**Quote:**

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

1) when x is divided by 2, the remainder is 1 and when x is divided by 3 the remainder is 0

2) when x is divided by 12 the remainder is 3

thanks

I'll vote for D.

Statement 1:

x=2n+1; x: 0, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21

x=3n; x: 3, 6, 9, 12, 15, 18, 21...

values that match both sets: 3, 9, 15, 21...

if x/6, remainder = 3, 3, 3, 3

Sufficient.

Statement 2:

x=12n+3; tells me x:15, 27, 39, 51, 63...

when x/6, remainder is: 3, 3, 3, 3, 3...

Sufficient.