If set \(S\) consists of an even number of integers, is the median of set \(S\) negative?

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If set \(S\) consists of an even number of integers, is the median of set \(S\) negative?

(1) Exactly half of all elements of set \(S\) are positive.
(2) The largest negative element of set \(S\) is \(-1.\)

Answer: C

Source: GMAT Club Tests
Source: — Data Sufficiency |