When the positive integer \(x\) is divided by \(4,\) is the remainder equal to \(3?\)

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When the positive integer \(x\) is divided by \(4,\) is the remainder equal to \(3?\)

(1) When \(\dfrac{x}3\) is divided by \(2,\) the remainder is \(1.\)

(2) \(x\) is divisible by \(5.\)

Answer: E

Source: Manhattan GMAT