NABTEB Mathematics 2022 Objective — Question 9

Question 9 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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. M = 3n/(2p^2)Correct
B. M = 2n/(3p^2)
C. M = 2n/(3p)
D. M = 3n^2/(2p)

Explanation

M = kn/p^2. Substituting M=3, n=2, p=1: 3 = k(2)/1, so k=3/2. Thus M = (3/2)n/p^2 = 3n/2p^2.

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