If a number has non-terminating and non-recurring decimal expansion, then it is.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

A rational number

A natural number

An irrational number

An integer

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Concept: First, use some good examples to describe the definition of each of these numbers with the options specified, show that these examples explain the characteristics of the numbers, and then give the correct answer. Try to remove the option to find out.
Numbers without a recurring decimal extension are irrational numbers.
For example,

is an irrational number
And

Here, the number has a unique non-terminating decimal extension.
Hence, option 3 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th