yes, you government jobs after doing Btech from MNNIT Allahabad then you may apply for GATE that also helps you get the government jobs in Bihar and you also apply in Bihar government jobs which comes every year in all that government jobs you are eligible for that.
All the best.
Candidates can check B.Tech Cut off for Top IITs & NITs here.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile