Question:
A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is
A batsman played n + 2 innings and got out on all occasions. His average score in these n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first n innings. In these n innings, his average score was 30 runs and lowest score was x runs. The smallest possible value of x is
Updated On: Aug 21, 2024
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The Correct Option is A
Solution and Explanation
The correct answer is (A): \(2\)
Total score in \((n+2)\) inning = \(29×(n+2)\)
The total score in n innings = \(29(n+2)-38-15\)
= \(29n+5=30n ⇒ n=5\)
Total score in \(5\) innings = \(30×5=150=37×4+2\)
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