If \(p\) is a positive odd integer, what is the remainder when \(p\) is divided by \(4?\)

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If \(p\) is a positive odd integer, what is the remainder when \(p\) is divided by \(4?\)

(1) When \(p\) is divided by \(8,\) the remainder is \(5.\)
(2) \(p\) is the sum of the squares of two positive integers.

Answer: D

Source: GMAT Prep