Hi

With 82.5  percentile

• your rank will be around 179025 - 201250  as per our rank predictor at

  JEE Main Rank Predictor 2021 - Predict your JEE Main ...

  JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...

Your sc rank will be around 10,000.

You are from Tamilnadu so you will be eligible for home state quota in NIT Trichy

I am extremely sorry to tell you but with above predicted rank you have extremely low chance in NIT Trichy even under home state quota

For example,

In 6th round of josaa counselling 2020, closing rank for gender-neutral for sc category was 6730 sc rank in NIT Trichy and it was for Metallurgical and Materials Engineering (4 Years, Bachelor of Technology)

You can check the same at

https://josaa.nic.in/Result/Result/currentorcr.aspx

Above prediction is on the basis of past year data but  cut off/closing rank for colleges keeps changing every year depending upon many factors like number of students that appeared in the examination, difficulty level of the JEE main question paper for different shifts etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

To get NIT Trichy you should target around 89 -90 percentile to be on the safer side. To improve your score in remaining sessions of JEE main you should focus on your preparation go through previous year question papers ,mock test papers and to help you in your preparation we have jee main knockout out for you, for which  is provided below

https://learn.careers360.com/knockout-jee-main-april/

If you have any other doubt then you can always reach us to clear them :) we are always available to help you out and guide you

Thankyou