The floor housed the server room of the State Bank of India's global market office.
The chief general manager (Kolkata circle) of SBI, P P Sengupta, said there was no news of anyone getting stuck on the floor.
Ten fire tenders have been pressed into service to douse the raging fire on the 17th floor of Jeevan Sudha building, a fire brigade official said.
Eyewitnesses said the fire was fast spreading to the other floors of the building.
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