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Civil Service Commission Professional or Sub-Professional Reviewer - Page 84/159

Mathematics Test III Solution - Page 84

14. If 10 parts of alcohol is mixed with 15 parts of water, what part of the mixture is alcohol ?

The part of the mixture is alcohol =      10    
                                                      10 + 15

                                                  =  10 
                                                      25

                                                  = 2/5 *Ans.

15. If 2/5 of the workers in a factory go on vacation is September and 1/3 of the remainder take their vacation in October, what fraction of the workers take their vacation in some other time?

The fraction of the workers that take their vacation in some other time

= 1 - [ 2  +  1  (1 -  2 )]
           5       3          5


= 1 - [ 2  +  1  ( 3 )]
          5       3    5


= 1 - [ 2  +  1  ]
           5      5

= 1 -  3 
          5

2  *Ans.
    5

16. A bill was passed by a vote of 7 : 5 . What part of the vote counts were in favor of the bill?

The part of the vote in favor of the bill :     7   
                                                            7 + 5

                                                         = 7 / 12 *Ans.

17. If a man travels for half of an hour at 60 km/hr, and for quarter of an hour for 120 km/hr, what is his average speed?

d1/2 =  1  hr. x  60 km  = 30 km
           2             hr


d1/4 =  1  hr. x  120 km  = 30 km
           4              hr

Average speed =  total distance 
                               total time

 ( 30 + 30 ) 
 ( 1  +  1 )
   2      4


 ( 30 + 30 ) km.
        3  hr.
        4

60 ( 4 ) kph
        3

Ave. Speed = 80 kph. *Ans.

Civil Service Reviewer Post 84/159