Hello Aspirant,

According to the mentioned percentile your OBC rank is expected to be in the range of 32000-34,000, you can check out marks Vs CRL 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 :-

So on such rank and category you have very low or almost no chances to get any of the NITs/IIITs, so I would recommend you to either go for state counselling for state GFTIs or for private colleges like :-

SRM Institute of Science and Technology, Chennai

Lovely Professional University, Phagwara

School of Engineering, University of Petroleum and Energy Studies, Dehradun

Bharati Vidyapeeth Deemed University College of Engineering, Pune

Amrita School of Engineering, Coimbatore

Or 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

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!!