Question

If A.M. and G.M. of two numbers are $16$ and $8$; then H.M. is

Answer 1

We know the relation between Arithmetic Mean, Harmonic Mean, and Geometric Mean of Two Numbers:

A.M. $\times$ H.M. $=$ (G.M.)${}^2$

$\Rightarrow 16\times$ H.M. $=8^2$

$\Rightarrow 16\times$ H.M. $=64$

$\Rightarrow$ H.M. $=4$