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Civil Service Commission Professional or Sub-Professional Reviewer - Page 74/159

Mathematics Test II Solution - Page 74

21. 126 is 3/7 of what number?

 3 N = 126
 7

    N = 126 ( 7 )
                    3
    N = 882 / 3

    N = 294 *Ans.

22. A roll of ribbon 51 yards long is to be divided into 408 equal parts. How many inches is the length of each part?

1 YARD = 36 INCHES

N = 51 yards x  36 inches ÷ 408 parts
                            yards

    = 51 x 36 x   1   inches/part
                      408

    = 4.5 inches / part *Ans.

23. A water tank is 7/8 full. When 21 liters of water is drawn out, the tank is 5/8 full. What is the total capacity of the tank in liters?

Let x - be the total capacity of the tank.

 7 x - 21 =  5 x
 8               8


 7 x -  5 x = 21
 8       8

 2 x = 21
 8

 1 x = 21
 4

x = 21 ( 4 )
             1

x = 21(4)

x = 84 *Ans.

24. A painter completes 2/9 of a job in 3 days. At this rate, how many more days will it take him to finish the job?

Let x - be the remaining of days to finish the job.

 2  : 3 =  7  : x               7  is  part of the job that is unfinished. 1 -  2  =  7 
 9           9                    9                                                              9      9

 2 x = 3( 7 )
 9           9


 2 x =  21 
 9         9

 x =  21  ( 9 )
         9     2

x =  21 
        2

x = 10.5 days *Ans.

Civil Service Reviewer Post 74/159