M.Tech

Hello, B.Tech provides the exposure to different spheres in broad manner unlike M.Tech in which one needs to narrow their subjects and have to go via detailed study of the chosen subjects. Therefore, you rather need to strengthen your concepts in graduation on the regular basis for yielding fruitful results in the M.Tech.

M.Tech in VLSI and embedded is good in DY patil pune

The opportunities that you can get is that after M.Tech you should also go for research filed and be a professor.

This university conducts its own entrance exam. Also AIEEA-PG which is conducted by ICAR also grants admission to PAU.

Instead of doing part time B.Tech you should go with the part time M.Tech because Bachelor degree is for basic concepts in any course Bachelor degree will give you strong base form beginning to advance. So, as of my point of view, you should go through with full time B.Tech course and part time m tech course.
All the best.

That is one of the problems of Government College in India but don't worry try to contact ex-student of that college or do some online research.

The top institutes in India such as IISc Bangalore, IITs and NITs give Tequip on basis of ranking. Some other institutes such as SRMIT-Chennai, VIT also gives stipend as a Researcher.

I guess, you are a bit confused in understanding the eligibility criteria with 10+2. It means, your class 12th or PUC grade, not your class 10th. So, better start focusing on your subject to get your dream college.

Yes, you are eligible to attend the exam.