M.Des

Hi Rohit,
Top universities with automotive design programs are:
1. Esslingen University of Applied Sciences.
2. Pforzheim University of Applied Sciences.
3. The Westschsische Hochschule Zwickau and
4. RWTH - Aachen University.
The name of the program is not M.Des though and goes by the names of MS in design and manufacturing, MS in automotive engineering and MS in product design.

Yes, it is a good option to pursue designing courses. You can also opt for MIT or Symbiosis.

If you have already done graduation in design (B.Des), you should try to get in National Institute of Design (NID), they have 20 different streams in design. You can take the specialised course of your interest. There are several other Institutes for design in India like IDC, IDDC, CPDM, etc. And believe me to be a good designer, you don't necessarily have to be a good engineer, basic knowledge will also work.
For more details, kindly visit the link mentioned below:www.nid.edu
You should opt for M.Des abroad.

For B.Des in DYPDC, you must have to clear your class 12th in any stream. For M.Des, you have to clear your graduation in any stream.
For more details, you can check the below mentioned link:
www.DYPDC.com

You can pursue M.Des from the topmost colleges by qualifying IIT CEED exam.

Dear Abhay,
Have you decided where to apply? The entrance exams will differ. If you are planning for USA, you must take GRE and an English language test such as IELTS or TOEFL. A portfolio might be required too. For other countries, GRE is not required on the whole, you must still take the English language tests.

Yes, you are eligible for both the courses. But, you will have to appear for entrance tests and get a good rank to get admission in the top colleges.