Question

Assertion (A): The Unit digit of 3ⁿ cannot be an even number for any natural number n.

Reason (R): 2 is not a prime factor of 3ⁿ for any natural number n.

Options

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

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

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).

Explanation:

Unit digit of 3ⁿ is 3, 9, 7, 1.

So, (A) is true.

3ⁿ can only have 3 as a prime factor.

Thus, (R) is true.