hello aspirant,

no one can actually guarantee the college that you will be getting with your marks. All we can help you is by giving some guidance as  how you can get a better college.

there's very less chance for you to get a government college or to be honest you won't get a government college with this rank.

there's a link provided below which can help you as what colleges can you get-,there are a lot of colleges accepting jee main scores

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india-accepting-jee-main

or you can also try giving the paper again , the next year and then you may get a good college and that too a government college.

It's not that just IIT exams  exams can give us a good college.There's also options available for the state level exams like COMEDK and AKTU, you can check out the exams like these and by getting good scores, you may even get a a government college.

Hope that helps

All the best