Which of the following is rational? - Vidyadip

MCQ

Which of the following is rational$?$

A
$\sqrt{3}$
B
$\pi$
C
$\frac{4}{0}$
✓
$\frac{0}{4}$

✓

Answer

Correct option: D.

$\frac{0}{4}$

$\sqrt{3}=1.732 \ ...=$ Non-terminating and non-repeating number, hence irrational
$\pi=3.14 \ ...$ also can not be terminated to $\frac{\text{p}}{\text{q}}$ form, and is non$-$terminating and non-repeating in nature. Hence, irrational.
$\frac{4}{0}$ is not a rational number because this is in the form $\frac{\text{p}}{\text{q}}$ where $p$ and $q$ are integers but $q = 0$
$\frac{0}{4}$ follows the defination of rational number.
Hence, correct option is $(d).$

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