GATE

First, you join good institute near you like TIME, IMS, Career Launcher, etc. So that you get a better idea of how to solve Questions Papers, Basics, Tricks, etc.
But just joining an institute is not okay.
You have to work hard, keep practising maths problems, logical reasoning, English grammar and all.
As you said, you are in the 2nd year so first, you have to focus on your graduation that is also important, start preparing for CAT in last year or I would advise you to after B.gain 1-2 years of work experience after B.Tech and then go for MBA as it would be better for your admission and placements.
Best of luck.

After your M.Tech, your entry cadre will be that of Assistant Professor. You can make a career progression to Associate Professor and Professor later on with experience if you have a Ph.D.

Hello Parth,
These two coaching institutes are best for GATE preparation:
1. The GATE Academy, Ahmedabad
No. 323, 3rd Floor, Sunrise Mall, Near Manasi Circle, Vastrapur, Ahmedabad, Gujarat 380015
2. Ice GATE Insitute
201, Sunrise Mall, 1st Floor, Near Mansi Circle, Vastrapur, Ahmedabad, Gujarat 380015
All the best.

Hello Lovely,
Please follow the link provided below for complete details about the books according to your branch form which you have done your B.Tech:
https://www.shiksha.com/engineering/articles/gate-books-blogId-21817

You're can choose any stream for that, if you have good knowledge then you can get job easily in PSU sector, but choose that stream who you study and know properly.

Hello Kunal Shinkar,
Yes, GATE score is used in many PSUs for recruitment:
So, try to score high in GATE exam, & get a job in PSUs.
Check how to get a job in PSUs: https://www.youtube.com/watch?v=HFjFFBcUW2A

It cannot be predicted. You can get information from college and their required cut-off. So, please visit the college website for more information about VLSI, If you need any further information or help, please ask frequently.