Dual

Yes, you can apply for the integrated BCA course. To be eligible for the course, you only need to have cleared your 10+2 from a recognized board of education in any stream with an aggregate of 50% marks in the best 5 subjects (including English). Having IP in HSC is not necessary.

You need to have a valid CAT/MAT/XAT score for getting admitted into an MBA programme. I suggest to take at least two among these tests and then apply for admission.

Hi, Placements (as provided by college)
Companies / Recruiters who visited the campus
Airtel Axis Bank Berger Paints CEASE FIRE Coca-Cola Fedex Express Genpact GODREJ HCL Hyundai ICICI India Mart information Edge (India) Ltd. Jaro Education JK Technosoft Johnson Kotak Bank Mancer Consulting Pepsi RBS (Royal Bank of Scotland) Reckitt Benkiser SCHNEIDER ELECTRIC Tommy Hilfiger Vodafone Wipro
https://www.shiksha.com/bba/course/integrated-bba-mba-doon-business-school-Dehradun-287628

Yes. You should clear all the requirements which you would find on the website!
Except that admission is based on VITEEE only!

Nope. Entry is same as for B.Tech only!

Some of the best colleges in Ahmadabad where you can pursue an integrated B.Sc+M.Sc (IT) course are as follows:
1) M G Science Institute
2) St. Xavier's College Navrangpura
3) K. Shashtri Government Science College
4) Gujarat Arts and Science College
5) School of Computer Studies
6) Division of Biological & Life Sciences, Ahmedabad

Yes! After completing graduation that is B.A.-L.L.B/B.B.A.-L.L.B/L.L.B, you can apply for lower judiciary exams and can become a first class Magistrate and whatever the situation is before the retirement you can also become a High Court Judge!