Electronics and Telecommunication Engineering

Yes, you can get a job in local companies based in Bangalore/Pune/Mumbai/Delhi. If you are good in technical, than it will be easy. Many start-up companies look for technical skills over academics.

Yes, you can go for Masters after B.Tech. You can go for Robotics, VLSI, Digital Communication. Switching to design field will be bit difficult. You can go for designing in some field related to EXTC.
One more option you can look for is MBA in designing.

Hello Gouranga,
Nowadays, government jobs are shrinking and you shouldn't restrict only to it. Diploma is a very good platform and it is a job oriented course. You will have plenty of opportunities.

India being an IT hub have more scope for the computers branch.

PG Diplomas in Embedded Systems, VLSI etc to enhance your chances of employability in the field of Electronics. You can do Diploma in Software engineering or testing or Data Analytics to do job in IT.

Courses in demand are electronics and communication, electrical and electronics, computer science and engineering, instrumentation and so on. Considering the trends is industrial growth the world over, electronics and computer science streams seem to have good prospects. One cannot certainly predict which stream will be better in future. The scope again depends on the qualities of the person who is entitled to compete in the job market.