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Civil Service Commission Professional or Sub-Professional Reviewer - Page 101/159

Mathematics Test IV Solution - Page 101

36. The ratio of men athlete to women in an athletic meet is 5 : 3 and the total number of athlete is 2, 400, how many additional women athlete would have to join to make the ratio of men to women 1 : 1 ?

Original number of men;

( 5 / 8 ) x 2, 400  =  1, 500

Original number of women;

( 3 / 8 ) x 2, 400  =  900

To make the number of women equal to the number of men we must add ( 1500 - 900 ).

therefore, 600 women is needed. * Ans.

37. If prices are reduced by 20 %, quantity sold increase by 25 %. What is the net effect on the gross revenue?

Revenue = (price) x (Quantity sold)

Rold = pq
Rnew = (p - 0.20p) x (q x 0.25q)
         = (0.80p)(1.25) pq
         = (0.80)(1.25) pq
         = 1 pq
Rnew = Rold

therefore, the revenue remains the same * Ans.

38. The average of three numbers is xyz. If the sum of two numbers is x + y, what is the other number?

 Sum of the items added    =   average
    no. of items added

 x + y + (other number)    = xyz
                 3


3[ x + y + (other number)    = xyz ] 3
                 3


 x + y + other number      =  3  xyz

             other number      = 3 xyz - (x + y) * Ans.

Civil Service Reviewer Post 101/159