Arithmatical - Average

DIRECTIONS : Problems based on Average.
11. The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches?
  A.  33.25
  B.  33.5
  C.  34.25
  D.  35
Solution
Required average=(38.9 x 10)-(42 x 6)/ 4
= 137 / 4.
= 34.25
12. A library has an average of 510 visitors on sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a sunday is
  A.  250
  B.  276
  C.  280
  D.  285
Solution
since the month begins with a sunday , so there will be five sundays in the month.
Required Average= (510x5+240x25 / 30)
= (8550 / 30)
= 285

13. The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is Z, then
  A.  x = y + z
  B.  2x = y + z
  C.  x = 2y + 2z
  D.  None of these
Solution
Clearly, we have X =(3y+3z/6)
or
2x= y + z
14. A motorist travel to a place 150 km away at an avearge speed of 50 km/hr and returns ar 30 km/hr. His average speed for the whole journey in km/hr is
  A.  35
  B.  37
  C.  37.5
  D.  40
Solution
Average Speed= (2xy/x +y )km/hr
=(2x50 x30/ 50+30)
= 37.5 km/hr.
15. The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. The average age of the family now is
  A.  19 years
  B.  23 years
  C.  28.5 years
  D.  29.3 years
Solution
Sum of the present ages on husband, wife and child=(23x2+5x2)+1
= 57 years
Required average
= (57/3)
= 19 years.
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