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Hello Aspirant,
According to the category and percentile you have mentioned your rank is expected to be in the range of 184140 - 207000, 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 very less chances for NITs until and unless you deserves home state quota for them but you have some chances for IIITs like :-
Indian Institute of Information Technology, Kottayam
Indian Institute of Information Technology, Dharwad
Indian Institute of Information Technology Design and Manufacturing Kancheepuram
Indian Institute of Information Technology Design and Manufacturing, Jabalpur
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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