CAT

With your acads, it will be near impossible to get calls from IIM A/B as these colleges give heavy weightage to past acads. Having said that please prepare hard and get into FMS/XL/MDI and other good B-schools.

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.

Yes, there are students from the commerce background. Fee is Rs 19 and the average placement is Rs 17.5 lakhs.

No, admissions are done via CAT score only.

CAT exam checks your ability and eligibility for your desired further study (post graduation).

No, for distance MBA there isn't entrance exam in most of the institute. If you want to do MBA from IGNOU, then you have OPENMAT. If you want to do it from Andhra Pradesh and Telangana and EAMCET and TANCET is there, but there isn't any entrance exam for Madras, Pondicherry, Kurukshetra and Bharati Vidyapeeth.

It doesn't make any effect for doing CA CPT, you just need to complete your 12th. While studying for CPT ,you should clear all the subjects with more than 40% including maths and your aggregate should be more than 100 out of 200 for doing CPT. You are supposed to be good in maths, study well, you can do it.