The batting average of a cricket player for 64 innings is 62 runs. His highest s

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The batting average of a cricket player for 64 innings is 62 runs. His highest score exceeds his lowest score by 180 runs. Excluding these two innings, the average of remaining innings becomes 60 runs. His highest score was

Options:

A . 209 runs

B . 214 runs

C . 180 runs

D . 212 runs

Answer: Option B
Answer: (b)Let the cricketer’s highest score be x runs. ∴ 60 × 62 + x + x – 180 = 64 × 62 ⇒ 3720 + 2x – 180 = 3968 ⇒ 2x = 428 ⇒ x = 214 runs

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