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Hello Aspirant,
According to the percentile you have mentioned your rank is expected to be in the range of 28613 - 32166 , 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 ...
So on such rank and category you have good chances to get the enlisted NITs :-
Dr. B R Ambedkar National Institute of Technology, Jalandhar - Electrical Engineering
Maulana Azad National Institute of Technology Bhopal - Chemical Engineering
Maulana Azad National Institute of Technology Bhopal - Civil Engineering
Dr. B R Ambedkar National Institute of Technology, Jalandhar - Mechanical Engineering
Motilal Nehru National Institute of Technology Allahabad - Bio Technology
National Institute of Technology Calicut - Bio Technology
National Institute of Technology Calicut - Chemical Engineering
National Institute of Technology Calicut - Civil Engineering
You can check out previous year's cut-offs from the official website of JOSAA as 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.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India on the basis of your JEE-Main 2021 result :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
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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