Hi

With   96.4 percentile

• Your rank will be around 36828 - 41400  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 ...

It is difficult to make prediction but when we go through previous year trend then

You hold a low chance for chemical engineering in NIT trichy even under home state

For example,

In 6th round of josaa counselling 2020, under home state quota , closing  rank for gender neutral for general category in NIT trichy  was 28925  rank  for chemical engineering

But yes,

In NIT trichy with your rank under home state you have chances in branches like

• Metallurgical and Materials Engineering (4 Years, Bachelor of Technology):- 42176 closing rank in 2020

• Production Engineering (4 Years, Bachelor of Technology):- 37210

You can check the same at

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

This above prediction is on the past year data basis but  cut closing rank for colleges changes every year depending upon factors like number of candidates that write jee main examination, difficulty level of the question paper for different shifts of jee main 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

Thankyou