Hi,

All the 31 NITs are central government funded and come under central government only. They accept students on the basis of mainly JEE Mains percentile. They also have a state quota for the states they are situated in.

Here is a link where you can find the list of all the NITs in India: https://engineering.careers360.com/articles/jee-main-participating-institutes

You can also refer to this link for all the cut offs for different NITs https://josaa.nic.in/Result/Result/currentorcr.aspx

I hope this helped you.