Question

The average score of a cricketer for 13 matches is 42 runs . If his average score for the first 5 matches is 54, then what is his average score (in runs) for last 8 matches ?
A. 37
B. 39
C. 34.5
D. 33.5

Answer 1

Correct Answer - C
Let `M_(1),M_(2) , M_(3) ,………………M_(13)` are 13 matches played by cricket players
`(M_(1) + M_(2) + … + M_(13))/(13)=42" "…(1)`
also, `(M_(1) + M_(2) + M_(3) + M_(4) + M_(5))/(5)=54" "…(2)`
From eqn. (1) and (2)
`270 + M_(6) + M_(7) + M_(8) + M_(9) + M_(10) + M_(11) + M_(12) + M_(13) = 42xx13 = 546`
or , `(M_(6) + M_(7) + M_(8) + M_(9) + M_(10) + M_(11) +M_(12) + M_(13))/(8)`
`=(276)/(8)=34.5`