PokéBase - Pokémon Q&A
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I know that if you give an Everstone to a pokemon and put it in the daycare and breed it,the new pokemon has 50% of having the same nature as the holder, but is there an item or a way that the new pokemon can have the same IVs as it's parent?

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You can't inherit all the IVs, only 3 at most. The 3 stats inherited are random, unless you have one of the Power items, in which case you will inherit that specific stat and 2 random ones.

So if a parent holds the Power Bracer, the baby will inherit its Attack IV and two other random IV stats.

You said in your comment about using the same Hidden Power - unfortunately since you only inherit 3 stats you cannot guarantee the same type and base power of the HP attack.

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