Biomedical Engineering

Yes, you can do M.Tech in Biomedical Engineering. The eligibility criteria of IIT Mumbai is given below:
1. Eligibility criteria (Qualifying Disciplines) : B.E. /B.Tech. /AMIE or equivalent in Biomedical Engineering (BM), Biotechnology (BT), Chemical Engineering (CH), Computer Science and Engineering/ Information Technology CS Electrical Engineering (EE), Electronics/Telecommunications Engineering (EC), Engineering Physics (EP), Instrumentation Engineering (IN), Mechanical Engineering (ME), Metallurgy & Materials Science (MT), Pharmaceutical Technology (PY), Other Engineering (ZE).
2. You have to give Bio-medical Engineering GATE paper with code no. BM for admission in M.Tech courses.

Here are reasons to do MBA after engineering
An obvious post-graduation option for an engineering student would be a Master's in engineering. If you are interested in managing a team of people or an organisation rather than doing a hardcore technical work, a management course would be the best way. An engineering programme usually lacks this aspect of exposure to management and business-related issues. There are also options of technically oriented management degrees which gives specific attention to the core you choose. This is also suitable for an engineer who would want to level up their career by getting into managing posts. Also, many managerial posts require knowledge in finance, marketing, statistics or strategies. It all depends on the specialisation you select. Benefits of MBA after engineering
Get a big picture of the job: Speed up the pace of your engineering career with the help of the MBA knowledge which would help you know the business perspective of your job. Understand the hierarchies and work towards the growth in your career rather than keeping it stagnant. Get out of dealing just with the theoretical components and become involved in the real business. Also, the new-age companies want engineers who are equally good at teamwork and managerial skills. This would be best satisfied by getting into a management programme. Develop your interpersonal skills: An expert-level technical knowledge would make you the best engineer out there, but that is not enough to achieve a wholesome success in the career. An MBA programme offers a lot of opportunities that give a better shape to your personality by helping you develop communication skills, adaptability, leadership skills and many more. This will help you move smoothly on the path of achieving your ultimate goals. Becoming an entrepreneur: For someone who had specialised in engineering and developed their own product, the next big step would be to commercialize or market the product for common use. This may be best done if you are your own boss. An engineer with management skills knows the right way to implement hardcore technical knowledge with management skills. They would develop a good team that would run the enterprise efficiently while taking care of the technical part personally. Visit http://lexiconmile.com/Does_MBA_help_after_engineering.php to know more.