Data Sufficiency

E all the way. Statement 1. Factor everything out, you will end up with 2(x-y)=2(x-y). Insufficient. Statement 2. 3x+2y=24. Since 3 (from x) and 2 (from y) are both factors/divisors of 24, you need another equation to solve for x and y. Insufficient. Statement 1 and 2 leaves us with no concrete conclusion. E.

Same here, E. From A, 4x^2-4y^2=4x^2-4y^2, so not sufficient.
For B, x and y can take as many values: x=0 results y=12, so x+y = 12. but y=0 results x=8, so x+y=8. so not sufficient.
Taken together: not sufficient as we dont know values of x and y.
So, E