Question

Which of the following is a true statement ?

(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.

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

Answer 1

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

Because the value of $\pi$ is neither repeating nor terminating, it is an irrational number. $\frac{22}{7}$, on the other hand, is of the form $\frac{p}{q}$, so it is a rational number.