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Hello Aspirant,
According to the category rank you have mentioned in the question you cannot get any of the NITs as per previous year's cut-offs even after considering your Home State quota but I would suggest you to sit for some state counselling because in some of the state government colleges you can get admission on such ranks. Some colleges in which you can try are enlisted below :-
For complete list of colleges on such lower rank, refer to the link given below :-
B.Tech/B.Arch Admissions OPEN
https://www.google.com/amp/s/engineering.careers360.com/articles/low-jee-main-rank-check-which-colleges-you-can-get/amp
Note that the cut-offs are bound to change every year depending upon various factors.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-
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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