Such a problem of the day would at least solve the main problem with physics challenges. This is:
If we do not have a clear true - false situation or a mathematical calculation, then any physics question is likely a more or less long description of a kind of experiment. I predict that an inevitable implication will be an annoying discussion about understanding, details, which laws should be applied, etc. The reason is, that other than in a real exam or tutorial, we have no natural authority. An actual exercise is as it is, nobody will question what the professor wrote or posed. This is different here. People discuss, question, and doubt everything all the time. A short glimpse into the QM Interpretation forum will show what I mean. Math is easier in this respect.