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AMC 12 2014b Problem 7

  • Paper

For how many positive integers nn is n30−n\frac{n}{30-n} also a positive integer?

\textbf{(A)}\ 4 \textbf{(B)}\ 5 \textbf{(C)}\ 6 \textbf{(D)}\ 7 \textbf{(E)}\ 8

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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