Question

How do you get the Custap, Durin, Jaboca, Micle, and Rowap Berries in ORAS?

Answer 1

Custap Berry -Only available by Event Pokemon holding it.
See here for the list

Durin Berry -A Hyper Rank Contest Fan

Jaboca Berry - Event Pokemon holding it. See here for the list

Micle Berry- Only Jirachi, Raikou and Shaymin as an event. See here

Rowap Berry- Exclusive to Winners in a Competition

Dream WorldGiven to players who ranked in the second 2013 International Challenge Wi-Fi tournament forBlack 2 and White 2. It took place between March 22, 2013 - March 25, 2013.

Also available via Event Pokemon
See here

Comments

So in other words... I have to get lucky on the GTS

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Yeah ...pretty much