Question

The two geometric means between the numbers 1 and 64 are:

• A. 1 and 64
• B. 4 and 16
• C. 2 and 16
• D. 8 and 16
• E. 3 and 16

Answer 1

Answer: (B)

Let the GP series be $1,G_1,G_2,64$ Here, $a=1,n=4,l=64$ $\therefore$ $64={(r)}^3$ $\Rightarrow$ $r=4$ $\therefore$ $G_1=4$ and $G_2={1.4}^2=16$