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