Consists of two statements, namely, Assertion (A) and Reason (R).… - Vidyadip

MCQ

Consists of two statements, namely, Assertion $(A)$ and Reason $(R).$ For selecting the correct answer, use the following code:

Assertion (A)	Reason (R)
$\sqrt{3}$ is an irrational number.	Square root a positive integer which is not a perfect square is an irrational number.

The correct answer is: $(a), (b), (c), (d).$

✓
Both Assertion $(A)$ and Reason $(R)$ are true and Reason $(R)$ is a correct explanation of Assertion $(A).$
B
Both Assertion $(A)$ and Reason $(R)$ are true but Reason is not a correct explanation of Assertion $(A).$
C
Assertion $(A)$ is true and Reason $(R)$ is false.
D
Assertion $(A)$ is false and Reason $(R)$ is true.

✓

Answer

Correct option: A.

Both Assertion $(A)$ and Reason $(R)$ are true and Reason $(R)$ is a correct explanation of Assertion $(A).$

We know that if $\sqrt{\text{x}}$ is an irratinal number, it means $x$ is not a perfect square.
Thus, Assertion $(A)$ is true
Since Reason $(R)$ gives Assertion $(A),$ so $(a)$ holds.

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