Greetings,
The official eligibility criteria guidelines do not make a mention of any age restrictions to appear for the IIIT H - UGEE exam so you can appear if you fulfil the rest of the criteria which includes minimum 60% marks in PCM in your respective 12th boards.
Here is the official link for more information:
https://ugadmissions.iiit.ac.in/ugee_page.html#:~:text=Class%2012%20or%20equivalent%20qualifying,in%20Maths%2C%20Physics%20and%20Chemistry.&text=Applicants%20in%20this%20mode%20need,Proficiency%20test%20for%2060%20minutes.
good luck
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