You can check your chances in various colleges based on your score and category, you should try Careers360 college predictor and rank predictor.

Link for Careers360 rank predictor:- https://engineering.careers360.com/gate-college-predictor

All the very best and good luck.

with this marks, you can get the score around 550-600 and rank around 6000. You can get nit trichy as you have a category. you can further check out this link:

https://engineering.careers360.com/articles/gate-cutoff-for-nit-trichy