You have to catch an Abra at a mt. cornet cave opening and train it.
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Kadabra evolves when you trade it to another player.
Trade a kadabra with a friend
in pokemon pearl,diamond or platinum you have to eight badges in pokemon black and then trade kadabra to you from yourself and it will evolve
press a on a tv a few times it will say a kadabra is holding a twisted spoon
Kadabra evolves upon trading.