WAEC Further Mathematics 2021 Question 15

Question 15

Sets and Logic

Given that P = {x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3}, and Q = {x: 0 ≤ x ≤ 36, x is an even number and a perfect square}, find P ∩ Q.

  1. A.{1, 4, 9, 36}
  2. B.{3, 9, 36}
  3. C.{9, 36}
  4. D.{36}
Show the answer and explanation

Answer: D ({36})

Explanation

P = {3, 6, 9, 12, 18, 36} and Q = {0, 4, 16, 36}. The only common member is 36.