Question

Assertion (A): π is irrational and \[\frac{22}{7}\] is rational.

Reason (R): \[\pi \neq \frac{22}{7}\]

Options

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

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. π is irrational, while \[\frac{22}{7}\] is rational because it is a ratio of integers.

Step 2 – Reason: R is true. π is not equal to \[\frac{22}{7}\].

Step 3 – Link: The inequality alone does not establish that π is irrational or that \[\frac{22}{7}\] is rational, so R does not correctly explain A.