Which of the following is a true statment? - Vidyadip

MCQ

Which of the following is a true statment$?$

A
$\pi$ and $\frac{22}{7}$ are both rationals.
B
$\pi$ and $\frac{22}{7}$ are both irrationals
C
$\pi$ is rational and $\frac{22}{7}$ is irrational.
✓
$\pi$ is irrational and $\frac{22}{7}$ is rational.

✓

Answer

Correct option: D.

$\pi$ is irrational and $\frac{22}{7}$ is rational.

A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called an irrational number.
So, $\pi=3.141592...$ is irrational.
The numbers of the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0,$ are known as rational numbers.
So, $\frac{22}{7}$ is rational.
Hence, the correct option is $(d).$

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