Hello aspirant,

You got 6000 rank in jee mains.

Now, look, this is a very good rank in jee mains. So, you will get top level nits easily. Except NIT Trichy, Warangal & Suratkal , you may get the top branches like cse, ece, it in all the NITs with this ranking.

In these 3 nits you may get medium or low level branches.

Here is the jee main college predictor tool for you:

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

All the best  !!

:)