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
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