Hello Aspirant,

See with OBC category and such percentile it is quite difficult to get any good college like NITs/IIITs even you deserves Home state quota for it because even after having Home state quota you would neither meet the cut-off rank for NIT Warangal nor of IIIT Kurnool and because they take till 20000 of OBC ranks but your OBC rank is coming out to be around 27000-28000.

But you can try for private colleges discussed below or you can appear for state counselling for GFTIs.

Because according to the mentioned percentile your rank is expected to be in the range of 27000-28000 , 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 :-

On such rank you can try for some private colleges like :-

UPES Dehradun

AMITY University

Chandigarh University

Even above have their own entrance exam as well so you can also go for it.

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

Note that the above prediction is made on the basis of latest cut-offs available 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!!