Some of the top college where you can apply with your 78.8 percentile in XAT and have a good probability of getting a call are:

• BIMTECH Greater Noida (Delhi NCR)
• XIME Bangalore
• IMI Bhubaneswar
• CIMP Patna
• SDMIMD Mysore
• IFIM Bangalore
• Jaipuria Institute of Management Lucknow
• ISB&M Pune
• Indus Business Academy (IBA) Bangalore
• AIMS Bangalore
• IMT Nagpur
• JIMS
• Welingkar Institute of Management Development and research, Mumbai & Bangalore
• Birla Institute of Technology, Mesra
• Balaji Institute of Modern Management, Pune
• EMPI Business School New Delhi
• IMT Hyderabad
• MITSOB Pune
• FIIB New Delhi
• Jaypee Business School Noida (Delhi NCR)
• SOIL Gurgaon (Delhi NCR)
• Apeejay School of Management Dwarka, New Delhi
• AIMIT Bangalore
• Indus Business Academy (IBA) Bangalore
• WOXSEN School of Business Hyderabad

 

All the best!!

 

Hi
According to me, there are some colleges who can accept your percentile, their requirement is 70 or more than 70 so you are eligible for those colleges like :
Institute of rural management
Institute of finance and international management
Alliance school of business
Institute of public enterprise
Birla Institute of technology
Balaji Institute of modern management
And many more
I hope this information is sufficient for you
Good luck

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