In a one day cricket match of 50 overs per innings, Team A scores at a run rate of 5.3 runs per over in its full 50 overs. Team B is chasing this score and, with 5 overs left to play, the required run rate to tie the match is 7.2 runs per over. What is the current score of Team B at the end of the 45th over?

Introduction / Context:
This question combines average rate concepts with a cricket run chase scenario. Team A has already batted and scored at a steady run rate. Team B is chasing and we are told the required run rate in the final overs to tie the match. From this information, we must find Team B current score after 45 overs. This type of question is common in quantitative aptitude sections involving sports contexts.

Given Data / Assumptions:
- Total overs in an innings = 50.
- Team A run rate over 50 overs = 5.3 runs per over.
- Team A therefore bats full 50 overs.
- Team B is chasing Team A total.
- After 45 overs, 5 overs remain for Team B.
- Required run rate in the remaining 5 overs to tie the match = 7.2 runs per over.
- We must find Team B score at the end of the 45th over.

Concept / Approach:
First, calculate Team A total runs from its run rate. This becomes the target to tie for Team B. Next, compute how many runs Team B needs to score in the final 5 overs using the required run rate. Subtract this required number of runs from the target to obtain Team B current score after 45 overs. This is a direct application of the relationship total runs = run rate * overs.

Step-by-Step Solution:
Step 1: Team A total runs = 5.3 runs per over * 50 overs.Step 2: Compute Team A total: 5.3 * 50 = 265 runs.Step 3: To tie the match, Team B must also score 265 runs.Step 4: Required run rate for the last 5 overs is 7.2 runs per over.Step 5: Runs needed in the last 5 overs = 7.2 * 5 = 36 runs.Step 6: Therefore, Team B current score after 45 overs must be 265 - 36 = 229 runs.Step 7: So Team B is on 229 runs at the end of the 45th over.

Verification / Alternative check:
If Team B is on 229 at 45 overs, and then scores 36 runs in the last 5 overs at 7.2 runs per over, their final total is 229 + 36 = 265, which exactly equals Team A total. This corresponds to a tie, matching the problem statement that 7.2 is the required rate to tie the match. Hence the current score of 229 is consistent.

Why Other Options Are Wrong:
If Team B score were 238, then to reach 265 they would need 27 runs from 5 overs, implying a required rate of 5.4 runs per over, not 7.2. If the score were 254, they would need only 11 runs from 5 overs, which is 2.2 runs per over. A score of 265 would already tie the match before the final 5 overs. The value 229 alone produces exactly 36 runs needed and a required run rate of 7.2.

Common Pitfalls:
Some students mistakenly treat 7.2 as the run rate over the entire inning instead of just the last 5 overs. Others forget that a tie means equal scores and not exceeding the target. Always work logically: compute the target, compute runs required in the remaining overs from the required rate, and then subtract from the target to obtain the current score.

Final Answer:
Team B score at the end of the 45th over is 229 runs.