(1) x(y+5) is even.
If y is even, x is even
If y is odd, x may or may not be even
(2) 6y^2 + 41y + 25 is even.
So, y is odd (An even y doesn't make the expression even)
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
x(y+5) is even.
e(o+5) is even.
o(o+5) is even.
x could be either o,e - insufficient
6y^2 + 41y + 25 is even.
6o^2 + 41o + 25 is even.
y is odd but x could be either o,e - insufficient
still insufficient - knowing that y is odd - still can't say if x is even (see statement 1)