Hello Aspirant,

The expected TANCET cutoff for the year 2021 is as follows-

Open- 38-40

OBC- 33.25-35.5

ST- 19-36

SC- 20.5-35.5

Based on your rank I assume your score would be in the range of 30-27 so here are few colleges where you might get a seat based on your category-

1. PSG Institute of Management, Coimbatore
2. Coimbatore Institute of Management and Technology, Coimbatore
3. R M K Engineering College, Gummidipoondi, Thiruvallur

For more information do check this article- https://bschool.careers360.com/articles/tancet-mba-cutoff

And for Colleges you can visit- https://bschool.careers360.com/colleges/list-of-mba-colleges-in-tamil-nadu-accepting-tancet

Hope this helps.

Goodluck!