remainders

Test Preparation
1

<p>can somebody explain me this, please?
which of the following could be the remainders when four consecutive positive integers are each divided by 3?
a)1,2,3,1
b)1,2,3,4
c)0,1,2,3
d)0,1,2,0
e)0,2,3,0</p>

<p>so, i get that the remainder should be less or equal to 2... but what about when this kind of exercise has different numbers? how do i solve it? :/ </p>

2

<p>By definition, remainders upon dividing by n must be in the range {0, …, n-1} --> eliminate A, B, C, E. Therefore D is the answer.</p>