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Read the following scenario and answer the 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 kth over is the average number of runs scored in overs numbered \(1, 2, …, k,\) where \(1 \leq k \leq 20, k\) 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 \(1 \leq N – 2 < N + 6 \leq 20\), 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.
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 kth over is the average number of runs scored in overs numbered \(1, 2, …, k,\) where \(1 \leq k \leq 20, k\) 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 \(1 \leq N – 2 < N + 6 \leq 20\), 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 |
Question: 1
What is the value of N?
What is the value of N?
Updated On: Sep 16, 2024
- 7
- 13
- 14
- 9
- 12
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The Correct Option is A
Solution and Explanation
The correct option is (A): 7.
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Question: 2
In which of these pairs of over numbers, the team could have scored 22 runs in total?
In which of these pairs of over numbers, the team could have scored 22 runs in total?
Updated On: Sep 16, 2024
- 6 and 7
- 7 and 8
- 8 and 9
- 9 and 10
- 10 and 11
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The Correct Option is D
Solution and Explanation
The correct option is (D): 9 and 10.
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Question: 3
In which of the following over numbers, the team MUST have scored the least number of runs?
In which of the following over numbers, the team MUST have scored the least number of runs?
Updated On: Sep 16, 2024
- 7
- 8
- 9
- 10
- 11
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The Correct Option is A
Solution and Explanation
The correct option is (A): 7.
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