Question

What is the geometric mean of $6$ and $24$ ?

• A. $10$
• B. $12$
• C. $14$
• D. $16$

Answer 1

Answer: (B)

$12$

Assume $a,b,c$ in G.P.

then $\frac{b}{a}=\frac{c}{b}$

$\Rightarrow b^2=ac$

$\Rightarrow b=\sqrt{ac}$

so, $G.M=\sqrt{ac}$

$=\sqrt{6\times 24}$

$G.M=12$