Dear Ashutosh,

These are some of the best colleges providing Mtech. Automotive design Engineering degree in India-

• Amity University - Lucknow
• Lovely Professional University
• Rai University
• K.R. Mangalam University
• Chandigarh University
• SRM University
• IIT Madras
• Vellore Institute of Technology 
• PES University

Please make sure that you are eligible for your desired college.

I hope i was of some help, good luck!