M.Tech

Yes, it doesn't matter. You can also be eligible for GATE Examination. Best wishes for your future.

Hello Mohamed,
To get admission at VIT-Chennai, you have low chances only but you can get if you can pay more money than what is being specified. VIT Bhopal is also a good one as it is a newly developed institute but is not equivalent to VIT-Chennai.

Andhra Pradesh-EAMCET 2018 College Predictor:
Use your Andhra Pradesh-EAMCET 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack.
The result is based on admissions data of Andhra Pradesh-EAMCET 2017:
Get resources and insights on colleges & courses:
https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor

If you plan to skip college and rather study at a coaching centre. Small colleges usually don't have proper faculty or means for students. You will have a hard time understanding even basic concepts let alone the preparation of GATE.

B.Tech is better.

Of course, a dual degree would be good. But, at the end, it depends on your field of interest.

B.Tech + M.Tech combination is more of the technical side, which will help you to pursue the research work or be in teaching domains. Whereas, B.Tech+MBA will help you to have managerial exposure in the technical domains or only managerial side.
Both of them are equally good. It purely depends on you what part you are interested in only technical or both managerial or technical.

Yes, but makes no sense. You can sit for off campus interviews in a metro city.