GATE AG 2010 • Q59 MCQ • 2 Marks

Section 3: Farm Power

Farm Power

Subtopic: Thermodynamic principles of I.C. engines

Question Statement:

25 persons are in a room. 15 of them play hockey, 17 play football and 10 play both. The number of persons playing neither hockey nor football is

Options:

  • (A) 2
  • (B) 17
  • (C) 13
  • (D) 3

Official Answer Key:

D

Step-by-Step Solution & Explanation

By inclusion–exclusion, persons playing at least one sport = 15+17−10 = 22. Persons playing neither = total − 22 = 25 − 22 = 3.

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