IIM

To get a call from an old IIM, your focus should be on getting above 95% marks in CAT with sectional cut of around 80 percentile.
If you belong to reserved category, you can receive 80 percentile, then you can perform well at GDPI also.

With such academic record, getting into old IIMs is not possible. You can try for new IIMs if you wish to. I would suggest, you try for colleges which do not give much importance to academics like FMS.

MBA degree course is open to all type of graduates as its is generic course. You can chose any graduation degree of your choice to seek admission in MBA at IIM. By the way, most of the IIM graduates are Engineers.

B.Com honors would be better if you want to pursue MBA from IIM as it will give more weightage while getting admission. Also, B.Com (Honors) would be a good for career prospect as well.

You may refer to following link for list of top MBA B-Schools in the state of Orissa:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-orissa/2-2-119-0-0

Dear,
There is no specific programme through you will get sure admission in IIM. Admission depends on your knowledge, aptitude, commitment and especially, academic record and CAT percentage too.
All the best.

Best option is to sit for CAT and target to score higher percentile (atleast 98 percentile). As you have just completed 10th, try to score at least 80-85 percent in 12th and prepare well for CAT during graduation.

Hi,
No, IIMs consider only CAT score which is a yearly exam conducted in Nov/Dec. This year onwards IIMs have profile based calls. Minimum score required is 93-94 percentile unless your profile is exceptionally good. IIM Ahmedabad, Bangalore, Calcutta and Lucknow are the top 4 IIMs.
Other top colleges accepting CAT score are FMS Delhi, MDI Gurgaon, SPJIMR Mumbai, IITs (only for engineers).