Mechanical Engineering

To start with, take a look at some of the business schools in Germany. You will need resume, LOR from your employer, GMAT and TOEFL/IELTS score to apply.
http://find-mba.com/schools/europe/germany

Yes it is also a good college. It's placement is also quite fine. But remember one thing that college will give just a platform to show your skill not JOB. So focus on improving your qualities and try to express it so that you could be one of the best engineers. All the best for your future.

Definitely it's one of the best institution in India . If you are getting admission for mechanical in this college you could perceive good knowledge and experience. Also its placement assistance is better as compared to another colleges.

Better if you do M.tEch or MS in mechanical engineering. You can have more scope and job opportunities if you do Masters in the same field of Bachelor'sAll the best

Can't say about the branch, but you'll get a NIT.

if u want a job then M.Tech is not suitable since this degree is required specially if u are interested in academic professions.otherwise MBA would be preferred.all the best!

Teaching professions are always encouraged in india so there are good opportunities in teaching profession especially when there are so many engineering colleges in india. best of luck!