Sailesh, you can get good B Schools with your score. I have listed below some colleges that accept a score of 556 in MAT:

• MS Ramaiah Institute of Management, Bangalore
• ITM Business School, Navi Mumbai
• Jaipuria Institute of Management, Noida
• IMS, Ghaziabad
• Acharya Institute of Management and Sciences, Bangalore

Although MAT score is just a shortlisting criteria. There are other factors like your academic performance, job experience, etc that are crucial for getting the college.

For more details regarding MAT score cutoffs in the top B schools, you can visit: https://bschool.careers360.com/articles/top-b-schools-accepting-mat-scores-and-cutoffs/amp