VNIT Nagpur - Visvesvaraya National Institute of Technology

Yes, by going through last years cutoff you will get NIT for EEE.

Yes, according to your marks combined with your category, you'll definitely get into VNIT. Moreover, I would suggest you to go for better NITs as there are higher possibilities for them too.

Mining engineering at VNIT has a good scope as the college sources Engineers required for many coal fields in nearby areas. In fact that was the reason for starting Mining engineering course in 1982. Yes, you can get direct admission by management quota.
Good luck

Yes, you can get this college by your NATA scorecard.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=7476690
Just follow the link.

Please use Shiksha's college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

The JEE Mains cutoff for VNIT, Nagpur was 150 in 2017.

Here, admission is done through JoSAA counselling based on the rank obtained in JEE Mains. NATA score is also valid in here.
According to the stats of JEE Mains 2017 Paper 2, a rank of 2500 in B.Arch paper helps to get a seat in architecture and planing in VNIT-Nagpur. It is a pen and paper based entrance exam. The fee structure is also feasible here. The fee structure is INR 39100 per semester. Yes, it is affordable as there are many scholarships and loans are also provided for the students who are not capable of paying the fee.
I hope that can you clearly estimates the rank for ONB as well in VNIT through above details.