Change in AverageXAT Previous-Year Questions

3 previous-year questions on Change in Average from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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Change in Average · XAT PYQs

XAT 2024 · QA & DI
Passage / Data

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.

Over Number Run Rate
N - 2 8.00
N 7.43
N + 2 8.11
N + 4 8.45
N + 6 8.08

 

Q1.

What is the value of N?

XAT 2024 · QA & DI
Passage / Data

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.

Over Number Run Rate
N - 2 8.00
N 7.43
N + 2 8.11
N + 4 8.45
N + 6 8.08

 

Q2.

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

XAT 2024 · QA & DI
Passage / Data

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.

Over Number Run Rate
N - 2 8.00
N 7.43
N + 2 8.11
N + 4 8.45
N + 6 8.08

 

Q3.

In which of the following over numbers, the team MUST have scored the least number of runs?