Hi there,
Hope you are doing well.
Since you haven't mentioned your category. So providing you with results from all categories.
For NIT Goa, Goa State:
1) General:- Civil in round 6 or 7
2) OBC:- any branch except CSE
3) SC:- Any branch
4) ST:- Any branch

Check out cutoffs for NIT Goa at
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-goa

Hope it would help.
Thank You.

Hello, with your rank you won't get any seat in any government colleges through JEE Main. The seats get filled up at around 50 k. Even through state quota you won't get a seat. Also if you are from reserved category you won't get a seat. So please try for some good private engineering colleges like Sharda, SRM, Manipal etc.

Visit this link
https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India%3Fpage%3D1&ved=2ahUKEwjFiK6EqIfiAhVMpI8KHakaAewQFjAMegQIAxAB&usg=AOvVaw16NeVmi-WQRohTZE-NHiWB

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