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UPSC CSE 2024 · PYQ · Set Theory / Venn Diagrams · medium

In an examination, 80% of students passed in English, 70% of students passed in Hindi and 15% failed in both the subjects. What is the percentage of students who failed in only one subject?

  1. A.15%
  2. B.20%✓ Correct
  3. C.25%
  4. D.35%

Explanation

Failed in English = 20%, failed in Hindi = 30%, failed in both = 15%. Failed in only English = 20 − 15 = 5%. Failed in only Hindi = 30 − 15 = 15%. Total failed in only one subject = 5 + 15 = 20%.
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