If $x, y,$ and $z$ are positive integers, what is the remainder when $100x + 10y + z$ is divided by $7?$

If $x, y,$ and $z$ are positive integers, what is the remainder when $100x + 10y + z$ is divided by $7?$

(1) $y = 6$
(2) $z = 3$

Answer: E

Source: GMAT Prep

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