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Hello Aspirant,
According to the mentioned percentile your OBC rank is expected to be in the range of 32000-35000 , 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 ...
B.Tech/B.Arch Admissions OPEN
So on such rank and category you have no chance to get any of the NITs even after considering your home state quota for NIT Andhra Pradesh, so I would recommend you to either go for state counselling for state GFTIs or for private colleges or if you want to take drop than this would be good idea and you can prepare for further attempts of JEE-Main 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
Also one very important thing that as you belongs to OBC category so on such percentile you have good chances to qualify for JEE-Advance so if you can prepare yourself for JEE-Advance in upcoming 1 and half month (as JEE-Advance 2021 is scheduled for October 3rd 2021) then it would save your year and can take you to IIT.
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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