Question

Which of the following statement is correct.
1. 2/3 is a rational number but 22/7 is an irrational number
2. π is an irrational number
3. √3 is a rational number
4. 0.324324324... cannot be expressed in p/q form where p and q are integers and q ≠ 0.

Answer 1

Correct Answer - Option 2 : π is an irrational number

Concept used:

Rational numbers can be expressed in p/q form where p and q are integers and q ≠ 0.

Irrational numbers cannot be expressed in p/q form or the numbers which are not rational.

Calculation:

Option 1

2/3 and 22/7 are rational numbers as they both are expressed in p/q form.

Option 2

π is an irrational number, it is the ratio of circumference to its diameter.

We take π = 22/7 but it is not the exact value of π, it is just an approximate value.

Option 2

Numbers which are not perfect squares are irrational numbers.

eg:- √3, √7, √10

Option 4

0.324324324.... is a non terminating and repeating decimal, it can be expressed in p/q form

0.324324324.... = 36/111

∴ Option 2 is correct