What is the percentage of candidates who failed in <strong>AT LEAST</strong> one subject?
Consider the following data:<br>500 candidates appeared in an examination comprising tests in English, Hindi and Mathematics. 30 candidates failed in English <strong>ONLY</strong>; 75 failed in Hindi <strong>ONLY</strong>; 50 failed in Mathematics <strong>ONLY</strong>; 15 failed in <strong>BOTH</strong> English and Hindi; 17 failed in <strong>BOTH</strong> Hindi and Mathematics; 17 failed in <strong>BOTH</strong> Mathematics and English; 5 failed in <strong>ALL</strong> three tests.
- A. 31%
- B. 35.4%
- C. 38.8% ✓
- D. 41.5%
Correct Answer: C. 38.8%
Explanation
Failed in at least one = (Only one) + (At least two) = 155 + 39 = 194. Percentage = \frac{194}{500} \times 100 = 38.8\%.
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