WAEC Mathematics 2012 Question 37

Question 37

Sets

If P = {prime factors of 210} and Q = {prime numbers less than 10}, find P∩Q.

  1. A.{1, 2, 3}
  2. B.{2, 3, 5}
  3. C.{1, 3, 5, 7}
  4. D.{2, 3, 5, 7}
Show the answer and explanation

Answer: D ({2, 3, 5, 7})

Explanation

210 = 2 × 3 × 5 × 7, so P = {2, 3, 5, 7} = Q, and P∩Q = {2, 3, 5, 7}.