Engineering

Use college predictor link to know about the college you can get: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

No, there is no entrance exam. The admission is on merit base.
Good luck.

According to my knowledge, their placement is 80-85 percentage and their average package goes to 3-4 LPA. If you perform well then you can get admission. Good luck.

According to my knowledge, you will get admission on the basis of JEE Mains score. There is no good university provide admission on the basis of class 12th. Good luck.

Ample of opportunities are available nowadays especially in Computer Science. Industry is looking for younger generation with good algorithm design skills. The student must possess the good at technical and communication skills. One must have the idea of Machine Learning, Data Science and algorithms basics for today's job market. Wish you all the best.

The only difference that matters is this:
"The B.Tech course is somewhat more practically intensive than the BE course which is more theoretical"
The difference (which is quite minor) between the two degrees can be understood from their names itself, Engineering vs. Technology.

If you have really good score in any of the entrance tests like JEE Mains and got a gold rank, then you can get admission in government colleges. Each college has its own cutoff which depends on which college you are going to apply.

Please use college comparison tool:
https://www.shiksha.com/resources/college-comparison