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

[Vincen]

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