Hello,
As you have mentioned the two IIITs, I can confirm that as per their official sites, they do require 60% in 12th board. IIIT Bhubaneshwar provides admission to both State quota students and All India Quota. The state quota students have their separate counselling organized by IIIT Bhubaneshwar. It is in this couselling Orissa students require 60% marks in 12th board. Check out this official brochure as released by IIIT Bhubaneshwar: https://drive.google.com/file/d/1eXCuD_u7GPLaPtqC8FsDlVDisFSQ7kbO/view
As per the site of IIIT Bangalore, a student must have passed 12th board with Mathematics or equivalent subject with first class. https://www.iiitb.ac.in/programs.php?pid=integrated-m-tech&class=Eligibility4
I hope I was helpful. Thank You
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