Which of the following is irrational?
Question:

Which of the following is irrational?

(a) $0.15$

(b) $0.01516$

(c) $0 . \overline{1516}$

(d) $0.5015001500015$.

Solution:

Given decimal numbers are

$0.15,0.1516,0 . \overline{1516}$ and $0.501500115000115 \ldots$

Here the number $0.501500115000115 \ldots .$ is non terminating or non-repeating.

Hence the correct option is $d$.