What possible branches could I get in NIT Trichy with a score of 168 in the JEE Mains 2021 paper 1?

Admission in NIT Trichy has seats reserved for the students belonging to the states of Tamil Nadu. Therefore there is some quota that benefits certain students. 

• If you are from outside Tamil Nadu and belong to the general category then with 165 marks you may get Production Engineering or something related to the production department. Some of my seniors got admission to the production department in NIT Trichy, two years back, and they had almost the same marks.
• In the second case if you belong to the state of Tamil Nadu and are from the general category then the chances are better for getting core or better branches. You may get branches such as MME, production engineering, or chemical engineering. 
• If you don’t belong to Tamil Nadu and are from the OBC category then you can expect branches like Instrumentation and control, Civil which is one of the core branches, MME, Production, Chemical. The chances for this gets even better if you are from Tamil Nadu and belong to the OBC category. 
• If you are from SC and ST category then you will be able to get even better branches however it’s less likely to get CSE or ECE. 

Here is the 2020 cutoff for NIT Trichy.

The cutoffs are known to change every year and with no certainty and predictability. It can only be confirmed after the first few rounds of counseling. The opening and the closing rank of a particular department sometimes varies by 2k in the general category and more in the quota.