JAMB Mathematics 2020 Objective — Question 33

Question 33 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

If P varies inversely as the cube of q and q varies directly as the square of r, what is the relationship between p and r?

A. P varies inversely as r^6Correct
B. P varies directly as r^6
C. P varies directly as r^3
D. P varies inversely as 6*sqrt(r)

Explanation

P is proportional to 1/q^3, and q is proportional to r^2. Substituting: P is proportional to 1/(r^2)^3 = 1/r^6, i.e. P varies inversely as r^6.

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