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JAMB Mathematics 2009 Question 10

Question 10

Sets

If x = {n2 + 1 : n is a positive integer and 1 ≤ n ≤ 5}, y = {5n : n is a positive integer and 1 ≤ n ≤ 5}, find x ∩ y.

  1. A.{5, 10}
  2. B.{5, 10, 15}
  3. C.{2, 5, 10}
  4. D.{5, 10, 15, 20}
Show the answer and explanation

Answer: A ({5, 10})

Explanation

x = {2, 5, 10, 17, 26} and y = {5, 10, 15, 20, 25}. The common elements are 5 and 10.