divide k evenly

[rainbownlife]

If k=m(m+4)(m+5) k and m are positive integers. Which of the following could divide k evenly?

I.3 II.4 III.6


I think all three could divide k evenly.
OA posted is 3,6 only. Not sure about the correctness of the OA....
if m=3 , 4 cud divide the expression? I would understand ans =3,6 , if question asked MUST divide. Any thoughts...?

[netigen]

3 and 6 will divide

so Ans is I and III

Why four wont divide E.g. m=5 k= 5x6x7

[Ian Stewart]

If k=m(m+4)(m+5) k and m are positive integers. Which of the following could divide k evenly?

I.3 II.4 III.6


I think all three could divide k evenly.
OA posted is 3,6 only. Not sure about the correctness of the OA....
if m=3 , 4 cud divide the expression? I would understand ans =3,6 , if question asked MUST divide. Any thoughts...?

You're completely right. Anything could divide k here. The word 'could' should read 'must', surely. Where is the question from?

[rainbownlife]

thanks Ian

somebody compiled a list of questions from gmatprep. Found this question in that list. OA was given as 3,6.
May be it is a typo ...'could' instead of 'must'.