India

For list of colleges offering B.Tech in Automobile Engineering in India, kindly refer the link below:
http://goo.gl/Eiur9I
Kindly filter out the branch / college / location as desired from the above link. Regarding management quota, you need to contact the institute officials personally for specific admission details as it differs from one college to another. Also, Germany is very much known for its technological advancements, especially Automobile and mechanical. Few good universities that you can look for are
Hochschule Albstadt-Sigmaringen, RWTH Aachen University, Esslingen University of Applied Sciences, University of Applied Sciences Ingolstadt /
University of Applied Sciences Landshut, etc. Most of the universities have English as the medium of teaching. For admission you might have to give GRE and IELTS / TOEFL. Also education in Germany is government funded, there is a possibility that you might have to pay a minimal fee ranging from euro 140-500. For more information on German Universities, I would request you to visit the nearest DAAD office. DAAD is officially authorized to provide information about education in Germany. They have offices in major cities in India. If possible go for a German language course as it will help you find a part time job. A student in Germany can work 90 full days or 180 half days. Hope this information helps. Please feel free to revert.

Tamil Nadu is one of the most literate states in India. There are many good government colleges. There are many companies here because of more skilled labor, man power, and resources. Here are a few good government colleges which one can opt over private college:-
1. College of Engineering Anna University, Chennai
Constituent college est. In 1794
Exams Intake:- TANCET
Total course:-62
State Rank:-AAA+
Placement:- Rs 4 Lacs to Rs 5 Lacs per annum average salary job are offered to the student.
2. Coimbatore Institute of Technology, Coimbatore
State Rank:-AAA
Gender Ratio:- 13:1
Total faculty in the college:- 249
Placement Details:-
http://www.cit.edu.in/placementcit/placement-records/
3. Kongu Engineering College, Perundurai
State Rank:- AAA
Gender Ratio:- 17:1
Total faculty in the college:- 445
4. Madras Institute of Technology, Chennai
5. Alagappa Chettiar College of Engineering and Technology, Karaikudi
6. Alagappa College of Technology, Chennai
7. Anna University Tiruchirappalli, BIT Campus
8. Government College of Engineering, Salem
9. Government College of Technology, Coimbatore
10. Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram.

Here is the list of top colleges in Telangana -
1. Indian Institute of Technology, Hyderabad
2. International Institute of Information Technology, Hyderabad
3. National Institute of Technology, Warangal
4. BITS Pilani- Hyderabad Campus, Hyderabad (Even if private - worth it)
5. Maturi Venkata Subba Rao Engineering College, Hyderabad
6. CVR College of Engineering, Hyderabad
7. Gokaraju Rangaraju Institute of Engineering and Technology, Hyderabad
8. Chaitanya Bharathi Institute of Technology, Hyderabad
9. VNR Vignana Jyothi Institute of Engineering and Technology, Hyderabad
10. JNTUH College of Engineering, Karimnagar
11. Kakatiya Institute of Technology and Science, Warangal
12. G Narayanamma Institute of Technology and Science (For Women), Hyderabad
13. JNTU College of Engineering, Hyderabad
14. University College of Engineering, Osmania University, Hyderabad
15. Guru Nanak Institutions Technical Campus, Secunderabad.

After your BBA, I can assure you that you can get a job in India. To get an internship or placement, only BBA degree won't help you because of huge competition as you are aware of it. Especially aboard, they mostly entertain MS students. So, if you want to get placed aboard, I would suggest that you pursue a postgraduate degree like MBA so you will be having an edge to get placed aboard. Now coming to the placements in India, initially, I mentioned that yes from ABBS you can get placement assistance. BBA nowadays, is grooming very fast and once you complete your BBA degree then you are able to get a job at the operational level. In other words, an entry level job depending upon your BBA specialisation. In ABBS, definitely, I would suggest you to take marketing specialisation in BBA. Finally, I would like to conclude my answer that yes opportunities are there, but it's always good to go with a higher degree.