The woman has been staying at her father's place since her husband abandoned her some time ago. She was kidnapped and raped at the vegetable garden, police said.
Her hands and legs were tied with ropes when she was found by some villagers.
She was admitted to the SCB Medical College and Hospital in Cuttack where her condition was stated to be serious, police said.
"We suspect involvement of three persons in the incident," said a police officer, adding that a manhunt has been launched to arrest the culprits.