Xavier Aptitude Test 2024 Paper

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 $\mathit{k}$-th over is the average number of runs scored in overs numbered $1,2,...,\mathit{k}$, where $1\le \mathit{k}\le 20,\mathit{k}$ 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 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
$\mathrm{N}-2$	8.00
N	7.43
$\mathrm{N}+2$	8.11
$\mathrm{N}+4$	8.45
$\mathrm{N}+6$	8.08