Sneha below I am mentioning the list of colleges where you can apply:

• 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 of these colleges have 60 percentile as their cut-off in XAT exam but still, in order to get admission you will need to have a strong profile and you will need to perform very well in the second round of interview and GD.

All the best!!

Hello Sneha, 

You can check our XAT Pathfinder tool to find colleges based on your marks and other criteria. You can check the following link: https://bschool.careers360.com/pathfinder/xat

Hope this Helps !

All The Best !