2022 · Q97
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 two subjects?
Elementary MathematicsSet Theory
- A5.4%
- B6.4%
- C6.8%
- D7.8%
Explanation
Failed in at least two: (15-5)+(17-5)+(17-5)+5 = 39 candidates, i.e. 7.8%. The word 'inclusive' means the all-three group must be subtracted from each pair count - the common error. Hence the keyed option is D.