Hey..

Congratulation On your score.

You can check The last 2-3 years cutoff By Clicking on The below link..it includes the last year cutoff rank Of different field in to NIT..please Follow the link

https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

First of all congratulations for getting such good rank in the exam. You'll surely get adniadmis into top NITs with this rank though the cutoff for every branch is different and you didn't mentioned any particular branch so I am telling you about some major ones,

You could get chemical, ECE, civil and mechanical in NIT calicut. Same branches in NIT manipur and chemical, civil and ME in delhi.

Hope it helps.