I don't see a nice answer, but there are some things you should notice. First, the wording is ambiguous: We are told "PSAKLJIUASP" is "PJIUAZAKLKP", but it is not clear whether "LIOQWERRPOIL" should be the source or destination. I would notice the groups of three letters AKL and JIU which are maintained but shifted in position. Unfortunately that leaves (besides the leading and trailing P's) S and AS, which might go to K and AZ, but it is not clear how. If "LIOQWERRPOIL" is the source, that leads us to "LERR??OQW?L"
For an interview question, I would think this is coherent enough to show I wasn't flustered by nonsense and try to go on.