I’ll mark even as E, odd – as O.
(1)
x(y+5) – even.
Means that
a. x and y+5 are both E, making y O
b. x-E, y+5=O, making y-E
c. x-O, y+5=E, making y O
x can be as O as E – INSUFFICIENT
(2)
6y^2+4y+25 = E
Means that 6y^2+4y = O
factorizing y we get y(6y+4) = O
6y+4 is obviously E, this means that y is O
But nothing about x….– INSUFFICIENT
(1) and (2)
From (2) we know that y is Even.
From (1) we know that to make x(y+5) even x can be as E (from a.) as O (from c.)
So, INSUFFICIENT
Answer is E.
Here E doesn’t mean Even















