is a rational number when:

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answer is A.

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Detailed Solution

Concept: Try to remember what rational and irrational numbers are. Consider the fact that 0 is an integer as well.
Let's first discuss the definitions of rational and irrational numbers before moving on to the possibilities.
Therefore, real numbers that can be expressed in the form of

, where p and q are both integers, and where

, are considered rational numbers. In other words, we can state that rational numbers are those that, when expressed in decimal form, are either terminating or repeating. This category includes all integers.
Now about irrational numbers, Irrational numbers are real numbers that are non-terminating and non-recurring.
Irrational numbers include the roots of any integers that are not perfect squares. The two most common examples of irrational numbers are and e. Let's now get to the answer to the previous query. In case of option (a), where p and q are both integers

and

makes it a rational number.
Hence, the correct option 1.

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