is (k+1)(k+2)(k+3) divisible by 4?

a)k is divisible by 8

b)(k+1)/3 is odd

i dnt have any problem in statement 1 but in case of statement 2, i am confused b/w two ways.

one is-

if (k+1)/3 is odd, it means k+1 is odd...furthermore k is even

since even numbers comprises of 0 also, therefore the statement is insufficient

the second is-

k=2, (k+1)/3=(2+1)/3=1 which is odd

k=8, (k+1)/3=(8+1)/3=3 which is odd

and so on...considering this method, we can deduce k as either of {2, 8, 14, 20, 26...} for which the above expression is satisfied....

plz help

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