Hello Pravesh ,

Generally , Automotive Design , Automobile Engineering , Mechanical Engineering e.t.c. If you have to take for Undergraduate courses and Postgraduate courses also available for these course . Here i am providing some colleges list in India offering these courses .

1. Indian Institute of Technology ,Bombay .
2. Manipal Institute of Technology .
3. College of Engineering , Pune .
4. SRM Institute of Science and Technology , Chennai .
5. RV College of Engineering .
6. Vellore Institute of Technology .
7. Indian Institute of technology , Madras  .

If you want more information go through this link you get some idea .

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india?branch=Mechanical%20Engineering,Automobile%20Engineering,Mechanical%20Engineering%20-%20Design%20and%20Manufacturing

I hope you got it !!!!!

All the best !!!!!