even integer?

[grandh01]

If x is an integer, is (x + p)(x + q) an
even integer?
(1) q is an even integer.
(2) p is an even integer.

[GMATGuruNY]

If x is an integer, is (x + p)(x + q) an
even integer?
(1) q is an even integer.
(2) p is an even integer.

This is an EVEN/ODD question.
If p=2, q=2, and x=1, both statements are satisfied.
In this case, (x + p)(x + q) = (1+2)(1+2) = 9, which is NOT even.
If p=2, q=2 and x=2, both statements are satisfied.
In this case, (x + p)(x + q) = (2+2)(2+2) = 16, which IS even.
Thus, the two statements combined are INSUFFICIENT.

The correct answer is E.