Hi

Making  prediction is difficult as  cutoff  depends upon various factors like :-

-----------) number of students/ candidates  that appeared in the  jee main exam,

-----------) number of available seats,

-----------) jee main examination difficulty level.

-----------) the branch you want,

-----------) the category you belong etc.

-----------) your rank in jee main

But yes,

When we go through previous year trend then

>>>>>>>>> With your mentioned rank

You have chances in following government college with good branches  which are listed below along with their closing rank in 6th round of josaa counselling 2021 under other state/ all india quota   :-

---------------------)National Institute of Technology Puducherry:- ECE :-23031

---------------------)National Institute of Technology Jaipur:- chemical engineering:-24715

---------------------)National Institute of Technology, Srinagar:- computer science :-26253

---------------------)National Institute of Technology Bhopal:- mechanical engineering:-26985

---------------------)National Institute of Technology Jaipur:- civil engineering:- 27936.

And a few more

You can check the closing ranks  at official website of josaa by going through the link given below

JOSAA 2021:- https://josaa.nic.in/Counseling/seatallotmentresult/currentorcr.aspx

Or

For previous year cut offs of top colleges like NITs, IIITs , you can also refer our page at :-

NITs :- https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

IIITs:- https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

Above prediction has been made  considering  past year cut off data but  closing rank for colleges varies every year depending upon many factors like jee main question paper difficulty, number of students writing the exam etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

To help you  further,

Minimum percentile in jee main 2022 to qualify it to be eligible for jee advanced is given below :-

--------) general :-   88.4121383 percentile

--------) EWS:- 63.1114141 percentile

--------) OBC-NCL :- 67.0090297 percentile

--------) SC :- 43.0820954 percentile

--------) ST:- 26.7771328 percentile

--------) PWD :-  0.0031029 percentile

You can check the same at our page the link is provided below

https://engineering.careers360.com/articles/jee-main-cutoff

Thankyou