Question
Which of the following is irrational?

Answer

  1. 0.5015001500015.
    Solution:
  1. $0.15=\frac{15}{100}=$ Rational number
  2. $0.1516=\frac{1516}{100000}=$ Rational number
  3. $0.\overline{1516}$ is a Non-terminating Repeating number = Rational number.
  4. 0.5015001500015. is a Non-terminating, Non-Repeating decimal number, So is a irrational number.
    Hence, option (d) is correct.

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