If u prefer college over branch then after MIT,BCE u can go with Darbhanga,Nalanda, Motihari,Gaya,Chhapra.at this rank u will not get MIT/BCE but u will remaining colleges which I have mentioned in my post.

• Bakhtiyarpur College of Engineering, Patna
• Bhagalpur College of Engineering, Bhagalpur
• Motihari College of Engineering, Motihari
• Darbhanga College of Engineering, Darbhanga
• BP Mandal College of Engineering, Madhepura
• Nalanda College of Engineering, Chandi
• Katihar College of Engineering, Katihar
• Loknayak Jai Prakash Institute of Technology, Chhapra
• Gaya College of Engineering, Gaya
• Sitamarhi Institute of Technology, Sitamarhi
• Shershah College of Engineering, Sasaram
• Rastrakavi Ramdhari Singh Dinkar College of Engineering, Begusarai
• Muzaffarpur Institute of Technology, Muzaffarpur