## 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 $$4?$$

by Gmat_mission » Sun Sep 12, 2021 8:48 am

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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.