The three youths were engaged in liquor trade in the Banki locality of Cuttack district, police said.
The three accused were remanded to judicial custody.
The woman was abducted from her parents' vegetable farm to a nearby jungle by three youths who raped her there at Kuamada in Cuttack district yesterday. She was found in unconscious state with her hands and legs tied.
With several injury marks on her body, it was suspected that there was an attempt to kill her after rape, police said.