Hi Nandini, 

Visvesvaraya national institute of technology is one of the best engineering college in India and it is established in 1960 by government of India. VNIT is a public engineering and research institution in India, it is located in Nagpur.

Your rank is above 50k but you can get VNIT Nagpur by chance because 55,769 rank is very high and if you want to take admission in VNIT the possibility of getting good branches is low but you can also get non core branches like petroleum engineering, biomedical engineering etc.

You must go through online counseling procedure and fill the top branches of VNIT in choice filling process and I assure you will get them if not in a 1st round then surely in 2nd or 3rd round .

Hope this information help you.