Mechanics

A diploma holder can join B.Tech course (regular or distance) by D2D process after completing Diploma in Engineering. B.Tech program allows Diploma students to take entry directly into second year of engineering course.
For taking admission in B.Tech, you must have done at least 3 years diploma after

https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor?utm_source=shiksha&utm_medium=email&utm_campaign=clientmailers
Use this link to predict college you may get seat.

Please check for your eligibility to pursue M. Des from the criteria mentioned at the link provided below:
Master of Design (M. Des. ): Eligibility:
The eligibility to pursue Master of Design, one need to have a Bachelor of Design or Bachelor of Architecture degree with a minimum of 50% marks. There a

You can apply to:
1) Princeton University
2) Columbia University
3) Illinois University

B.Tech+MBA is a good combination. The 70% crowd of IIMS consist of engineers. I myself is an engineer and now pursuing MBA from Doon Business School, Dehradun. I got into the college with 93.5%ile in CAT.

Yes, it's good enough for BE mechanical and you can join with 165+ itself. Placements also will be provided for mechanical department.

Yes, you have chances to get in NITW mechanical engineering. Maximum you will get it in case if you missed it you will get civil engineering for sure.