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Q: A batsman is out for 23 runs, which raises his average for the season from 15 to 16. How many runs would he have to score in that innings (in which he scored 23) to bring his average up to 18?
A. 33 B. 37
C. 39 D. 42

Answer and Explanation

Answer:39

Explanation:
Had the batsman scored 15 runs in the last inning, his average would have been constant at 15. He scores 8 runs more than 15, which raises his average by 1.
∴ The last must have been his 8 / 1 = 8th innings.
To raise his average by 3, he required to score 8 × 3 = 24 runs more than his previous average in the 8th innings => he need to score 39

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