Question

If A.M of two terms is $9$ and H.M is $36$, then G.M will be

• A. $18$
• B. $12$
• C. $16$
• D. None of these

Answer 1

The correct option is A

$18$

Find the value of GM:

Given, AM $=9$

HM $=36$

As We know,

$\mathit{G}{\mathit{M}}^{\mathbf{2}}\mathbf{}\mathbf{=}\mathbf{}\mathit{A}\mathit{M}\mathbf{}\mathbf{\times }\mathbf{}\mathit{H}\mathit{M}$

$$\begin{gathered} =9\times 36 \\ =324 \end{gathered}$$

$\begin{array}{rcl}\therefore GM& =& \sqrt{324}\\ & =& \mathbf{18}\end{array}$

Hence, Option ‘A’ is Correct.