Hii,These are my personal opinion ,One may disagree.

Though both the colleges MIT MUZAFARPUR & BCE BHAGALPUR are State govt colleges,each one of them have thier own merits/demerits.But for many reasons MIT Muzaffarpur seems to be a better choice.

Location of Campus: MIT is at prime location and its easy to access Patna for Weekend Classes(75% Attendence issue in colleges) for competetive exams like GATE CAT etc

MIT Students, that too from core branches tend to have better Campus placements opportunities.

Other Extra Cirricular activities like Sports events,Culutural Clubs ,Technical Club are more active.MITians have been shown their talent time & again in various state &national level events.