Set \(A\) contains \(n\) distinct positive integers, all greater than \(1.\) If the number of even integers in the set is \(5\) and the set also contains \(4\) odd prime numbers, what is the value of \(n?\)

(1) The set contains 2 odd composite numbers.
(2) The set contains 6 composite numbers.

Answer: A

Source: e-GMAT