DoMS IIT Madras - Department of Management Studies

Yes there is a OBC quota for PGDM in IIT Madras

There's no cutoff as such at DOMS IIT Madras. The department calculates a composite score based on your profile and CAT score. Based on the composite score, people get calls for interview. After the interview, interview marks will be added to the composite score and then admissions are given to the candidates in descending order of the final scores. The weightage of various components in your profile, CAT score and interview marks will not be revealed.

https://www.shiksha.com/engineering/articles/iit-fee-structure-for-btech-blogId-6275
You will find all the true and authentic information about your college here.you have a very well chance of getting into the above colleges mentioned by you just look at the citoff.

To get admitted into any IIMss or any Top MBA colleges in India, the minimum CAT 2022 cutoff is expected to be 90 percentile. Those who secured the 99+ percentile can apply to top Iims like IIM Bangalore, IIM Ahmedabad, IIM Lucknow, IIM Calcutta, and IIM Kozhikode. Hope it helps.