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Hello Aspirant,
According to the rank you have mentioned in the question you have no chances of getting in to NIT Agartala 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 and the cut-offs which you are talking about that are for Home state candidates means for those who belongs to Tripura but you belongs to UP so you don't deserve it.
For complete details about previous year's cut-offs refer the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-agartala
Note that the cut-offs are bound to change every 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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