 * Ans.

Civil Service Reviewer Post 99/159