Commerce

You can go for BBA, B.Com, BCA, etc.

You can go for B.Com, BBA, B.A. or BCA.

Many commerce courses are also offered at the post-graduation level. Students who wish to pursue higher studies in commerce can opt for courses like MCom, MBA, MA (Hons) in Economics, MBA in Banking & Finance and MCom in Accounting & Finance.

It depends on the college. Most of the colleges have made it compulsory for one to have Maths in 10+2 to be eligible to apply for B.Com (H). This is so, because the syllabus of this degree has a good portion of Maths and Accountancy. There are very less institutes who don't ask for Maths in B.Com (H). Some of them are GGSIPU, Amity University, BHU and Christ University, Bangalore.

Yes, you can apply for the entrance exam of IIM Indore.

You cannot pursue B.Tech after commerce. You can surely enter the field of Computer Application, but not through a B.Tech course. Even when you talk about BCA majority of the colleges will require mathematics.

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Generally speaking, a high SAT or ACT score is needed for admission to any Ivy League school. If your score on the SAT is 1590 or higher, or your score on the ACT is 35 or higher, then you are in the top 25 percent of students who apply to those schools.

https://www.shiksha.com/mba/articles/what-are-the-career-options-after-class-xii-commerce-blogId-7253
Here is the blog which you can refer for your guidance.