Question

$$3.27$$  is

पर्याय

• an integer

• a rational number

• a natural number

• an irrational number

Answer 1

We have,

${\displaystyle 3.\overline{27}=3.27272727...}$

Let 

x=3.27272727....

Then,

${\displaystyle 100x=327.272727}$

${\displaystyle 10000x=32727.2727...}$

Subtract these to get

${\displaystyle 9900x=32400}$

${\displaystyle x=\frac{32400}{9900}}$

${\displaystyle x=\frac{324}{99}}$

Thus, we can also conclude that all infinite repeating decimals are rational numbers.

Hence, the correct choice is (b).