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Tuesday, March 5, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 89/159

Mathematics Test III Solution - Page 89

35. A basketball team has won 24 games out of 36 games played. It has 24 more games to play. How many ofthese must the team win to make its record 80% for the season ?

The total number of wins = 80% x (total no. of games played)
                                      = 0.80 x ( 36 + 24 )
                                      = 0.80 ( 60 )
                                      = 48

Since they already won 24 games, they need to win 24 more games. * Ans.

36. If prices are reduced by 25% sales increased by 33 ⅓  % what is the net effect on gross revenue ?

Revenue = price x no. items sold
R = P x N

Rorig = PN

If prices are reduced by 25%

Rnew = ( P - 25% P) ( N + 33 ⅓  N )

         = ( P - ¼ P ) ( N + ⅓ N )

         = ( ¾ P ) ( 4/3 N )

Rnew = PN
Rnew = Rorig

The revenues remain the same * Ans.

37. An 8-meter rope is cut so that one part is 3/5 of the other. How long in meters, is the shorter segment ?

Let x - be the length of the shorter rope.
Let 8 - x be the length of the larger rope

x =  3  ( 8 - x )
       5

5x = 3 ( 8 - x )
5x = 24 - 3x
5x + 3x = 24
8x = 24
x = 3 meters * Ans.

38. When the gasoline guage of an automobile shows 1/8 full, 52.5 liters is needed to completely fill the gasoline tank. What is the capacity, in liters of the gasoline tank?

Let x - be the capacity in liters

x -  1 x = 52.5
      2

 7 x = 52.5
 8

x = 52.5 ( 8 )
                7

x = 60 * Ans.

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