Question

Assertion (A)
$\frac{123}{6250}$is a terminating decimal.
Reason (R)
The rational number $\frac{p}{q}$ is a terminating decimal, if q= (2^m × 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 (R) is a correct explanation of Assertion (A).
(b) Both Assertion 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 (R) is a correct explanation of Assertion (A).


$\frac{123}{6250}=\frac{123}{5^5\times 2}$= terminating decimal
It is given that:
$p=123$
$q$ = $(2^m\times 5^n)$, where $m,n$ are whole numbers.
Hence, both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).