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Hello Aspirant,
According to the category and rank you have mentioned in the question you cannot get CSE in any of the NITs as per previous year's cut-offs. You can check out previous year's cut-off for CSE branch for different NITs from the link given below :-
https://engineering.careers360.com/articles/nits-cutoff-for-b-tech-computer-science-and-engineering
But yes 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.
Note that the cut-offs are bound to change every year depending upon various factors.
B.Tech/B.Arch Admissions OPEN
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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