Consider the following for the next four (04) items that follow: In a group of 500 candidates, 30 failed in English only, 75 failed in Hindi only, 50 failed in Mathematics only, 15 failed in both English and Hindi (inclusive), 17 failed in both English and Mathematics (inclusive), 17 failed in both Hindi and Mathematics (inclusive), and 5 failed in all three subjects. What is the percentage of candidates who failed in at least one subject?
- A31%
- B35.4%
- C38.8%
- D41.5%
Explanation
By inclusion-exclusion, those failing exactly two subjects are (15-5) + (17-5) + (17-5) = 10 + 12 + 12 = 34, since the 'inclusive' pair counts contain the 5 who failed all three. Adding the 155 single-subject and 5 all-three failures gives 194 candidates failing at least one subject. That is 194/500 = 38.8%, option (c).