If (x^2) + 5y=49, is y an integer?
(1) 1
(2) (x^2) is an integer
I say combined together, they are sufficient, ....
....since the first statement, if x were either 2 or 3, y would be an integer, but we're not told that x is an integer so the fact that (x^2) could be fraction is possible. so INSUFFICIENT
... but the second statement tells us that x is an integer. alone, that's INSUFFICIENT..
.. but combined, we're basically told that x can either be 2 or 3 which makes 49-(x^2) a multiple of 5. So I chose C.
Please tell me why this way of solving the question is wrong since the answer is saying that it should be E.