Design Eligibility

Yes, National Institute of Design offers B.Des.and M.Des. in product design.
Eligibility criteria for the same:
B.Des - A General category candidate should not be more than 20 years old and this age limit can be extended to another 3 years for Reserved categories. The candidate must have completed or must be completing his/her Higher Secondary education or equivalents like AISSCE/IB/ISC.
M.Des - A General category candidate should not be more than 30 years old and this age limit can be extended to another 3 years for Reserved categories. The candidate must have completed or must be completing his/her Bachelor's degree or an equivalent Diploma. Degree in design, engineering, technology or architecture, or a recognized Diploma in Design are the most preferred academic qualifications.

Hi Runal,
First of all you need to be clear on what kind of Automobile Designing course you are looking for. Automobile Design (where you design machine, engine, chassis etc.) or Automobile Design (Creative Design field). I can help you out with creative design field. To know more about it, you can go through the following links:
http://www.nid.edu/education/master-design
You can quickly read about different courses and MDes, Transportation and Automobile Design (TAD).
You can also explore the below link for IDC (Industrial Design Center), IITB for MDes (Mobility and Vehicle Design):
http://www.idc.iitb.ac.in/academics/mobility_&_vehicle_design.html
If you patiently explore the links, you will know all about requirements and eligibility criteria, if you are looking for creative automobile design field.
Above two given institutes are the top design institutes of India.
All the best!