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Hi Aspirant! According to previous year the last round cutoffs and trends the last rank from which OBC candidate got the admission in NITK is around 8.5k to 9k.But your rank is far from that range hence it would be impossible for you to get admission in NITK.
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
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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