If \(a\) and \(b\) are integers then what is the remainder when \(a^2+b^2\) is divided by \(7?\)

[VJesus12]

If \(a\) and \(b\) are integers then what is the remainder when \(a^2+b^2\) is divided by \(7?\)

(1) \(a-b=4\)

(2) \(a^2b^3\) is divisible by \(14\)

Answer: C

Source: e-GMAT