IIM Bangalore - Indian Institute of Management

There is no minimum score as such (B has >80% criteria, might have changed so do check)
Put in your best effort for CAT, all this comes later, and you anyway can't change your scores.

Yes, but you need to perform well in GD-PI too.

Depends on your CAT percentile and college. Check the point criteria for individual IIM's. Highest weightage is given to CAT.

IIM-Bangalore has some strict percentage criteria for boards (80% above in 10th and 12th, if I am not wrong). So, B might be off the books, but you still seem to have a decent chance at C with a high percentile. I don't want to be blunt, but you will really need to nail CAT hard. Otherwise, try looking at ISB, etc. wherein the admission isn't so marks based.
Good luck.

Please refer selection criteria for all three colleges in their respective websites. Usually, it changes every year and has components of your past acads, work experience, CAT score and What/PI score.

Admission call depends on your graduation specialization also. Without that it would be near impossible to predict the call. Having said that, assuming you are GEM, you won't get a call from IIM A with such score at 98% marks.

As such IIMs, do not provide specialization in any subject, but yes, if you wish you can choose your own electives of IT in 2nd year. But, at the end of the day, you will get the same degree as any other IIM grad I.e. PGDM (no specialization).

Only if you are an oversea candidate or applying for the executive program.
Regards
Akshat

Depends on the program that you are applying for. While PGP is a residential program, you can look at PGP EM (Enterprise Management) i.e. a weekend program.
http://www.iimb.ernet.in/programmes/post_graduate/pgpem

Yes, you can do MBA after doing B.Sc in textile designing. You can opt for MBA in marketing and sales and MBA in retail.