KIT College of Engineering, Kolhapur

I searched in the official website of MHSSCE, but I didn't find anything about Diploma in Automobile Engineering. Instead, I got information about B.Tech in Automobile Engineering. I would like to suggest you that you directly contact them, following link will direct you to their contact details.
http://www.mhssce.ac.in/CNT/LCMP.php

Please refer to the link provided below for details regarding an M.Tech program from B.V. Bhoomaraddi College of Engineering and Technology. You should be able to download college brochure from the link provided below for important dates regarding entrance exams conducted by this institute. Regards.
https://www.shiksha.com/engineering/course/m-tech-b-v-bhoomaraddi-college-of-engineering-and-technology-hubli-197937

The course Automobile Engineering in Amal Jyothi College of Engineering is approved by AITCE, so that is a good thing. But, coming to the placement section, I didn't find much automobile companies. And, for getting admission there, I think you should give an entrance exam. I would suggest you to directly contact them and ask about the entrance exam, following is the link where you can find their contact details.
https://www.ajce.in/home/index.html

Admission is based on the marks obtained in graduation. Interested candidates can apply online with the required information.
Eligibility:
Candidate must be a graduate from a recognized university. Regards.

Interested candidates can apply online with required information. (Website:- http://www.cet.ac.in/). Regards.

MS Ramaiah is far better in terms of placement as it has variety of branches and placement cell is well developed so students get more opportunities with decent packages.

Please refer to the link below to know about the eligibility and other details:
https://www.shiksha.com/architecture-planning/course/b-arch-college-of-engineering-trivandrum-thiruvananthapuram-181429

Hello Rohan,I am attaching a link that will enable you to find answer to your queries. However i want to caution that the results are based on statistics of previous years. Actual position may differ based on how tough or easy the exam was this year.https://www.shiksha.com/b-tech/resources/mhcet-cut-off-predictor