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M varies directly as n and inversely as the square of p. If M= 3...

Mathematics
WAEC 2022

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. \(\frac{3n}{2p^2}\)
  • B. \(\frac{2n}{3p^2}\)
  • C. \(\frac{2n}{3p}\)
  • D. \(\frac{3n^2}{2p^2}\)
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Correct Answer: Option A
Explanation

M = \(\frac{nk}{p^2}\) 

k →  \(\frac{mp^2}{n}\) =  \(\frac{3x1^2}{2}\)

k =  \(\frac{3}{2}\)

:  m = \(\frac{3xn}{2p^2}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995