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Assertion : 5 is a rational number.Reason : The square roots of all positive integers are irrationals

Question

Assertion : 5 is a rational number.

Reason : The square roots of all positive integers are irrationals.

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Solution

The answer is (c) Assertion (A) is true but reason (R) is false.

Here's why:

The assertion is true. 5 is indeed a rational number because it can be expressed as a ratio of two integers (in this case, 5/1).

However, the reason is false. It's not correct to say that the square roots of all positive integers are irrational. For example, the square root of 4 is 2, and the square root of 9 is 3, both of which are rational numbers. Therefore, it's not correct to say that the square roots of all positive integers are irrational.

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