IIM Calcutta - Indian Institute of Management

The admissions in IIMs are based on percentile obtained in Common Admission test (A Management Entrance Test). The academic performance, Group discussion, Personal Interview, Work experience and Extra curricular activities are the other parameters considered in selection of the candidates. For admission point of view you have to obtain at lest 98 percentile in CAT exam. While the minimum cutoff is above 80 percentile. In academic performance, the marks are given according to the percentage obtained in class 10th, class 12th and in graduation. Hence, you are not getting the full marks for your academic performance.

Hi, Category Section-1 VARC Overall CAT 2019
General (Open) 80 85
NC-OBC 70 75
EWS 70 75
SC 65 70
Good luck.

Based on your profile you will have to score near perfect CAT score and do extremely well in GDPI to get admission in any of the top IIMs.

That said, the general picture is that Iims prefer a well rounded personality - viz, you have to be excellent in your acads as well as in other co-curricular activities. As you can see from the above a CGPA of less than 6 would fetch you a very low rating. So, its difficult, but not impossible.

Either 75% or Among Top 20 Percentile in Qualifying Exam:
Candidates should have secured either 75% in Qualifying Examination or should be among Top 20 Percentile of respective School Board.For the SC / ST candidates, the minimum marks percentage in Qualifying Examination is 65%.

Data suggests that if you're a candidate with less than 80% marks in class 10th and/or class 12th, and/or less than 60% marks in graduation, chances of you making it to IIM Ahmedabad are significantly lower than the rest of the applicants.

The expected CAT percentile cutoff of IIMs for asked category are given below.
1. IIM-A
Sectional cutoff=60
Overall cutoff= 70
2. IIM-B
Sectional cutoff= 60
Overall cutoff=70
3. IIM Kolkata
Sectional cutoff= 65
Overall cutoff=70

As per your previous marks, chances are less, but still, if you try to score above 98+ in CAT then, maybe you will be callwd as an interview.

Cut off for GC is approx 99.2+ rest depends on a number of students and how they perform in the exam.