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Hello aspirant,
Hope you are doing well.
As per your question, according to your rank 3500in jee your marks would be around 182-190 as estimated and your percentile would be around 99.56 to 99.69.And as per cutoff of IIIT hyderabad as per cutoff trend they have around 2k rank as per their officials. So according to your percentile and rank you are not suitable and eligible to register and grab your seats here. You can also wait till the last round as cutoff will decrease you can register there. Although you can visit for more information and to predict your college:-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this helps you. Thank you.
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