WAEC Further Mathematics 2022 Question 15

Question 15

Sets and Logic

Given that P = {x : x is a multiple of 5}, Q = {x : x is a multiple of 3} and R = {x : x is an odd number} are subsets of μ = {x : 20 ≤ x ≤ 35}, find (P ∪ Q) ∩ R.

  1. A.{20, 21, 25, 30, 33}
  2. B.{21, 25, 27, 33, 35}
  3. C.{20, 21, 25, 27, 33, 35}
  4. D.{21, 25, 27, 30, 33, 35}
Show the answer and explanation

Answer: B ({21, 25, 27, 33, 35})

Explanation

P = {20, 25, 30, 35}, Q = {21, 24, 27, 30, 33}. Their union's odd members are 21, 25, 27, 33, 35.