Hi, yash.

To get into IIT and NIT, there's always heavy competition due to it's high reputed colleges.

With your 60 percentile in the JEE mains, your rank would be in between the range of 27 and 38.

Your rank would be ranging in between 490000 to 600000.

With that rank it is almost not possible for you to get into well reputed colleges of NIT.

but you can certainly try to get into north east NIT as they have huge seats you can get your admissions there.

For more information about the NIT colleges cutoff, please check the link below 

Https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff/amp

Goodluck 

Hi Yash You may get chance admission into good NITs based on your PWD category rank Definitely you scored better