CBSE 10th

You can check the list:
Prin. L. N. Welingkar Institute of Management Development & Research (WeSchool), Matunga West, Mumbai, Asia-Pacific Institute of Management (AIM, Delhi), Sarita Vihar, Delhi, S P Jain School of Global Management (SPJSGM), Lower Parcel, Mumbai, IBS Business School, Bangalore, Mysore Road, Bangalore, Amity University, Haryana (AUH), Gurgaon, BIMTECH.

Yes, with this academic profile, your conversion chances are high, you should apply.

CAT or any other qualifying exams are totally based on quantitative aptitude, data interpretation, Logical reasoning, verbal. Maths is an inherent part of these exams. It is not about is it advisable for somebody like you mentioned to go for CAT or not. Rather it is about whether you 'want' to get into Iims or not because CAT can get you into IIM.

The CPL training eligibility requires you to have maths as a subject for admission. Therefore, it would be a good idea to pursue maths.

Many options are available for you. Since you are in class 8th right now, you should introspect and check what are your interests. Options available to you:-
If you are an ICSE Student then you will have to choose a stream in 9th Class. If you want to know more about ICSE then kindly let me know in the comments. Assuming that you are a CBSE student, you need to choose stream in XI Class:-
Medical
Commerce
Non-Medical
Arts/Humanities
Make a wise decision and remember CBSE has revived its Class X Boards from 2018 Onwards so you will be included in that.

It all depends on what college you wish to join, what is the average cut-off there, would you want to take bifocal courses, this year's results, etc. I feel it's important for you to have an interest and passion for proper planning of your future.

It all depends on what college you wish to join, what is the average cut-off there, would you want to take bifocal courses, this year's results, etc. I feel it's important for you to have an interest and passion for Science as well as proper planning of your future, in either research, medical, engineering or education. Apart from these, going through Science isn't going to help much. Remember dedication, not marks, is the key.

Your class 12th marks are what really matters in university.