A) \[\frac{31}{2125}\]
B) \[\frac{17}{512}\]
C) \[\frac{23}{200}\]
D) \[None\,\, of\,\, these\]
Correct Answer: A
Solution :
| Sol. [a] a. \[\frac{31}{2125}=\frac{31}{{{5}^{3}}\times 17}\] |
| \[\therefore \,\,\,\,\,\,\frac{31}{2125}\] has non-terminating repeating decimal. |
| b. \[\frac{17}{512}=\frac{17}{{{2}^{9}}\times {{5}^{0}}}\] |
| \[\therefore \,\,\,\,\frac{17}{512}\] will have a terminating decimal expansion. |
| c. \[\frac{23}{200}=\frac{23}{{{2}^{3}}\times {{5}^{2}}}\] |
| \[\therefore \,\,\,\frac{23}{200}\] will have a terminating decimal expansion. |
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