Hii
your rank is good.As per the previous year cutoffs you can get NIT Durgapur from home state qouta.You can also apply for Medium ranked NITs such as NIT Nagpur, NIT Raipur, NIT Bhopal, NIT Rourkela,but you may not get higher branches.If you want higher branches then you can get NITs from North-east.
You can also check for Colleges on https://engineering.careers360.com/jee-main-college-predictor

Hello student, Greetings from Careers360.com!

With a rank of 6,417 in the OBC category, you may get NIT's in Nagaland, Meghalaya for which the closing rank was around 12,000 in the OS quota. However, you can predict the colleges which you are likely to get using the link given below:

https://engineering.careers360.com/jee-main-college-predictor

Good luck!

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