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Tuesday, March 5, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 78/159

Mathematics Test II Solution - Page 78

37. Every seat in a bus was taken and 7 people were standing. At the next stop 15 people got off and 3 got on. How many seats were empty after this stop if everyone was seated?

Let x - be the number of seats

No. of people = x + 7 -15 + 3              No. of empty seats      = x - (x - 5)
No. of people = x - 5                            No. of empty seats      = x - x + 5
                                                             No. of seats                = 5 *Ans.


38. A boy scored 134, 145, and 150 in his first 3 games. What score must he make on his next game so that his average for the four games will be 149?

x - must be score in the fourth game

 x + 134 + 150 + 145  = 149
                  4

x + 429 = 4 (149)

x + 429 = 596

x = 596 - 429

x = 167 *Ans.

39. Angelo can type 9 pages in 12 minutes. How many pages can he type in 8 hours at the same rate?

P - no. of pages :

    P   x     1 hr    =  9 pages 
 8 hrs    60 mins      12 mins

  P   =   9 
480     12

P =  9  (480)
      12
 
   = 9 (40)

   360 *Ans.

40. Girlie starts cleaning the yard at 10 AM and by 11:20, she has finished 4/5 of it. If she continues working at the same rate, at what time will she finish cleaning the yard?

Time elapse from 10 AM to 11:20 AM is 1 hour and 20 minutes which is = 80 minutes.

 4  :  80 minutes =  1  : x
 5                          5

 4 x = 80 ( 1 )
 5              5

x = 80 ( 1 )  5 
             5    4

   = 20 minutes

therefore, 20 minutes after 11:20 AM is 11:40 AM *Ans.

Civil Service Reviewer Post 78/159