You have to go for the mechanical engineering because of the subject interests 

Electrical - 1
Mechanical - 2
Petroleum -100

You can do B.Tech from IITS, NITSs, BITs, VIT, SRM, Manipal and etc. Once you are done with your graduation in engineering, you can give Gate exam to pursue M.Tech from IIT. This will be really good for your career. And if you talk about branch then Mechanical comes first then Electrical and lastly I would consider Petroleum.

Hope this helps!!!

Good Luck!!!

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