Hello Aspirant,

Since you have not mentioned your category so considering it as general and with General category and such percentile it is quite difficult to get any good college like NITs/IIITs/CFTIs/GFTIs. But you can try for private colleges discussed below :-

Integral University, Lucknow

GL Bajaj Institute of Technology and Management, Greater Noida

Shiv Nadar University, Greater Noida

Amity School of Engineering, Noida

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

Because according to the mentioned percentile your rank is expected to be in the range of 705870 - 793500 , 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 :-

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!!