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XAT Previous Year Paper | XAT QADI Questions | Question 22

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Read the following scenario and answer the THREE questions that follow.

A T20 cricket match consists of two teams playing twenty overs each, numbered 1 to 20. The runs scored in any over is a non-negative integer. The run rate at the end of any over is the average runs scored up to and including that over, i.e., the run rate at the end of the k-th over is the average number of runs scored in overs numbered 1, 2, …, k, where 1 ≤ k ≤ 20, k a positive integer.

The following table indicates the run rate of a team at the end of some of the overs during a T20 cricket match (correct up to 2 decimal places), where 1 ≤ N – 2 < N + 6 ≤ 20, N a positive integer. It is also known that the team did not score less than 6 runs and more than 15 runs in any over.

Question 22 : In which of these pairs of over numbers, the team could have scored 22 runs in total?

  1. 8 and 9
  2. 6 and 7
  3. 7 and 8
  4. 9 and 10
  5. 10 and 11

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Explanatory Answer

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The question is " In which of these pairs of over numbers, the team could have scored 22 runs in total? "

Hence, the answer is '9 and 10'

Choice D is the correct answer.

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