If \(a, b,\) and \(c\) are positive integers, what is the remainder after \(b - a\) is divided by 3?

[M7MBA]

If \(a, b,\) and \(c\) are positive integers, what is the remainder after \(b - a\) is divided by 3?

(1) \(a = c^3\)
(2) \(b = (c + 1)^3\)

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT