What is the percentage of candidates who failed in <strong>ONLY</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.

  1. A. 28%
  2. B. 31%
  3. C. 35.8%
  4. D. 38.8%

Correct Answer: B. 31%

Explanation

Candidates failing in only one subject = (English only) + (Hindi only) + (Math only) = 30 + 75 + 50 = 155. Percentage = \frac{155}{500} \times 100 = 31\%.

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