Hii your rank is bit high.
As per the previous year cutoffs you have a tough chance of getting medium ranked NITs such as NIT Nagpur, NIT Rourkela, nit Raipur, NIT Bhopal,etc.Even if you get it in later rounds you might end up getting lower branches.
You can get higher branches in some lower ranked NITs such as NIT Patna, NIT Hamirpur, NIT Durgapur, NITs from North-east,etc
And some IIITs such as IIIT Nagpur, IIIT Ranchi, IIIT kancheepuram,etc.

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https://engineering.careers360.com/jee-main-college-predictor

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