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Hello Aspirant,
If we go through the analysis of marks Vs Percentile Vs rank for JEE-Main 2020 then according to the percentile mentioned by you in the question your CRL rank is expected to be in the range of 43478 - 48875 , you can check out marks Vs ranks Vs Percentile from the link given below :-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
Or
You can also use JEE-Main Rank Predictor to predict your rank :-
JEE Main Rank Predictor - Know your expected IIT JEE Main 2021 Rank by ...
As we go through the latest cut-offs of JEE-Main 2020 of JOSAA 6th round then it shows that :-
Closing CRL rank for NIT Trichy was :-
So you have very low or almost no chances to get NIT Trichy with Mechanical branch even if you have Home state quota .
But yes if you improve your percentile in any further session of JEE-Main like around 98.5+ then you might have a shot at NIT Trichy with Mechanical branch .
You can check out the latest cut-offs from the link given below :-
https://josaa.nic.in/Result/Result/currentorcr.aspx
Note that the above prediction is made on the basis of latest cut-offs available on official website of JOSAA or CSAB and the cut-offs are bound to change every year depending upon various factors such as the number of candidates appearing in an examination, the number of candidates qualifying an examination, difficulty level of the paper, and so on.
To have a list of all those colleges which you can get based upon your marks, category, and state you can use JEE-Main College Predictor:-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
If you are preparing for JEE-Main 2021 or 2022 then I would recommend you to check the resources made by our experts to help aspirants like you in the best and smart preparation of JEE-Main 2021 or 2022 :-
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
You can also check out the JEE-Main 2021 qualifying cut-off (expected) for JEE-Advance 2021 from the link given below :-
https://engineering.careers360.com/articles/jee-main-cutoff
I hope this information helps you.
Good Luck!!
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