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JAMB Mathematics 2019 Objective — Question 23

Question 23 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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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 r⁶Correct
  • B. P varies directly as r⁶
  • C. P varies directly as r³
  • D. P varies inversely as 6√r

Explanation

P∝1/q³ and q∝r², so q³∝(r²)³=r⁶, giving P∝1/r⁶ — P varies inversely as r⁶.

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