In a 50-over cricket match, a team scored at a run rate of 3.2 runs/over in the first 10 overs. If the target is 282 runs in 50 overs, what run rate (runs/over) is required in the remaining 40 overs to reach the target?

Introduction / Context:This question tests basic rate, time, and target calculations commonly used in cricket-based aptitude problems. Run rate is simply runs per over, so you can convert the first-phase run rate into runs scored and then find the required run rate for the remaining overs.

Given Data / Assumptions:

• Total overs = 50
• Target runs = 282
• First 10 overs run rate = 3.2 runs/over
• Remaining overs = 40

Concept / Approach:Runs scored in a phase = run rate * number of overs. Required run rate in remaining overs = remaining runs / remaining overs. Keep units consistent (runs and overs).

Step-by-Step Solution:

Verification / Alternative check:At 6.25 runs/over for 40 overs, runs scored would be 6.25*40 = 250. Adding first 10 overs runs: 250 + 32 = 282, exactly the target.

Why Other Options Are Wrong:

Common Pitfalls:Using remaining overs as 39 or 41 by mistake, or subtracting the first-phase run rate instead of converting it to runs scored. Also, ensure the match is 50 overs as stated.

Final Answer:6.25 runs/over