See you need to have good score in CAT basically to get eligible first and then during your personal interview or group discussion, if you have developed enough knowledge and personality, then they can surely overshadow our academic performance and grant you a seat on merit in the same college.

Following are some of the decent universities..

1. Xavier School of Management, Jamshedpur
2. IIM Indore
3. Management Development Institute,, Gurgaon
4. NIIT Mumbai
5. IIM Kozhikzode

Refer to  the link below for more detailed information.. https://bschool.careers360.com/colleges/ranking

Best wishes. Thank you.