**AMC 10 Mock Exam Question 13**

How many positive integers $n$ satisfy the following condition: $$(130n)^{50} > n^{100} > 2^{200} \text{ ?}$$

$\textbf{(A) } 0\qquad \textbf{(B) } 7\qquad \textbf{(C) } 12\qquad \textbf{(D) } 65\qquad \textbf{(E) } 125$

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