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Question

Before his last match, Suresh's average score was 54 . In his last match, he scored 60 runs which increased his average to 55 . What runs must he score in his next match to increase his average to 56?

A
56
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B
62
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C
70
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D
68
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Solution

The correct option is B 62
Let X be the number of matches played by Suresh till his last match

Then total score = 54 × X

After his last match, total score = 54 × X + 60 = 55 × (X + 1)

So, X = 5

Let N be the runs scored in the next match,

56 × (5 + 2) = N + 55 × (5 + 1)

⇒ 392 = N + 330

⇒ N = 62

Hence, option B is the correct answer.

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