IIM Indore - Indian Institute of Management

No. You probably won't be eligible for that. People apply for IPM immediately after completing their 12th. If you want to do an MBA, apply for the PGP course and for that you will have to appear for CAT.

Integrated Programme in Management (IPM) - IIM Indore, the first of its kind in India launched by IIM Indore in 2011.
IPM, A five-year Integrated Program in Management is for students passing out from Class XII.
One can get admission into IPM by taking IPMAT - Integrated Programme in Management Aptitude Test.
After completing first 3 years, IPM students join with PGP students (who clear CAT) and complete their 4th and 5th Years.

If you want to pursue MBA after graduation, I believe this is the right time to take IPM in IIM, Indore.

As for doing MBA, IIM Indore is better than both SIBM and DU. IIM Indore is better in terms of average package, number of recruiters that visit the campus, brand value. Also IIM Indore and IIM Ahmedabad follow the same teaching methods. For more comparison you can check out the placement reports of all of them easily available on their websites.

You can check the general cutoff to get WAT-PI call on the below link - http://www.iimidr.ac.in/academic-programmes/post-graduate-program-in-management/pgp-indore-admissions-details/

The minimum percentile to get a call for WAT- PI is 90. You can check it in the admission procedure here - http://www.iimidr.ac.in/academic-programmes/post-graduate-program-in-management/pgp-indore-admissions-details/

Getting a call for WAT- PI depends on your composite score that is calculated by giving appropriate weights to several factors. Check the weightage in admission procedure here-http://www.iimidr.ac.in/academic-programmes/post-graduate-program-in-management/pgp-indore-admissions-details/.
So, it depends on how many people have more composite score than you.

No, there is no sports quota as such. You may get an advantage in the interview.

Hey, you can. You will also find bank stalls in campus itself on the day of induction, so it's not a problem.

It may change for any academic year, but currently its 13 lakhs INR.