| Assertion (A): \[\frac{13}{3125}\]is a terminating decimal fraction. |
| Reason (R): If \[q={{2}^{n}}\cdot {{5}^{m}}\] where n, m are non-negative integers, then \[\frac{p}{q}\] is a terminating decimal fraction. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false
D) Assertion (A) is false but reason (R) is true
Correct Answer: A
Solution :
| Sol. [a] Since, the factors of the denominator 3125 is of the form \[{{2}^{0}}\times {{5}^{5}}.\] |
| \[\frac{13}{3125}\]is a terminating decimal |
| Since, assertion follows from reason. |
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