Engineering

Hi Ranjan,
You need to clear GATE exam. As M.Tech could be pursued only when GATE exam is cleared and once you clear that you also become eligible for Ph.D. So you should clear GATE exam.
Good luck

Yes, you can get lateral entry or you can start with first year, based on your performance.

Previous year, it was 34.7 for general, 31.2 for OBC and 23.1 for SC/ST/PH.

You can go for the electrical and electronics engineering. It is offered by various universities like AKTU.

You can check the probability of getting a college here:
https://www.shiksha.com/b-tech/resources/jee-main-rank-predictor

If you want to get a good college and you have enough dedication and confidence. You should drop one more year rather than doing B.Tech and preparation simultaneously. B.Tech has its own wide syllabus, it will not going to be easy to accomplish both task together. If your college is good, then focus

You can pursue BE in EEE for higher studies, government jobs, etc.

Yes, there are many colleges that offer 2nd shift but I do not think there is anyone for civil branch.

Maths is there in computer science engineering in first 3-4 semesters. Physics and chemistry are taught during the 1st year only.