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Congratulations on scoring this much rank in Joint Entrance Examination Mains.
Since you have not mentioned your state of eligibility it would be diificult for me to find out colleges for you that you will be getting from your state quota.
I am giving some choices for you
Visit this link to have an idea of more colleges and respective branches that you will be getting on the basis of your rank
B.Tech/B.Arch Admissions OPEN
http://tools.collegepravesh.com/college-predictor/jee-main/
National Institute of Technology or NIT are the technical institutes at national level offering admission to candidates on the basis of the entrance exam called JEE Main. Candidates will have to appear in JEE Main and qualify it with a good rank to be eligible for admission at NITs. There are 31 NITs in the country having their respective cutoffs (minimum marks required for admission) which they release after the exam is over. Candidates will have to score marks more than or equivalent to respective NITs cutoff, they want to be a part of.
https://engineering.careers360.com/articles/jee-main-cutoff refer this link for last year college cutoffs.
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