Question

Find the value of x such that $\frac{-11}{x}$ is not a rational number.

• A. 1
• B. 2
• C. -1
• D. 0

Answer 1

The correct option is D

0

A number which can be written in the form $\frac{p}{q}$ , where p and q are integers and q ≠ 0 is called a rational number.

By the above definition, $\frac{p}{q}$ can be a rational number only when q ≠ $0$.

So, for the given fraction to be not a rational number, x should be zero.

For all the other given values of x, we will obtain a rational number.

For example, when x = 1,
$\frac{-11}{x}=\frac{-11}{1}=-11$

when x = 2,
$\frac{-11}{x}=\frac{-11}{2}=-5.5$

when x = -1,
$\frac{-11}{x}=\frac{-11}{-1}=11$