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Tuesday, March 5, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 83/159

Mathematics Test III Solution - Page 83

10. If 4 men can paint a fence in 2 days, what part of the job can be completed by one man in 8 days?

   1 whole job   x 1 man x 8 days
4 men x 2 days

 8 whole jobs 
          8

1 whole job *Ans.

11. Of John's salary, 1/10 is spent for clothing, and 1/4 for board and lodging. What part of the salary is left for other expenditures and savings?

Let x - be the part left.

x = 1 - ( 1  +  1 )
             10     4

  = 1 - (2 + 5)
              20

  =  20  -  7 
      20     20

  = 13 / 20 *Ans.

12. Which of the following fractions is closest to 1/3 ?

We can solve the problem by getting the LCM of the given fraction and all the chioces.

The LCM = 15 then compare the differences of each choice to 1/3.

1/3 - 1/5 = 5/15 - 3/15 = 2/15

2/5 - 1/3 = 6/15 - 5/15 = 1/5 *Ans.

2/3 - 1/3 = 10/15 - 5/15 = 10/15

3/5 - 1/3 = 9/15 - 5/15 = 4/15

13. Write 0.5 % as decimal.

To change % to decimal, we drop the % sign and move the decimal point two places to the left.

0.05 % = 0.005 *Ans.

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