IIT Kharagpur - Indian Institute of Technology Answered Questions

Firstly, just make your question clear because after clearing 12th board exam, just clear the JEE mains and advanced entrance exam and clear the cut-off respective IIT and you're eligible for admission in B.Tech.
After doing B.Sc in science course, you can do MSc in IIT by clearing the entrance exam of JAM. After doing B.Tech clear GATE and do M.Tech. You can also do PhD in IIT. So, just make sure what you actually like to do and mainly focus on the course first college should be second priority because getting a desired course will only help you survive and helps you create your better future.

The best tip is to do the smart work rather then the hard work and now understand how you can do the smart work rather than doing hard work. Like taking out the blueprint and understanding the main thing what is the most important thing in the syllabus.

Yes, they provide good placements facilities to executive MBA aspirants.
Visit the link for details: https://www.shiksha.com/business-management-studies/course/executive-mba-vinod-gupta-school-of-management-indian-institute-of-technology-kharagpur-168740.

I can answer the question for the M.Tech students. In 2015, 2016, 2017 placement sessions, the companies in which the M.Tech candidates got placed are as follows:
Pfizer, Honeywell UOP, Parul University, Cognizant, Lanxess, Aditya Birla Science & Technology, Hikal, EXL Analytics, Tiger Analytics, IOCL RnD, and few more.