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Hello,
According to the percentile you have mentioned in the question your daughter's rank is expected to be in the range of 85,000-1.15 Lacs and on the basis of this rank you have no chances of getting in to NIT Trichy as per previous year's cut-off even after considering your Home State quota. As cut-offs for this year is not declared yet so we can guide you on the basis of previous year's cut-offs.
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
B.Tech/B.Arch Admissions OPEN
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
For admission to any of the NITs you have to participate in JOSAA counselling and if you have good rank then the seat in good institution will be alloted to you. For complete process of JOSAA counselling refer to the link given below :-
https://www.google.com/amp/s/engineering.careers360.com/articles/josaa-counselling/amp
I hope this information helps you.
Good Luck!!
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