Which of the following is irrational?
Question:

Which of the following is irrational?

(i) $0.14$

(ii) $0.14 \overline{16}$

(iii) $0 . \overline{1416}$

(iv) $0.1014001400014 \ldots$

Solution:

Given that

$0.14$

$0.141 \overline{6}$

$0 . \overline{416}$

$0.1014001400014 \ldots$

Here $0.1014001400014 \ldots .$ is non-terminating or non-repeating. So it is an irrational number.

Hence the correct option is $d$.