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If \(p\) and \(q\) are positive integers, what is the remainder when \(27^{12p} + 3^{6q}\) is divided by \(5?\)

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If \(p\) and \(q\) are positive integers, what is the remainder when \(27^{12p} + 3^{6q}\) is divided by \(5?\)

by VJesus12 » Sun Feb 14, 2021 2:08 pm

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If \(p\) and \(q\) are positive integers, what is the remainder when \(27^{12p} + 3^{6q}\) is divided by \(5?\)

(1) \(p\) is an odd prime number.

(2) \(q\) is divisible by \(10.\)

Answer: B

Source: e-GMAT
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