The farmhouse is reportedly owned by Madhya Pradesh Assembly's Deputy Speaker and senior Congress leader Rajendra Singh, he added.
"The cub was found trapped in a snare at the farmhouse, reportedly owned by Singh, yesterday," Bandhavgarh Tiger Reserve Field Director C H Muralikrishna said.
Singh told PTI that his family owns the land on which the farmhouse is located.
"It appears to be an accident as the cub's precious claws, teeth and skin, for which poachers kill the animal, were intact," the Deputy Speaker said.
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"May be someone had set a trap to catch some other animal and the cub got trapped accidentally," he said.
The cub, six-month-old, was trapped two or three days ago, forest department sources said.
A dog squad was pressed into service to gather more evidence. Forest officials were also questioning the caretaker of the farmhouse, who alone was present during the period.