A) 2
B) 3
C) 5
D) 8
Correct Answer: C
Solution :
Sol. [c] We have, \[\frac{51}{1500}=\frac{17}{500}\] Prime factorization of 500 | ||||||||||||
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which is in the form \[{{2}^{n}}\times {{5}^{m}}\] | ||||||||||||
So, it has a terminating decimal expansion. | ||||||||||||
Now, \[\frac{51}{1500}=\frac{17}{{{2}^{2}}\times {{5}^{3}}}\] | ||||||||||||
By comparing, we get \[n=2\] and \[m=3\] | ||||||||||||
\[m+n=2+3=5\] |
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