Hi, as you have mentioned that you have 183k All India Rank so if you will try with this rank it would not be possible to get into MIT, Muzaffarpur but since you belong to ST category and you have 2697 ST category rank I can assure you that you not only can take admission in MIT, Muzaffarpur but much mpre higher colleges like Delhi Technical University(DTU) and Netaji Subhas University of Technlogy(NSIT) like top colleges and universities.

Now if you want to graduate from MIT, Muzaffarpur than it's ok or you can also perform your engineering from other renowned institutions as well decision will be yours.

Moreover you can predict your own college by yourself through Careers360 College Predictor tool(link mentioned below);

https://engineering. careers360.com/jee-main- college-predictor?icn=QnA&ici= qna_answer

Good Luck.