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MCQ practice · SSC Higher Mathematics Board questions · Chapter 1: Set and Function

Rajshahi Board 2024

Among some people, 70 like football, 50 like cricket and 40 like both. How many like at least one of the two games?

Think it through first, then pick an option.

  1. a 70
  2. b 80
  3. c 120
  4. d 160
Answer and explanation

Correct answer: b 80

70 + 50 − 40 = 80.

Why the other options are wrong

  • a 70: 70 is just the football fans; the 10 cricket-only people are missing.
  • c 120: 120 = 70 + 50 counts the 40 who like both twice.
  • d 160: 160 = 70 + 50 + 40 adds the overlap again instead of removing it.