The incident came to light after local residents spotted the blood-stained bags by the roadside at around 9:30 AM and alerted the police.
When the police opened the bags, they found decomposed body parts of a woman aged between 25 and 30, an official said.
While one bag contained the severed head and hands, another was stuffed with torso, Assistant Commissioner of Police (Madhapur Division) N Shyam Prasad Rao told PTI.
A medical examination found that the woman was eight- month pregnant and she might have been killed at another place, an investigating official said.
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"Her body was cut into pieces before being dumped into the two gunny bags," the official said.
"It seems she had been killed around two or three days ago," the official said, adding that as per the woman's attire, she seems to be from either UP, Bihar or Odisha.
The police urged to gynaecologists in the city to recall if any pregnant woman matching the above description had visited them and share the information with them.
Yesterday, a severed head of a man was found near a religious place in Nalgonda town of Telangana.
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