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Choose the option which represents the category to which $12$ belongs.

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a fraction

a rational number

an irrational number

none of these

answer is C.

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Detailed Solution

We have to determine the category to which

12

belongs.
A rational numbers are those number that can’t be expressed in the form of

p q

where p and q are integers and

q ≠ 0

and irrational numbers are those number that can’t be expressed in the form of

p q

.
Comparing

12

with

p q

, we have

q = 2

, which is not an integer but an irrational number.
So, we conclude that

12

is an irrational number.
Hence, the correct option is (3).

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