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Hello Aspirant,
Even after considering your ST quota you don't hold any chances to get seat in any of the IIIT on the basis of your mentioned JEE-Main score but you can go for some other colleges.
As per your percentile in JEE-Main 2022,
>>>>> your CRL rank is expected around 543008 - 610420 .
Now on such CRL rank you can have chances in following colleges based on your JEE-Main rank :-
Jahangirabad Institute of Technology, Barabanki
Matoshri Pratishthan Group of Institutions, Nanded
University Institute of Technology, Bhopal - Rajiv Gandhi Proudyogiki Vishwavidyalay
To have a list of all those colleges which you can get based upon your JEE-Main rank/score you can use JEE-Main College Predictor:-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
As the cut-offs are released along with the JEE-Main 2022 result so for now you can get an idea from JEE-Main 2021 qualifying cut-offs that are enlisted below :-
==>> Common Rank List (CRL) - 87.8992241-100.0000000 Percentile
==>> GEN-EWS - 66.2214845-87.8950071 Percentile
==>> Other Backward Classes (OBC-NCL) - 68.0234447-87.8950071 Percentile
==>> Scheduled Caste (SC) - 46.8825338-87.8950071 Percentile
==>> Scheduled Tribe (ST) - 34.6728999 87.8474721 Percentile
==>> PwD - 0.0096375-87.8273359 Percentile
Note that in above table it is not the actual cut-off for JEE-Main 2022 but previous year's cut-off.
You can check out previous year's cut-off trends 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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