Does positive integer \(b\) have a factor \(n\) such that \(1 < n < b ?\)

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Does positive integer \(b\) have a factor \(n\) such that \(1 < n < b ?\)

(1) \(b = 2k,\) where \(k\) is an integer greater than 1.
(2) \(k\) is a factor of \(b,\) where \(k\) is an integer greater than 1.

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT
Source: — Data Sufficiency |