The woman was found dead around 3 AM with burn injuries on her face and a pair of jeans wrapped around her neck, they said.
"Based on the autopsy report, we are filing a case of rape and murder," said a senior police official late this evening.
The woman lived with her parents at a one-plus tenement in a chawl. She occupied the top room which served as her study room.
Another neighbour said she was last seen with two of her female friends who were at her place till 11 pm.
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