Hey!
Well it is not possible to get into NITs with common rank but with category rank you might get seat in some of the NITs such as nit Assam, nit meghalaya etc and the chances of admission increased if you have home quota for nit. Also, you can get some of the top colleges such as DTU, GGSIPU etc. You can check out the cutoffs of different NITs by the link given below
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp
Also, you can use the tool link given below to predict your eligibility in different colleges
JEE Main College Predictor link
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Thank you
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