Well I think I am qualified enough to answer this.I am a btech graduate from NIT Calicut and pursuing mtech mechatronics from IIT Patna.
So I know how the things are there in NIT and IIT Patna. Now talking about CSE in IIT Patna or any NIT one will always get 100% placement anywhere.Now IIT Patna or for that case any IIT is better than a NIT for following reasons:-
Good placement,Better research facility,Better and more opportunities like IIT Mtech Sandwich program for studying in Germany and many more.
P.S:- It’s not only about IIT tag but it’s about things what an IIT offers.