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WAEC Further Mathematics 2022 Objective — Question 15

Question 15 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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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.

  • A. {20,21,25,30}
  • B. {21,25,27,33,35}Correct
  • C. {20,21,25,27,30,33,35}
  • D. {21,25,27}

Explanation

P={20,25,30}, Q={21,24,27,30,33}, R={21,23,25,27,29,31,33}. P∪Q={20,21,24,25,27,30,33}. Intersecting with R gives {21,25,27,33}.

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