If \(n\) is a positive integer, is \(n\) the square of an integer?

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If \(n\) is a positive integer, is \(n\) the square of an integer?

(1) \(|n - 5m| = 2\) for some integer \(m.\)

(2) \(|n - 7p| = 2\) for some integer \(p.\)

Answer: A

Source: Manhattan GMAT