Fill in the blank with the most appropriate phrasal verb:- I live in…

The correct answer is Option (3) → put up

A phrasal verb is a verb joined with a small word such as up, out or together. The two words together have a new meaning.

The speaker says where he lives and asks where the other person stays in Delhi, so "Where do you put up in Delhi?" fits.
Complete sentence: I live in Central Delhi. Where do you put up in Delhi?

Phrasal verb	Meaning	Example
(1) live by	to follow a rule or principle in life. It does not ask about a place.	My grandfather lives by the rule of early to bed.
(2) put out	to stop a fire or light, or to trouble someone. It has nothing to do with staying.	The firemen put out the fire in an hour.
(3) put up (answer)	to stay or live somewhere, often for a time (informal)	We put up at a small hotel near the station.
(4) live with	to share a home with someone or to accept something unpleasant. It needs a person or thing after it, not a place.	I have learnt to live with the noise of the traffic.