If

p and

q are consecutive positive integers, is

p a multiple of 3 ?

(1)

q is not a multiple of 3.

(2)

q - 1 is not a multiple of 3.

The question is easy; however, I have a doubt in relation to the number 0. Should we consider 0 a multiple of 3? I think we should because a multiple of an integer is that integer multiplied by other integer. So , if 0 is that other integer,

3 x 0 = 0; thereofore, 0 is a multiple of 3. In other words, 0 would be a multiple of every number.

But I don't know whether it is the reasoning of the GMAT. Or, do they consider only positive multiples? In other words, they don't consider 0 "the other integer" to create a multiple. If they think in that way, how is the answer for this question affected?

For example, in statement (2), could

q be 1? In that sense,

q-1 would be 0, and if they only consider positive multiples,

q-1 would not be a multiple of 3.

I know that the answer to my question is not necessary to solve this problem, but I prefer to solve that doubt for future problems.

Thank you!

_________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

My Integrated Reasoning Logbook / Diary: my-ir-logbook-diary-133264.html