MCQ
Which of the following is irrational$?$
- A$0.14$
- B$0.14\overline{16}$
- C$0.\overline{1416}$
- ✓$0.1014001400014...$
✓
Answer
Correct option: D.
$0.1014001400014...$
$0.14=\frac{14}{100},$ which is a Rational number
$0.14\overline{16}$ is non-terminating but repeating, hence a rational number
$0.\overline{1416}$ is non-terminating but repeating, hence a rational number
$0.1014001400014...$ is non-terminating as well as non-repeating number, which is irrational in nature.
Hence, correct option is $(d).$
$0.14\overline{16}$ is non-terminating but repeating, hence a rational number
$0.\overline{1416}$ is non-terminating but repeating, hence a rational number
$0.1014001400014...$ is non-terminating as well as non-repeating number, which is irrational in nature.
Hence, correct option is $(d).$
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