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If you put a Pokemon in the Day-Care with no EVs and took it out again at level 99, then maxed out it's EVs, would it gain at least 63 points upon levelling up?

Also if you max out a Pokemon's EVs at level 1, then put it in the Day-Care and took it out at level 100, would it receive all them EVs?

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I don't understand what your asking in your first question?

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Question no.1: No.
It doesn't work that way, that's like saying you catch a level 60 graveler for example, if you max out the EVs will it get a +50 stat boost upon the next level up in Defense, no it won't.

Moving on,

Question no.2: Yes.
If you put a Pokemon in the DayCare with no EVs it won't get any but if you max them out before putting them in, it will level up as usual getting those stat boosts.

Source: Experience

Hope I helped!

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For those reading later: Yes, to both questions. EV gains are not applied all at once, they depend on the Pokémon’s level. We say that at level 100, every 4 EVs give 1 stat point, while at level 50, it takes 8 EVs for the same effect. EVs accumulate and are stored, and their effects are applied gradually as the Pokémon levels up. According to the stat formula, just like Natures only give or take 10% at level 100, the total gain from 510 EVs (127 points, or up to 63 in a single stat) is only fully seen at level 100. Before that, you only get a fraction of the full benefit. And finally, a Pokémon's stat is updated with each level up( And other things too).

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