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Hello Aspirant,
Since you have not mentioned your category so considering it as general.
According to the mentioned percentile your rank is expected to be in the range of 491040 - 552000 , 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 no chance to get either Civil or Mechanical in any of the NITs/IIITs/CFTIs, so I would recommend you to either go for the same branches through state counselling for state GFTIs or for private colleges or you can prepare for further attempts of JEE-Main and try to achieve more than 95 percentile so that you can get good NITs/IIITs for either Civil or Mechanical and to help you in your preparation we have some resources which you can access from the link given below :-
https://learn.careers360.com/jee-main-coaching/?utm_source=%20QnA
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.
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
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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