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GCE Mathematics 2024 Objective — Question 2

Question 2 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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Given that P={p: 1<p<20}, where p is an integer and R={r: 0≤r≤25}, where r is a multiple of 4}. Find P∩R.

  • A. A. {4,8,10,16}
  • B. B. {4,8,12,16}Correct
  • C. C. {4, 8, 12, 16, 20}
  • D. D. {4,8, 12, 16, 20, 24}

Explanation

P={2,3,4,...,19}. R={0,4,8,12,16,20,24}. Since p is an integer while r is a multiple of four, the elements in the intersection are P∩R={4,8,12,16}.

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