The following colleges he can consider :

New IIMs

Baby IIMs

NITIE

DSE, DU

DBE, DU

IIT Kanpur (if engineer)

IIT Roorkee (if engineer)

IIT Madras (if engineer)

All the best!

Yes. Your friend won't be able to get shortlisted in top-6,7 IIM's at 60 percentile but she/he has a good chance of getting shortlisted in all the remaining IIM's.

Anubhav assuming that your friend is a candidate who has Maharashtra quota so with 60 percentile in SC category you have a chance to get admission in the following colleges:
 

• Parle Tilak Vidyalaya Asso.'s Inst of Mgmt
• Bedekar Inst Of Mgmt
• Gawde Inst of Mgmt 
• Mumbai Inst of Mgmt
• SASMIRA's Inst of Mgmt
• Viva Inst of Mgmt
• Raheja School of Business Mgmt
• Kohinoor Business School
• Deccan Edu Soc's Inst of Tech & Development

Actually, 60 percentile is a little low to end up with a good b-school. Even in some of the colleges I have mentioned above, it will be a little hard for you to get admission.
 
 
All the best!!

According your score you can have the chances for School of Management Studies, University of Hyderabad, AIMS Institutes, Bangalore, PES University, Bangalore, Acharya Institute of Technology, Bangalore etc. You can check your other chances with CAT Pathfinder Tool.

CAT Pathfinder Tool

 

Good Luck!

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