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Question: Answered & Verified by Expert
The number of positive integers $n$ in the set $\{2,3, \ldots ., 200\}$ such that $\frac{1}{n}$ has a terminating decimal expansion is
MathematicsSets and RelationsKVPYKVPY 2017 (19 Nov SA)
Options:
  • A 16
  • B 18
  • C 40
  • D 100
Solution:
1966 Upvotes Verified Answer
The correct answer is: 18
The numbers will be
$\begin{array}{l}
2,4,8,16,32,64,128 \\
5,25,125 \\
10,20,40,50,80,100,160,200
\end{array}$

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