Question

Question 25
Which of the following statements is always true?
(a) $\frac{x-y}{2}$ is a rational number between x and y.
(b) $\frac{x+y}{2}$ is a rational number between x and y.
(c) $\frac{x\ast y}{2}$ is a rational number between x and y.
(d) $\frac{x/y}{2}$ is a rational number between x and y.

Answer 1

Here, $\frac{x+y}{2}$ is a rational number.
Then, it always lies in between x and y either $x<y$ or $y<x$.

Hence, the correct option is (b).