A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percentage of his total score did he make by running between the wickets?

1. A

   45%

2. B

   55%

3. C

   60%

4. D

   40%

Appeared in: NORCET 6 mains-2024

Explanation

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• First, calculate the total runs from boundaries (3 × 4 = 12) and sixes (8 × 6 = 48), which sum to 60 runs.
• Next, determine the runs scored by running by subtracting the runs from hits from the total score: 110 - 60 = 50 runs.
• Finally, calculate the percentage of the total score that came from running: (50 / 110) × 100 ≈ 45.45%.
• The closest whole number option to 45.45% is 45%.

Why Other Options Were Wrong

• Option B: This is the approximate percentage of runs scored from boundaries and sixes (60/110 ≈ 54.5%), not from running.
• Option C: This value (60) represents the total number of runs scored from boundaries and sixes, not a percentage of the total score.
• Option D: This is an incorrect calculation. It might result from rounding down incorrectly or a calculation error.

Related Visual

• Visual 1: Infographic: A pie chart showing the breakdown of the 110 runs into three categories: Runs from Boundaries (12), Runs from Sixes (48), and Runs from Running (50), with their corresponding percentages.

Clinical Relevance

• Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Percentage Calculation as background academic context rather than a clinical decision trigger.
• This question assesses basic mathematical skills, specifically the ability to calculate percentages, which is a fundamental skill required in many fields.
• Understanding how to break down a total into its component parts and express them as percentages is crucial for data analysis and interpretation.
• What if the batsman scored 120 runs with the same number of boundaries and sixes? The runs from running would be 120 - 60 = 60. The percentage would then be (60/120) * 100 = 50%.

How to Approach the Question

• First, carefully read the question to identify all the given values: total score, number of boundaries, and number of sixes.
• Identify the goal of the question: to find the percentage of the total score made by running.
• Calculate the total runs scored from boundaries and sixes (remember a boundary is 4 runs and a six is 6 runs).
• Subtract the runs from boundaries and sixes from the total score to find the runs made by running.
• Use the formula for percentage: (Part / Whole) × 100. Here, the 'Part' is the runs from running and the 'Whole' is the total score.
• Calculate the final value and compare it with the given options to find the closest match.

Concept Tested & Keywords

• Concept Tested: Percentage Calculation
• Stem keywords: batsman, scored 110 runs, 3 boundaries, 8 sixes, running between the wickets
• Lead-in keywords: What percentage

Question ID

Q7vYBHUobVsHvZh9Ct3x51

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