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Question: Answered & Verified by Expert
If the AM and GM of two numbers are 5 and 4 respectively, then what is the HM of those numbers?
MathematicsSequences and SeriesNDANDA 2008 (Phase 2)
Options:
  • A $\frac{5}{4}$
  • B $\frac{16}{5}$
  • C $\frac{9}{2}$
  • D 9
Solution:
2122 Upvotes Verified Answer
The correct answer is: $\frac{16}{5}$
We know, $\mathrm{HM}=\frac{(\mathrm{GM})^{2}}{\mathrm{AM}}$
$\therefore \mathrm{HM}=\frac{16}{5}$

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