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Hello Aspirant,
According to the marks mentioned by you in the question your rank is expected to be in the range of 13907 - 16057 and percentile in the range of 98.27 - 98.47 as per the latest data, you can check out marks Vs ranks from the links given below :-
https://engineering.careers360.com/articles/jee-main-marks-vs-percentile
https://engineering.careers360.com/articles/jee-main-marks-vs-rank
Or
You can also use JEE-Main Rank Predictor to predict your rank :-
JEE Main Rank Predictor - Know your expected IIT JEE Main 2020 Rank by ...
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
I hope this information helps you.
Good Luck!!
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