Team B is chasing score, and need 10 run per over in next 20 overs. Find out the score of

team A?

Appeared in: Combined AIIMS - 2020 (Jodhpur, Bhopal, Patna, Raipur)

Explanation

The problem requires calculating a cricket score based on the required run rate for the chasing team.
First, calculate the total runs needed in the remaining overs: 20 overs × 10 runs/over = 200 runs.
A logical assumption is made for the score already made. Assuming 150 runs were scored in the first 30 overs, the total target score for Team B to win is 150 + 200 = 350 runs.
To win, the chasing team must score one more run than the first team. Therefore, Team A's score is the target score minus one: 350 - 1 = 349.

Option A: This score is too high. It would imply a target of 352, which doesn't align with the assumed scenario where Team B's current score is 150 (352 - 200 = 152).
Option B: This score is too low. It would imply a target of 349. For Team B to reach this target, they would need 199 more runs (349 - 150), which means a required run rate of 9.95, not 10.
Option D: This represents the target score for Team B to win the match, not the score posted by Team A.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving a word problem involving arithmetic and logic based on the rules of cricket as background academic context rather than a clinical decision trigger.
This question tests logical reasoning and arithmetic skills, which are essential for aptitude tests across various competitive exams.
The ability to break down a word problem into smaller, manageable steps is a key problem-solving skill.
What if the question stated Team B needed to tie the score? In that case, the target would be 349, and Team A's score would still be 349. Team B would need 199 runs in 20 overs.

How to Approach the Question

First, identify the core question: What was Team A's score?
Next, extract the given information: Team B needs 10 runs per over for 20 overs.
Calculate the total runs Team B needs to score in the remaining overs.
Recognize that information is missing (Team B's current score). State a logical assumption to proceed, such as assuming a standard 50-over match context.
Use your assumption to calculate the total target score for Team B.
Finally, apply the rule of cricket: Team A's score is always one less than the winning target. Select the option that matches this result.

Concept Tested & Keywords

Concept Tested: Solving a word problem involving arithmetic and logic based on the rules of cricket.
Stem keywords: chasing score, run per over, 20 overs
Lead-in keywords: Find out

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Practise the full Combined AIIMS - 2020 (Jodhpur, Bhopal, Patna, Raipur)

Attempt every question from this paper in a timed mock, then review the full solution for each one.