Electrical and Electronics Engineering

My opinion is to go with ECE at NIT better then EE at NIT, Jaipur.

Follow the MHTCET college predictor below for details around college and course :
https://www.shiksha.com/mhcet-college-predictor

Hello Nikhil,
Ye,s you are eligible for Automobile Engineering after completing B.Tech in any stream. You have to give GATE in ME subject for that. You can take Admission in Colleges which offer M.Tech in Automobile Engineering. List of Colleges offering M.Tech Automobile Engineering is in the link below. https://www.shiksha.com/engineering/colleges/m-tech-automobile-engineering-colleges-india
If you are satisfied with my answer, then please Upvote it. Thank you and All The Best!

If you choose Civil, Mechanical, Electrical, then it is better, because subject which has been taught in these branch are available as a main subject for IAS main exam.

Hello Karthik, Aah! You are in a typical Shakespearean dilemma! Calicut as well as Nagpur, both NIT' s have quite good reputation. Therefore I would like to advise you that you can take admission in the NIT which is convenient to access and commute from your home.