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Hello rahul,
Hope you are doing well.
As your jee rank is good , so you can get get NITs but the thing is you may not get your desired branches as per your choice. As JOSAA will start their counselling from 6 october onwards so till then you have to wait for the cutoffs of NITS as per officials. The nits which have their cutoffs relevant to this rank is:-
1) NIT meghalaya:--their closing rank is around 26k
2) NIT manipur:-their closing rank is around 27.1k
3) NIT Mizoram:-their closing rank is around 29.7k
4NIT nagaland :-their closing rank is around 19k
5)NIT andhra pradesh:-their closing rank is around 22k
As I said you can get NITs but the thing is you may not get branches as per your choice. As cutoff depend on various factors so it may change as per officials and trends.
If you want more information and cutoffs of NIT then you may visit :-
https://www.google.com/amp/s/engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp
And if you want to predict your college as per your rank and percentile then you can use this predictor tool:-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this information helps you out. Thank you
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