GATE

There is no bar for appearing in GATE examination for the candidates who completed their M.Sc. Degree through the distance mode. So you are eligible to appear in GATE exam.

MIT Muzaffarpur is situated in Muzaffarpur and they Conducting M.Tech Courses through GATE Exam score. The total number of 36 seats are available in M.Tech. (Machine Design) and M. Tech. (Thermal Engineering) at M.I.T., Muzaffarpur. Thermal Engineering 18 Seats are available and Machine design 18 Seats are available in M. Tech. The GATE scores above 500 can be safe here for M.Tech admission. So yours chances of getting admission here are moderate.

Yes this is possible but applicable for IITs graduates only. The IIT graduate who completed their B.Tech with 8 or above CGPA are eligible for M.Tech admission without GATE scores in IITs.

Yes you can get admission in M.Tech without GATE in IITs. For admission to M.Tech programmes, candidates with B.Tech. From IITs, graduating with a CGPA of 8.00 or above, are exempted from qualifying GATE. If shortlisted, they will be interviewed through video conferencing.