Hello Aspirant,
According to the rank and category you have mentioned in the question you have good chances of getting Mechanical engineering in some NITs as per previous year's cut-off. As cut-offs for this year is not declared yet so we can guide you on the basis of previous year's cut-offs. You can get following NITs :-
And some more. For complete details about previous year's cut-offs refer the link given below :-
https://engineering.careers360.com/articles/nits-cutoff-for-btech-mechanical-engineering
Note that the above prediction is made on the basis of previous year's cut-off and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.
However I would recommend you to use JEE-Main College Predictor to predict the chances of your admission in different colleges based upon your percentile and category :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile