IIM Bangalore - Indian Institute of Management

Why limit yourself to Bangalore, an MBA is not just another degree. I would say aim for the best and use this not just as a degree but to learn some really relevant and useful convepts. Therefore, apply to all the best B-Schools in the country.

I would recommend you to use Shiksha.com's call predictor, but It seems that a 99+%ile would be able to fetch you a call from IIMC. For IIM A and B, I am a bit skeptical (But it depends on your branch,) but should be possible.

It looks unlikely now, but is possible depending on your quota and peer group.

IIM-Bangalore gives immense weightage to graduation, XII and X class percentages. And, it also has a minimum cut-off for class 10th and 12th marks. And, the results for this year have already been announced.

Cut-offs (for 2017-19 General CAT.)
Section 1 (VARC): 85
Section 2 (DILR): 80
Section 3 (QA): 80
Aggregate: 90%ile

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.

Check out the official stats but on an average you can expect a CTC of >20 Lakh per annum, for some jobs in finance it can be as high as 70-80 Lakhs, while if you choose to start up on your own or take a not so typical route, it might be a bit less in the starting.