Hello aspirant

With a rank of 2lakh+ you have little chance at getting into the top engineering colleges if you do not have a category rank, or avail the home state quota otherwise. The colleges you get based on your rank will be different each year since the cutoffs and availability of seats keep varying.

To know about exact colleges, use the college predictor tool below:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this helps you.