If \(x\) is a positive integer, is the remainder \(0\) when \(3^x+1\) is divided by \(10?\)

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If \(x\) is a positive integer, is the remainder \(0\) when \(3^x+1\) is divided by \(10?\)

(1) \(x = 4n + 2,\) where \(n\) is a positive integer.
(2) \(x > 4\)

Answer: A

Source: Princeton Review
Source: — Data Sufficiency |