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Monday, March 4, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 107/159

Mathematics Test V Solution - Page 107

11. A housewife bought 3 kilograms of beef priced at $ 108.75 per kilogram. How much change did she receive from a five-hundred dollar bill?

Change = $ 500 - (3 x $ 108.75)
            = $ 500 - $ 326.25
            = $ 173.75 * Ans.

12. A delivery of 480 baskets of mangoes is divided into two fruit stands so that the difference between the two orders is 1/3 their average. What is the ratio of the smaller to the larger amount?

Let x - be the no. of baskets in the fruit stand.
Let 480 - x be the number in the second fruit stand.

(480 - x) - x =  1  (x + y)              ------> 480 - 2x = 80
                        3      2                  ------> 2x = 480 - 80
                                                    ------> 2x = 400
but x + y = 480    1  ( 480 )          ------>   x = 200                       480 - x = 280
since the total       3       2
delivery = 480

The ratio is  200  :  280   = 5 : 7 * Ans.
                      40       40

13. When the first and the last digits of 2, 836 are interchanged, the new number is ________.

6,832 -----> the new number
6,832 - 2836 = 3996

therefore, the new number is 3,996 more than 2,836 * Ans.

14. If twice the value of a certain number is increased by 8 the result is 40. What is the number?

Let x - be the number

2x + 8 = 40
      2x = 40 -8
      2x = 32
        x = 32 / 2
        x = 16 * Ans

15. In a group of 120 persons, there are 32 more women than men. How many women are there in the group?

Let x - be the number of women
Let x - 32 be the number of men

x + ( x - 32 ) = 120
         2x - 32 = 120
                 2x = 120 + 32
                 2x = 152
                   x = 152 / 2
                   x = 76 women * Ans.

Civil Service Reviewer Post 107/159