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GMAT Data Sufficiency (DS) | What is the remainder when integer n is divided by 3?

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Bunuel wrote:

What is the remainder when integer n is divided by 3?

(1) When 8n is divided by 3, the remainder is odd.
(2) When 5n is divided by 3, the remainder is odd.


S1 -> 8n = 3P + r, r = odd numbers
3 can only have 0,1,2 as remainders => r = 1.
To try, plug in numbers.
40 = 3*13 + 1
64 = 3*31 + 1... and soon.
Sufficient.

S2 -> 5n = 3Q + r, r = odd numbers
3 can only have 0,1,2 as remainders => r = 1.
To try, plug in numbers
10 = 3*3 + 1
25 = 3*8 + 1
Sufficient.
Therefore, Answer is D.
N
...

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