Assertion (A): 5 is a rational number.
Reason (R): The square root of all positive integers are irrational.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
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Answer:
(c) A is true but R is false.
because 5 is a rational number but square root of all positive number are not irrational
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According to the given assertion and reason, we can evaluate their truth individually:
Assertion (A): 5 is a rational number.
This statement is true since 5 can be expressed as the ratio of two integers, 5/1.
Reason (R): The square root of all positive integers are irrational.
This statement is false. While some square roots of positive integers are indeed irrational (like √2 or √3), others are rational (like √4 or √9).
Therefore, option (c) A is true but R is false is the correct choice.
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