If x is an integer, then y(y – 1)(y – l) must be evenly divisible by three when l is any of the following values EXCEPT	Choose the correct choice from the following options:
A) -4
B) -3
C) -2
D) 2
E) 5
We have the product of 3 integers: (y-1)y(y-l).   Note that the product of 3 integers is divisible by 3 if at least one multiple is divisible by 3. Now, to guarantee that at least one integer out of y, (y – 1), and (y – l) is divisible by 3 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 3.   Next, if l=-2 then we'll have (y-1)x(y+2)=(y-1)x(y-1+3) --&gt; which means that (y-1) and (y+2) will have the same remainder upon division by 3. Thus for l=-2 we won't be sure whether (y-1)x(y-l) is divisible by 3.   Answer: -2.
<result>C</result>
If x is an integer, then y(y – 1)(y – l) must be evenly divisible by three when l is any of the following values EXCEPT