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Hi Aspirant!
According to previous year cutoffs and trends the last round(Round 7) maximum rank cutoff under the OBC Category and other state quota is around 11,500 to 12,500 but your rank is far from that hence it would be impossible for you to get into any NIT.Although you can try your luck and observe your chances based on your home state quota.
You can follow these Career360's articles for a better understanding of cutoffs.
NIT: https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
IIIT: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
B.Tech/B.Arch Admissions OPEN
GFTI: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
Also, you can follow up this Career360's article for more information on CSAB SPECIAL COUNSELLING:
https://engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis
Also don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
HAPPY HUSTLING!
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