The function \(f\) is defined for all positive integers \(n > 4\) as \(f(n) = 3n - 9\) if \(n\) is odd and

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The function \(f\) is defined for all positive integers \(n > 4\) as \(f(n) = 3n - 9\) if \(n\) is odd and \(f(n) = 2n - 7\) if \(n\) is even. What is the value of the positive integer \(a?\)

(1) \(f(f(a)) = a\)

(2) \(f(f(f(a)))\) is odd.

Answer: C

Source: Manhattan GMAT