mNeo wrote:

(1) x(y+5) is even.

If y is even, x is even

If y is odd, x may or may not be even

(Insuff)

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(2) 6y^2 + 41y + 25 is even.

So, y is odd (An even y doesn't make the expression even)

(Insuff)

So, (1) and (2) together are NOT sufficient. Is this the answer?

Good explanation, and I second (E) same logic.

where o=odd e=even

statement 1
x(y+5) is even.

e(o+5) is even.

o(o+5) is even.

x could be either o,e - insufficient

statement 2
6y^2 + 41y + 25 is even.

6o^2 + 41o + 25 is even.

y is odd but x could be either o,e - insufficient

statements 1&2
still insufficient - knowing that y is odd - still can't say if x is even (see statement 1)