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Question

Which of the following is a rational number?


A

2

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B

π

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C

20

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D

4.8

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Solution

The correct option is D

4.8


A rational number can be written in the form of pq where p and q are integers and q is not equal to zero. Rational numbers have their decimal expansions as either terminating or non-terminating but recurring.

π = 3.14159265358..., i.e., the digits after decimal point do not terminate and not recurring. Hence it is not rational

2 is approximated to 1.414213562373095..., i.e., it cannot be expressed as a recurring and non-terminating decimal and hence is not rational.

20 is not defined and for a rational number, the denominator should be non-zero.

4.8 on the other hand, satisfies all the properties of rational numbers.


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