If \(n\) is a positive integer, and

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If \(n\) is a positive integer, and

by Gmat_mission » Thu May 21, 2020 1:14 am

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If \(n\) is a positive integer, and \(\sqrt{45\cdot 14\cdot 7^n−15\cdot 7^{n−1}\cdot 54}\) is a positive integer, what is the value of \(n?\)

(1) \(n\) is a factor of a prime number.
(2) \(n < 3\)

[spoiler]OA=B[/spoiler]

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Source: — Data Sufficiency |