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Unilorin Post-UTME Mathematics 2014 (Model questions) Question 30

Question 30

Sets

In a class, 37 students takes at least one of Chemistry, Economics and Government. 8 students take Chemistry, 19 take Economics and 25 take Government. 12 students take Economics and Government but nobody takes Chemistry and Economics. How many students take both Chemistry and Government?

  1. A.3
  2. B.4
  3. C.5
  4. D.6
Show the answer and explanation

Answer: A (3)

Explanation

37 = 8 + 19 + 25 − 12 − 0 − x (no one takes all three, since no one takes Chemistry and Economics), so x = 3.