What are the institutes that offer the courses of the car design in India as I am looking to make my career in the field?

The careers that you are looking to get into comes in to the category of the Automobile Engineering.

Here are some of the colleges that offer the courses of the Automobile Engineering in India-

University of Petroleum and Energy Studies
Bidholi Campus Office Energy Acres, P.O. Bidholi Via-Prem Nagar
Dehradun, Uttarakhand
(0135) 2776201, 2776061, 2776053 (Toll Free No. 1800-102-8737)
(0135) 2776090, 2694204.

Amal Jyoti College of Engineering
Koovappally, Kanjirappally
Kottayam, Kerala
(04828) 251661, 251895
(04828) 251136.

Amarnath College of Engineering and Technology
Near Bhagat Singh Park
Sirsa, Haryana
(01698) 225619.

Anna University - Chennai
Sardar Patel Road, Guindy
Chennai, Tamil Nadu

Ansal University (AU)
Sector 55, Golf Course Road
Gurgaon, Haryana
(0124) 4750400, 4750501
9910122364, 9560470111.

Arya College of Engineering and Information Technology (ACEIT)
SP-42, RIICO Industrial Area Kukas, Delhi Road
Jaipur, Rajasthan
(0141) 6604555, 2621967, 2621969, (Toll Free No. 1800-266-2000)
9314881683, 9829158955
(0141) 2621970.

Aryan Institute of Technology (AIT)
13, Km. Stone, NH. 24, Jindal Nagar
Ghaziabad, Uttar Pradesh
(0120) 2718864, 2718756, 2719525
8859502100, 8859502101, 8859502102
(0120) 4374865.

Biju Patnaik University of Technology (BPUT)
Rourkela
Rourkela, Orissa
(0661) 2402560, Camp Off. Bhubaneswar: (0674) 2352223
(0661) 2402556, Fax: (0674) 2352329.

Career Point University
Alaniya
Kota, Rajasthan
(0744) 3040045
8094161999, 8094162999
(0744) 3040050.

Delhi College of Technology and Management
77th Km Stone, NH- 2 Gudhrana,
Palwal, Haryana
9910883592, 9891122933.

Gautam Buddh Technical University (GBTU)
Gautam Budh Nagar
Lucknow, Uttar Pradesh
(0120) 2344234, 2344200, 2732193, 2732195, 2732194
(0120) 2344205, 2732185, 2732196