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hello,
chances are there to get an admission in NIT. You may not get top NIT campus as their rank cutoff closing rank is below 3k. You can apply for lower ranked NIT campus like jamshedpur,manipur,sikkim,Mizoram.
as per your percentile, your predicted rank will be 84,554. this is not absolute as the april session is yet to be conducted and the rank list will be released after it where all the score of both the sessions will be normalized.
for previous year NIT cutoff please visit the link below:-
https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches
Hope it helps!
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