Karnataka

I assume by management seat you mean general admission. If so, the eligibility criteria would be 50% in all semesters of your B.com. if you are eligible you can apply for the course online. You may refer this link for guidance as to how to apply.
https://christuniversity.in/commerce-and-management/commerce/master-of-commerce-(mcom)/860.
There would be a selection process that you need to clear after applying. The selection process consists of skill assessment (skill assessment will consist of a test on written skills, communication skills and logical reasoning.) and personal interview.

For getting admissions in LLB, you need to give the entrance exam of law which is CLAT. I'll share with you the important dates for this and colleges where you can apply as well for this course.
You can plan your dates accordingly and apply to the colleges which are well recognised for their degree in law:
NLSIU, Bangalore
NALSAR, Hyderabad
Campus law centre, Delhi
Symbiosis Law School, Pune
UPES, Dehradun

It is an average B-School for executive MBA and I would suggest you to try for top B-Schools like Jain, Great Lakes, ISB and IIMs.

If you are an SC/ST/OBC student only then you will help you to get concession in admissions for MBA under reservation quota.

IPE is better as it focuses on quality education and suitable placements. IPE has better top notch faculty and they offer excellent placements as well. Few of the companies that have visited IPE's campus for the batch of 2017 are Deloitte, TCS, Federal Bank, BYJU's, etc. So you don't really have to worry about the placements in IPE as more than 70% students grab positions in top MNCs.