Hello,

here is the link to the list of colleges which provided automobile engineering as btech course  :- https://engineering.careers360.com/colleges/list-of-automobile-engineering-colleges-in-india

Every college provides lateral entry so you can take an lateral entry in any college provided you satisfy their eligibility and selection criteria.

fee structure will be around 6-7 lakhs on an average for total 4 years and for lateral entry it will be 4-5 lakhs. It depends on the college  you join. Fee structure vary from college to college.

Hope it helps!