Question

Assertion (A)
$\frac{1242}{49}$is a non-terminating, repeating decimal.
Reason (R)
The rational number $\frac{p}{q}$ is a terminating decimal if q = (2m × 5n) for some whole numbers m and n.

(a) 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 (R) 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 1

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

$\frac{1242}{49}=\frac{1242}{7^2}$ = a non-terminating, repeating decimal
We know 7 is not a factor of 1242; so, it is in its simplest form.
Moreover, it is not of the form $(2^m\times 5^n)$.