NORCET 3 - 2022 (Shift-1)
Quantitative Aptitude and Mathematics
Medium

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-1)

Explanation

  • First, calculate the runs Team B scored in the initial 30 overs: 30 overs × 5 runs/over = 150 runs.
  • Next, calculate the runs required in the remaining 20 overs (50 - 30): 20 overs × 10 runs/over = 200 runs.
  • The total target for Team B to win is the sum of these two amounts: 150 + 200 = 350 runs.
  • In cricket, the winning target is always one run more than the score of the team that batted first. Therefore, Team A's score is the target (350) minus 1, which is 349.

Why Other Options Were Wrong

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

Related Visual

Infographic: A step-by-step calculation showing 30 overs 5 runs + 20 overs 10 runs \= 350 target, then 350 - 1 \= 349 score.
  • Visual 1: Infographic: A step-by-step calculation showing (30 overs * 5 runs) + (20 overs * 10 runs) = 350 target, then 350 - 1 = 349 score.
Clinical Relevance
  • Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculating scores and targets in a limited-overs cricket match based on run rates as background academic context rather than a clinical decision trigger.
  • Understanding how run rates and targets work is fundamental to following and analyzing limited-overs cricket matches.
  • This type of calculation is a practical application of basic arithmetic (multiplication and addition) in a real-world scenario.
  • What if the required run rate was 8 runs per over? The required runs would be 20 * 8 = 160. The target would be 150 + 160 = 310, and Team A's score would be 309.
How to Approach the Question
  • Identify the known values: total overs (50), overs played (30), initial run rate (5), and required run rate (10).
  • Break the problem into parts. First, calculate the runs scored in the completed phase of the innings.
  • Second, calculate the runs needed in the remaining phase of the innings.
  • Sum these two values to find the total winning target.
  • Finally, apply the specific rule of cricket: the opponent's score is one less than the winning target. Subtract 1 from the target to find Team A's score.
Concept Tested & Keywords
  • Concept Tested: Calculating scores and targets in a limited-overs cricket match based on run rates.
  • Stem keywords: cricket match, 50 over, run rate, score
  • Lead-in keywords: What is
  • Negative lead-in flag: false

Question ID

Q67g77FmjG54YnqZ7cARy4

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