MCQ
Which of the following is irrational$?$
- A$0.15$
- B$0.01516$
- C$0.\overline{1516}$
- ✓$0.5015001500015.$
✓
Answer
Correct option: D.
$0.5015001500015.$
$a.0.15=\frac{15}{100}=$ Rational number
$b.0.1516=\frac{1516}{100000}=$ Rational number
$c.0.\overline{1516}$ is a Non$-$terminating Repeating number $=$ Rational number.
$d.0.5015001500015.$ is a Non$-$terminating, Non$-$Repeating decimal number, So is a irrational number.
Hence, option $(d)$ is correct.
$b.0.1516=\frac{1516}{100000}=$ Rational number
$c.0.\overline{1516}$ is a Non$-$terminating Repeating number $=$ Rational number.
$d.0.5015001500015.$ is a Non$-$terminating, Non$-$Repeating decimal number, So is a irrational number.
Hence, option $(d)$ is correct.
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