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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
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- 180 runs
- 209 runs
- 212 runs
- 214 runs
- 180 runs
Correct Option: D
Let the cricketer’s highest score be n runs.
The batting average of a cricket player for 64 innings = 62 runs
According to question ,
∴ 60 × 62 + n +n – 180 = 64 × 62
⇒ 3720 + 2n – 180 = 3968
⇒ 2n = 428
⇒ n = 214 runs
