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UI Post-UTME Mathematics 2018 (Model questions) Question 13

Question 13

Sets

In a class of 40 students, 15 offer physics, 20 offer history and 3 offer both physics and history. How many students offer neither physics nor history?

  1. A.2
  2. B.3
  3. C.5
  4. D.8
Show the answer and explanation

Answer: D (8)

Explanation

At least one subject: 15 + 20 − 3 = 32, so neither = 40 − 32 = 8.