E.G. If a Pokemon has 252 EVs, and it levels up will it keep the EVs, or will they reset to zero?
No, they keep it. Unless, you hack them to :T
Source: Experience
The ONLY WAY a Pokémon's EV ever go down after it obtains some is if you give it a EV-reducing Berry. Otherwise, NO, leveling it up will not reset its EVs.