In a 50 over cricket match team B scored 5 run per over till first 30 over. Now required run rate is 10 runs per over to win. What is score of team A?

Appeared in: NORCET 3 - 2022 (Shift-2)

Explanation

First, calculate the runs Team B scored in the initial 30 overs: 30 overs multiplied by a run rate of 5 gives 150 runs.
Next, calculate the runs Team B needs in the final 20 overs: 20 overs multiplied by the required run rate of 10 gives 200 runs.
The total score Team B must achieve to win (the target) is the sum of the runs scored and the runs needed, which is 150 + 200 = 350 runs.
In cricket, the winning target for the team batting second is always one run more than the score of the team that batted first.
Therefore, if the target for Team B is 350, Team A's score must be 350 - 1 = 349.

Option A: This is the number of runs Team B scored in the first 30 overs, not Team A's total score.
Option B: This is the number of additional runs Team B needs to score in the final 20 overs to win, not Team A's total score.
Option D: This is the target score for Team B to win the match. Team A's score is one less than the target.

Visual 1: No visual is required for this question type as it is a mathematical calculation.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating scores and run rates in a limited-overs cricket match as background academic context rather than a clinical decision trigger.
This type of question tests arithmetic skills (multiplication, addition, subtraction) and logical reasoning within a specific context.
Understanding basic sports rules, like cricket scoring, is a common component of the general knowledge and quantitative aptitude sections in competitive exams, including those for nursing positions.
What if? If the required run rate was 9 runs per over to win, Team B would need 20 * 9 = 180 more runs. The target would be 150 + 180 = 330, and Team A's score would be 329.

How to Approach the Question

First, break down the problem into parts: what has happened and what needs to happen.
Calculate the runs scored in the completed part of the innings: 30 overs × 5 runs/over = 150 runs.
Calculate the runs required in the remaining part of the innings: (50 - 30) overs × 10 runs/over = 200 runs.
Sum these two values to find the total score the chasing team needs to win (the target): 150 + 200 = 350 runs.
Apply the fundamental rule of cricket scoring: the target is one run more than the first team's score. Subtract 1 from the target to find the first team's score: 350 - 1 = 349.

Concept Tested & Keywords

Concept Tested: Calculating scores and run rates in a limited-overs cricket match.
Stem keywords: cricket match, 50 over, run rate, score
Lead-in keywords: What is score

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