Hello Anushka,

List of top government colleges for MBA and cutoff for MAT are-

• National Institute of Technology,  Warangal- Cutoff-600+
• Department of Management Studies ,Indian Institute of Technology,  Madras- Cutoff-600+
• Doon University,  Dehradun
• National Institute of Technology, Rourkela
• National Institute of Technology, Silchar
• Indian Institute of Plantation Management, Bangalore

I hope it helps

Thank you