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JAMB Mathematics 1992 Question 8

Question 8

Sets

If x = (all prime factors of 44) and y = (all prime factors of 60), the element of x∪y and x∩y respectively are

  1. A.{2, 4, 3, 5, 11} and {4}
  2. B.{4, 3, 5, 11} and {3, 4}
  3. C.{2, 5, 11} and {2}
  4. D.{2, 3, 5, 11} and {2}
Show the answer and explanation

Answer: D ({2, 3, 5, 11} and {2})

Explanation

44 = 22 × 11, so x = {2, 11}; 60 = 22 × 3 × 5, so y = {2, 3, 5}. The union is {2, 3, 5, 11} and the intersection is {2}.