MasteryExams
Quantitative Aptitude • Percentage, Profit & LossHard

In an examination, 28% of the students failed in English, 19% failed in Mathematics and 14% failed in both. What percentage of students passed in both subjects?

A. 53%
B. 67%✓ Correct Answer
C. 39%
D. 14%

💡 Solution & Explanation

Students who failed in at least one subject = failed in English + failed in Mathematics − failed in both (they were counted twice) = 28 + 19 − 14 = 33%. So the students who passed in both = 100 − 33 = 67%. Forgetting to subtract the 14% who failed in both gives 53%, which is too low.

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