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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

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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

by VJesus12 » Thu Aug 27, 2020 12:10 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) \(n < 3\)

Answer: B

Source: GMAT Club Tests
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