need a bit of clarification - Num Prop Question

[san2009]

If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?

A) 4
B) 5
C) 6
D) 7
E) 8

Here is what I've been able to understand: since y = non-multiple of 3 + multiple of 3, it will never be divisible by 3. I understand that much. But how do you extend that rationale to "all multiples of 3"?

Pls advise. Thanks.

[liferocks]

here we can say that since y=3x+2 ,y will never be multiple of 3 or when divided by 3 it leaves reminder 2.
Now a number to be divisible by 6 needs to be divisible by both 2 and 3.
since y is not divisible by 3 ,it will not be divisible by 6
Ans C

[san2009]

bingo! thanks for reminding me