Question

Two values yielded an arithmetic mean of $24$ and a harmonic mean of $6$. The geometric mean of these values is _______

• A. $8$
• B. $12$
• C. $14$
• D. $16$

Answer 1

The correct option is B $12$

Given that,

$A.M=24,H.M=6$

Using Formula we know that

$G{M}^2=AM\times HM$
$\Rightarrow GM=\sqrt{24\times 6}$
$=\sqrt{4\times 6\times 6}$
$=2\times 6$

$=12$

Hence the correct option is B.