What is the percentage of candidates who failed in <strong>AT LEAST</strong> two subjects?
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. 5.4%
- B. 6.4%
- C. 6.8%
- D. 7.8% ✓
Correct Answer: D. 7.8%
Explanation
Failed in exactly two = (15-5) + (17-5) + (17-5) = 10 + 12 + 12 = 34. Failed in all three = 5. Total failed in at least two = 34 + 5 = 39. Percentage = \frac{39}{500} \times 100 = 7.8\%.
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