Good chances for following colleges into Mechanical engineering as you have good conversion prospects :

• Sitmarhi institute of technology
  
  
  
• Loknayak jaipraksh college of engineering
  
  
  
• Supaul college of engineering
  
  
  
• Gaya college of engineering
  
  
  
• Shershah college of engineering
  
  
  
• BP mandal college of engineering
  
  
  
• Purnea college of engineering.
  
  
  
• Nalanda college of engineering
  
  
  
• Motihari college of engineering.
  
  
  

https://engineering.careers360.com/college-predictor-result/104440?s=68060578291532330184