UI Post-UTME Mathematics 2018 (Model questions) Question 39

Question 39

Sets

In a class of 40 students, 30 take agriculture and 20 take physics. If 8 students take neither agriculture nor physics, find the number of students who take agriculture but not physics

  1. A.13
  2. B.6
  3. C.12
  4. D.20
Show the answer and explanation

Answer: C (12)

Explanation

32 take at least one, so both = 30 + 20 − 32 = 18, and agriculture only = 30 − 18 = 12.