Question

If p is the arithmetic mean of the positive numbers a and b, and the reciprocal of the number q is the arithmetic mean of the reciprocals of a and b. Then p – q =?

• A.
• B.
• C.

Answer 1

The correct option is B

Let a=2 and b=4, then p=3

$\frac{1}{2}+\frac{1}{4}=\frac{3}{4}$

Arithmetic mean = $\frac{3}{8}$.

Hence q=$\frac{8}{3}$.

P-Q= $3-\frac{8}{3}$= $\frac{1}{3}$.

ook where you are getting $\frac{1}{3}$ in the answer options. Answer is option (b)