Here are some of the best colleges name in Tamilnadu which will help you targeting for MBA admissions.

Department of Management Studies, Indian Institute of Technology, Madras

Great Lakes Institute of Management, Chennai

Indian Institute of Management, Tiruchirappalli

Anna University, Chennai

Thiagarajar School of Management, Thirupparankundram

For further detail about the colleges rating & other detail you can go through with given below link.

Tamilnadu MBA colleges

Good Luck!