IIM Calcutta - Indian Institute of Management

To get a call, you don't need experience. Calls at IIMs are generally given on the basis of CAT percentile and scores in 10, 12 and graduation. IIM-C focusses more on your score in CAT. In order to convert your call and make it, you need a balanced scorecard which involves your GDPI performance, work experience and extra curricular activities. Though there are several freshers at IIM-C too but with work experience, you can make the cut inspire of lower scores in other parameters. Also, work experience helps you with shortlists during summer and final placement.

Yes, it is offered by IIMC and there are very few seats for the programme. Admission procedures are normal for any PGDM student. Once you get in the college, you are allowed to apply for that programme.

Yes, I think you are eligible, but double check on the institute website.

Yes, I think you are eligible but double check by visiting institute website.

It is not possible to get admission in IIMs without appearing for CAT at least for their 2-year MBA programme.

It would be hard to predict. Given current state selection criterion, it would be very hard for you to get admission call from IIMA, B, I even if you score 80%+. This is if you are from general category.