B.Sc Preparation

No, this option is not available in any university.

You can find previous year questions in Arihant etc. Books, The syllabus can be found at:
https://www.jmi.ac.in/studyatjamia/Syllabi/entrancetest.

Of course, you only need a degree. Prepare well for CAT and interview. Best wishes.

All you have to do is manage your time likewise. You should maintain a balance between both of them. Pay proper attention to the course curriculum in the college and invest rest of the time in the IAS preparations. If you are taking coaching for that, then it might be more difficult because of the timings. Try if you can adjust without them or try to get into weekend courses. This might be exhausting times of your life, but believe me, the result will be as good.

Hello Harsh,
Please look at the reality. You say you have dropped one year for preparing for JEE Mains. Can you get better results if study along with B.Sc? But you can always try. Yes, admissions in IIM are given to graduates of different disciplines.

Once u enter into BTech or Bsc,it is impossible to design a time table which allows u to concentrate on both academics of JEE and ongoing college activitiesnIf u R really determined to crack the xam,u can take a risk of dropping an year else continue BTech and work hard in scheduling a proper strategy.
Note : U need to be very serious in Dis path because there will be lot of distractions in college curriculum which might not suit ur plans.

You must look for field of robotics with Artificial Intelligence, its a growing field. You can go for GRE and look to pursue robotics from any foreign university. In India scope is very less, in India IITs, IISC, ISRO, IIST will have some courses related to robotics. But its better to pursue this field in foreign university.