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Hello Aspirant,
According to the rank you have mentioned in the question you have higher chances of getting in to NIT Trichy if you belong to Tamil Nadu and deserves home state quota 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 which are given below :-
CE - 7577
For complete details about previous year's cut-offs refer the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy/amp .
Note that the cut-offs are bound to change evry year depending upon various factors, so to get an idea we can use last year's cut-offs.
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!!
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