IIM

Both IIT and IIM are different. You cannot appear for IIT exams without maths. Also IIM is for management course which can be taken by the student of any stream.
I am attaching a link for your answer:
https://www.google.co.in/amp/s/www.shiksha.com/mba/articles/amp/20-mba-entrance-exams-you-can-take-this-year-blogId-11473

One needs to at least have 50% marks at the graduation level to get a call from IIM plus with 95 percentile score you stand a remote chance of getting a call from IIMs.

With such a score in CAT you don't stand a chance of getting a call from top IIM.

Hello Pritam,
The fees in IIMs approximately range between 9 Lacs in new IIMs to 20 Lacs in the old. However, you will easily get education loan for the same, due to the good reputation of IIMs, payable at 10% p. a. after completion of course.
Hope this helps.

That is not true and I can vouch for that because I myself am currently interning with students from IIM A, C and L and we all have the same package. There is no disparity. So, rest assured, colleges like XLRI and FMS definitely stand in line with the top IIMs.

Yes, you are eligible. Your class X and XII marks are also favorable. Aim for a good CAT score (99.5+) and good GDPI process following that.

Yes, you can apply for IPM programme at IIM, Indore.

No, IIM's take students with good rank if you can get good rank then you definitely can get an IIM.

To make up for your low CGPA you can try achieving a high CAT score. However, the CGPA must only be 50% or above to make the cut for MBA in IIM.

First of all, you have to appear for CAT examination and score good percentile in that and then perform well in GD-PI.