Question
Which of the following is irrational?

Answer

  1. 0.1014001400014...
    Solution:
  1. $0.14=\frac{14}{100},$ which is a Rational number
  1. $0.14\overline{16}$ is non-terminating but repeating, hence a rational number
  1. $0.\overline{1416}$ is non-terminating but repeating, hence a rational number
  1. 0.1014001400014... is non-terminating as well as non-repeating number, which is irrational in nature.
    Hence, correct option is (d).

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