Hii Siddharth.
Your OBC rank is bit high.
As per the previous year cutoffs you have a tough chance to get any medium ranked NITs such as NIT Nagpur, NIT Raipur, NIT Bhopal, NIT Rourkela,.
But even if you get it I'm later rounds you might end up getting lower branches.
You can get good branches in some lower ranked NITs such as NIT Patna, NIT Uttarakhand, NIT Andhra, NIT Goa, NITs from North-east.

All the best

You can also check for Colleges on the link below
https://engineering.careers360.com/jee-main-college-predictor

Joint Entrance Examination (Main)

Answer Key | Eligibility | Application | Preparation Tips | Question Paper | Admit Card | Result | Accepting Colleges

Get Updates Brochure