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JAMB Mathematics 2003 Question 11

Question 11

Sets

Given:
U = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)c

  1. A.{2,10,14,22,26}
  2. B.{0,10,14,22,26}
  3. C.{2,4,14,18,26}
  4. D.{0,2,6,22,26}
Show the answer and explanation

Answer: A ({2,10,14,22,26})

Explanation

P ∪ Q = {4, 6, 8, 12, 16, 18, 20, 24, 28}. The even numbers left over in U are {2, 10, 14, 22, 26}.