Hi Aspirant!
According to previous year the last round maximum cutoffs for OBC category for IIITs are around 12500 to 13500. In IIIT there is only one or two institution who provides female reservation so it would be impossible for your to get into any IIITs till round 7.
But in special round there are good chances of you to easily get admission into IIITs.Following are the IIITs in which you can get admission, as these are irrespective of branches you can further look individually for you choice of branch:
And many more,
You can follow these Career360's articles for a better understanding of cutoffs.
IIIT: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
GFTI: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-gftis
Also, you can follow up this Career360's article for more information on CSAB SPECIAL COUNSELLING:
https://engineering.careers360.com/articles/csab-special-round-for-nits-iiits-and-gftis
Also don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
HAPPY HUSTLING!
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