What are the chances of getting into MDI Gurgaon with 95/92.6/84.2 percentages in X/XII/grad and 96.5 percentile in the CAT for an engineering male with 8 months of work experience

Generally, one gets a call from MDI at 95 percentile however for the final convert 96-97 percentile is observed as the score. Considering your profile, your CAT score is on the borderline, especially for a regular MBA. However, you are likely to get calls for MBA HR and MBA IB.

There are high chances of your getting calls from newer IIMs like Trichy, Ranchi, and Rohtak. Your exceptionally good academic background will fetch you a call. 

Your work experience is too less to be considered and nevertheless, no top 2-year MBA program in India makes work ex essential. It comes into play only if you are applying to SPjain operations or IM specialization. You should consider other options like IIT KGP, Madras, and Kanpur. In addition, you should sit for some exams other than CAT like NMAT, IIFT, SNAP, and XAT.