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?

1. A

   350

2. B

   349

3. C

   200

4. D

   150

Appeared in: HPSSC - 2015

Explanation

• First, calculate the total runs Team B needs to win. In the first 30 overs, they scored 30 overs × 5 runs/over = 150 runs.
• For the remaining 20 overs (50 - 30), they need to score at a rate of 10 runs/over, which is 20 overs × 10 runs/over = 200 runs.
• Team B's total winning score (the target) is the sum of these two amounts: 150 runs + 200 runs = 350 runs.
• In cricket, the winning target is always one run more than the opponent's score. Therefore, Team A's score is the target minus one: 350 - 1 = 349.

Why Other Options Were Wrong

• Option A: This is the total score Team B needs to achieve to win the match (the target), not the score of Team A.
• Option C: This is only the number of runs Team B needs to score in the final 20 overs, not the total score of Team A.
• Option D: This is the number of runs Team B had already scored in the first 30 overs.

Related Visual

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating target scores and required run rates in a limited-overs cricket match as background academic context rather than a clinical decision trigger.
• This type of calculation is common in aptitude tests and requires breaking a problem down into smaller, manageable parts.
• Attention to detail is crucial, such as understanding the specific rules of the context (in this case, cricket scoring) to arrive at the correct final answer.
• What if? If the required run rate was 8 runs per over for the last 20 overs, Team B would need 20 × 8 = 160 more runs. The target would be 150 + 160 = 310, and Team A's score would be 309.

How to Approach the Question

• First, identify all the given information: total overs, overs played, run rate for the played overs, and required run rate for the remaining overs.
• Calculate the runs already scored: Multiply the overs played by the run rate for that period (30 overs × 5 runs/over).
• Calculate the runs needed in the remaining overs: First find the remaining overs (50 - 30), then multiply by the required run rate (20 overs × 10 runs/over).
• Sum the runs from both phases to find the total score the chasing team needs to win. This is the 'target'.
• Recall the rule of cricket: The target to win is one more than the first team's score. Subtract 1 from the target to find the score of the first team (Team A).
• Compare your final calculated score with the given options.

Concept Tested & Keywords

• Concept Tested: Calculating target scores and required 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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