Set \(S\) consists of \(n\) consecutive positive integers, each less than \(25.\) If \(n > 3,\) what is the value of

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Set \(S\) consists of \(n\) consecutive positive integers, each less than \(25.\) If \(n > 3,\) what is the value of \(n?\)

(1) The number of factors of \(2\) contained in set \(S\) is equal to the number of factors of \(3\) contained in set \(S.\)

(2) \(n\) is odd.

Answer: E

Source: Manhattan GMAT
Source: — Data Sufficiency |