I am also facing the same problem.I think that if the authorities are informed about this,then there might be a change in any one of the exam.I just wrote an email to both the authorities on an address found on the website.you may also do it.If more candidates are there in the same situation,then it may work.So please ask more people to do it.

Hello,

Yes the IISER 2020 exam and Central University Common Entrance Test (CUCET) exam are scheduled to be conducted on say day that is on 18th September 2020. There is no news regarding postponement of any of the exam for now. So mostly both will be conducted as per schedule. The candidate who have registered for both the exam need to decide which one they have to give and for which exam they are confident. For now focus on only one exam which ever the candidate is confident to give.