Electronics Engineering

You can go through www.sgsitsindore.in for all the details related to fee.

Yes ofcourse you are eligible for GATE. This is one of the exam held for doing the post graduation courses in IITs and top colleges.

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
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There is no best coaching, because everybody likes to claim themselves as best. If you really want to prepare, please don't go to these so-called coaching centers. Instead, get in touch with any NID or CEED qualified student and take his or her feedback/guidance. Designers are generally very friendly people, you just need to ask for help. All the best.

Well, both the branches have their unique importance and are also correlated with each other. It depends on you whether you like designing or field work. Electronics majorly is device oriented study while electrical is all about setup of the devices. Well there is pool of government job in both the branches and you can avail in private sector also. ECE people are great for CS, IT branch work. If you have knowledge or interest about computers than ECE can unlock more opportunities for you while electrical will give you more exposure of site work.

There are lots of colleges there offering the same branch and many other branches at the subsidized rate which the private college charges for the same branch.
Like:
IET, Lucknow
HBTI, Kanpur
KNIT, Sultanpur
GBPIT, Pantnagar

See, CS and IT are almost same in terms of the syllabus and the kind of job the engineer does. In electronics engineering, you have work in the manufacturing of the different electrical devices like refrigerator, AC and televisions, etc. In electronics and communication engineering, you will be deployed in the field of above-mentioned manufacturing plus in the communication devices making equipment.