Hi student, B-schools with 90-95 Percentile CAT Cutoff are:

IIM Nagpur 90+

IIM Visakhapatnam 90+

IIM Sirmaur 90+ IIM Sambalpur 90+

IIM Amritsar 90+

IIM Jammu 90+

Xavier Institute of Management, Bhubaneswar 93+

Goa Institute of Management, Goa 92+

DIME, IIT Kanpur 92+

DoMS, IIT Roorkee 90+

Great Lakes Institute of Management, Chennai 90+

IISWBM Kolkata 90+

BIM Trichy 90+

Most b schools do not consider graduation or academic scores for selection process. The only criteria is that the candidate must hold a bachelor’s degree, with at least 50% marks or equivalent CGPA (in case of the candidate belonging to Scheduled Caste (SC)/Scheduled Tribe (ST)/Differently Abled (DA) or Persons with Disabilities (PwD) category, this is relaxed to 45%). However some top schools like top IIMs do consider the previous academic scores.

Good luck