The batting average for 30 innings of a cricket player is 40 runs. His highest s

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Question

The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is :

Options:

A . 18

B . 12

C . 15

D . 20

Answer: Option A
Answer: (a)Lowest score = x Highest score = x + 100∴ 28 × 38 + x + x + 100 = 30 × 40 ⇒ 1064 + 2x + 100 = 1200 ⇒ 2x = 1200 – 1164 = 36 ⇒ x = 18

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