In order to become Automobile Engineer, JEE Main is the National level exam for the admission of Engineering Programme. As per the eligibility to get admission in IITs, NITs, IIITs, GFTIs, You should have minimum 75% in class 10+2 as General category & 65% as a reserved category Or you should be in top 20 percentile in your 12th exam conducted by the respective board. You can check the eligibility of the exam with the given below link.

https://engineering.careers360.com/articles/jee-main-eligibility-criteria

There are other your state level & university level exam you can apply.

Automobile engineering colleges you can check with given below link.

https://engineering.careers360.com/colleges/list-of-automobile-engineering-colleges-in-india

Good Luck!