Problem Solving

Taken from MGMAT CAT practice test:
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT
A) -4
B) -2
C) -1
D) 2
E) 5

correct answer is B but I don't understand how to approach this problem (I randomly guessed)..thanks!

1 possible approach could be using hybrid technique of plugging in and picking numbers in the same question.

i.e plugging in the options for k and picking a value for x

for eg. let x=5
plugging values of K , you'll notice that only when K=-2 the fraction is not divisible by 3.
hence option B is correct.

hope this helps.