What is the remainder when the positive integer x is divided by 6?

a) When x is divided by 2, the remainder is 1; when x is divided by 3, the remainder is 0.

b) when x is divided by 12, the remainder is 3.

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Side question-if you pick 3 for x after reading statement 1, is the remainder 3 when 3 is divided by 6? That sounds fishy to me, but that's the answer I got after looking it up on the internet.