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WAEC Mathematics 2022 Objective — Question 9

Question 9 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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M varies directly as n and inversely as the square of p. If M=3 when n=2 and p=1, find M in terms of n and p.

  • A. 3n/2p²Correct
  • B. 2n/3p²
  • C. 2n/3p
  • D. 3n²/2p

Explanation

M = kn/p². With M=3, n=2, p=1: 3 = k(2)/1, so k=3/2. M = (3/2)n/p² = 3n/2p².

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