Colleges in Bangalore

Hello,
To know which college you might get based on your rank use college predictor:
https://www.shiksha.com/b-tech/resources/comedk-college-predictor

No, it is not. Every year, there are around 20% Freshers in a batch of IIM, Bangalore. And, many of them quite well from landing a good job to acing courses, it just becomes a function of your effort here.

Sorry to be blunt, but it is highly unlikely. There are loads of other great colleges that you should not discount.

CAT is an aptitude exam, and requires that you are able to apply your mind to solve the questions. It is not hard because of the exam itself (which I feel is way easier than all the Engineering and Medical Entrance examinations) rather it is because of the competition. Hence, you will need to put in as much effort as you can to be ahead of others to get a seat in the IIMs
I believe enrolling into a correspondence process will help you kickstart and plan your preparations well. But that is just my opinion. A quick google search will throw a lot more ideas and plans, that you can look at and follow.

IIM, Bangalore offers a General Management Programme, and gives you ample opportunity to find out, which stream excites you. (Through summer internship and courses) Therefore, based on this, you can decide to pursue the field that you like. As such, there is no one to answer your question as all fields are equivalently great and you have a chance to end up at a CXO position by following any of these.

No, computer science and engineering branch is better than aeronautics because, CSE branch is best for Bright Future and good salary for placement in India as well as abroad.
You may go to www.anandice.ac.in/admissions for more information.

Yes, it is a good college to pursue electrical engineering. It has good facilities for the students and offers good placements.