Under which operator is the set of rational numbers not closed?

Addition

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Subtraction

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Multiplication

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Division

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Solution

The correct option is D Division
Set of rational numbers is not closed under division.

Suppose that 'a' is a rational number.
Then, $\frac{0}{a}$ is a rational number but $\frac{a}{0}$ is not.
So, rational numbers are not closed under division.

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