| Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
| Assertion [A] \[\frac{13}{3125}\]is a terminating decimal fraction. |
| Reason [R] If \[q={{2}^{n}}\,.\,{{5}^{m}}\]where n, m are non-negative integers, then \[\frac{p}{q}\]is a terminating decimal fraction. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is False.
D) A is false; R is true.
Correct Answer: A
Solution :
| Since, the factors of the denominator 3125 is of the form \[{{2}^{0}}\times {{5}^{5}}\] |
| . \[\therefore \,\,\frac{13}{3125}\] is a terminating decimal. |
| Assertion and Reason both are true and Reason is the correct explanation of Assertion. |
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