With a CAT percentile of 84.66 and a strong academic background in school (10th 90.8%, 12th 86%), along with graduation and post-graduation in Physics, you do have realistic chances of getting calls and admissions from several Tier-2 and Tier-3 MBA colleges in India. Your profile shows academic consistency up to Class 12, which works positively during shortlisting, although your graduation percentage is slightly on the lower side. Still, many good private institutes consider the overall profile, CAT score, work experience (if any), and performance in GD/PI rather than only graduation marks.

At 84–85 percentile, you can expect calls from institutes such as IMT Nagpur, IMT Hyderabad, IMI Bhubaneswar, IMI Kolkata, TAPMI Manipal (borderline), GIM Goa (for some specialized programs), FORE School of Management (some programs), K J Somaiya (profile-based), LIBA Chennai (borderline), Great Lakes Chennai (PGPM – profile dependent), Great Lakes Gurgaon, IFMR GSB Krea University, NIT Trichy (MBA – if sectional and category criteria are met), NIT Calicut, NIT Durgapur, XIME Bangalore, Welingkar, SDMIMD Mysuru, and BIM Trichy. Final admission will largely depend on how well you perform in the interview and how your profile fits the institute’s selection criteria.

Regarding IMT Ghaziabad, the main flagship PGDM program generally requires a CAT percentile of around 90+, and realistically, at 84.66 percentile, getting a call for the core PGDM is very difficult. However, IMT Ghaziabad also offers programs like PGDM Marketing, PGDM Financial Management, and PGDM DCP, where the cutoff is usually slightly lower, sometimes in the 85–88 percentile range, and shortlisting is profile-based. So, while the chances are slim, they are not completely impossible, especially if you have a strong interview, diversity advantage (science background), or relevant experience.

As for sectional cutoffs, IMT Ghaziabad does not officially publish strict sectional cutoffs, but they do expect balanced sectional performance. Extremely low scores in any one section can reduce your chances of being shortlisted, even if the overall percentile is decent. Typically, candidates are expected to be around the 70–75 percentile range in each section to remain competitive.

In summary, with 84.66 percentile, IMT Ghaziabad core is unlikely, but IMT’s off-campus or specialized programs may still be attempted, while you should actively apply to good Tier-2 colleges where your percentile and academic profile fit well. Focus strongly on GD/PI preparation, because at this range, interview performance often becomes the deciding factor.

All the best.