Arithmatical - Average

DIRECTIONS : Problems based on Average.
34. The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
  A.  11
  B.  11.2
  C.  11.4
  D.  11.5
Solution
Middle number = [(10.5x6+11.4x6) - 10.9x11]
= (131.4 - 119.9)
= 11.5.
35. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
  A.  6.25
  B.  6.5
  C.  6.75
  D.  7
Solution
Required run rate= 282 - (3.2 x 10) / 40
= 250 / 40
= 6.25.

36. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
  A.  35 years
  B.  40 years
  C.  50 years
  D.  55 years
Solution
Sum of the present ages of husband, wife and child= (27x3+3x3) years
= 90 years.
Sum of the present ages of wife and child= (20x2+5x2) years
= 50 years.
∴ Husband's present age= (90 - 50) years
= 40 years.
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