Question

$\frac{\left(x+y\right)}{2}$ is a rational number ?

• A. Between $x$ and $y$.
• B. Less than $x$ and $y$. both
• C. Greater than $x$ and $y$ both
• D. Less than $x$ but greater than $y$.

Answer 1

The correct option is A

Between $x$ and $y$.

Explanation for the correct option.

The average value of any two numbers always lies between the two numbers.

Let us consider that $5$ and $7$are two rational numbers.

Then, $\frac{5+7}{2}=6$ will lies between $5$ and $7$.

Therefore, $\frac{\left(x+y\right)}{2}$ is a rational number lies between $x$ and $y$.

Hence, the option $A$ is correct.