Overall exam percentage: Mathew scored Biology 42, Chemistry 51, Mathematics 58, Physics 35, and English 48. The maximum in each subject is 60. What is Mathew’s overall percentage?
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A76%
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B82%
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C68%
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D78%
Answer
Correct Answer: 78%
Explanation
Introduction / Context:Overall percentage is computed as total obtained marks divided by total maximum marks multiplied by 100%. Summing subject-wise scores first avoids repeated percentage calculations and minimizes rounding error.Given Data / Assumptions:
- Scores: 42, 51, 58, 35, 48.
- Maximum per subject = 60; five subjects total maximum = 5 * 60 = 300.
Concept / Approach:Compute the aggregate and then the fraction of maximum. This one-step aggregate method is clearer than averaging individual percentages and then averaging again.
Step-by-Step Solution:
Total obtained = 42 + 51 + 58 + 35 + 48 = 234.Total maximum = 300.Overall percentage = (234 / 300) * 100% = 78%.Verification / Alternative check:Average per subject = 234/5 = 46.8. As a fraction of 60, 46.8/60 = 0.78 = 78%, consistent.
Why Other Options Are Wrong:
- 76%, 82%, 68%: Do not match 234/300 exactly.
Common Pitfalls:Miscalculating the total or maximum, or averaging percentages per subject incorrectly. Always compute with totals when all subjects have the same maximum.
Final Answer:
78%