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A class has 40 students. 20 play cricket, 25 play hockey, and 7 play neither game. How many students play both games?
  1. 12
  2. 10
  3. 8
  4. None of these
Explanation

Total students = 40

Neither = 7

Students playing at least one game = 40 - 7 = 33

Formula:

n(C or H) = n(C) + n(H) - n(both)

33 = 20 + 25 - Both

33 = 45 - Both

Both = 45 - 33 = 12


Last verified on 04-11-2026

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