CBSE 10th

A lot depends on graduation specialisation. Class 10th marks are of concern. If you get the interview call, prepare well for it. You must showcase some achievements apart from academics and must have full knowledge about it as they will ask you in detail about it. Apart from that do maintain polite behaviour as there are people from the Organisational Behaviour area taking the interview. Make sure your answers are logical and have proof or fact attached to it. I think with this you can definitely crack any IIM.
But before that, try to score as high as possible and consistency of practicing all 3 sections daily is the key to that

Right now when I see CBSE, I feel that the state board has an outdated and old syllabus, so it is better to go with CBSE syllabus.

BBA is a graduation course. For that, first, complete your class 12th, then proceed for the BBA course.

You can start preparing for Civil Services Exam in your graduation. This exam is conducted by
UPSC every year. Minimum age limit is 21 years. For more information visit
www.upsccivils.com.

The minimum eligibility criteria for IIM Indore for Five Years Integrated Programme in Management (IPM) is 12th with minimum 60% of marks. The admission in IPM are based on IPM Aptitude Test (AT), Written Ability Test (What) & Personal Interview (PI). Any candidate who fails to appear either in IPMAT and What & PI or both shall not be considered for selection. So you have to first complete your 12th with required percentage and than can apply.

No, your class 10th percentage will not hamper you in getting admission in B.Com (Hons). Just focus on your class 12th board exam and prepare well.