My youngest brother got rank 3165 in EBC Catgeory . can he a chance to admin in NIT PATNA or MIT college?

MIT Chennai is based onnTNEA scores and NIT Oatna is based on Jee Mains, so no chnaces expected with BCECE scores at above colleges.

No chnaces with MIT Muzzafarpur and BCE Bhagalpur as well.

However he can get following colleges under BCECe ;

• Purnea college of engineering
  
• Shershah college of engineering
  
• Suharsa college of engineering
  
• Supaul college of engineering
  
• BP mandal college of engineering.
  

https://engineering.careers360.com/college-predictor-result/104440?s=50859041811531123115

Well, there is little hope and can't assure you about that too so for further clarification regarding the cutoff refer to JOSAA website to check for previous year closing rank for the various institutions. For MIT please clarify which one...!

Good Luck!