CWB1, you're the one who's painted yourself into a corner, and now you have to support an argument that defies physics or changes the original question. The origninal question is ABSOLUTELY crystal clear, and not vague in the slightest until you start throwing in garbage that wasn't in the original statement. There absolutely are right and wrong answers.
Crystal clear with absolutely right and wrong answers eh? Ok...
Scenario 1 - Pressure out of the lower drum raises water 49' to a minuscule pump which easily raises it the last foot. Move the pump to ground level and it cannot raise water 50' being undersized for that effort. Fits the problem statement perfectly, doesnt defy physics, incorrect per CP as the pump isnt on the ground.
Scenario 2 - Pressure out of the lower drum overpressures the pump's PRV and fills the upper drum without any pumping work being done. Pump location therefore is irrelevant to the task. Once again it fits the problem statement perfectly, doesnt defy physics, and is also incorrect per CP and yourself.
Scenario 3 - With zero outlet pressure at the lower drum the pump works fine halfway up the line under all conditions, cannot provide adequate suction if placed on the roof, but lower it to ground level and it cannot overcome head from the upper drum. Again this fits the problem statement, doesnt defy physics, and is also incorrect per some folks.
I wouldnt call anything with wildly varying interpretations "crystal clear," especially when the folks being asked to interpret the problem statement have seen many variations of it, albeit decently defined, in the majority of their undergrad coursework in physics, thermo, fluid dynamics, hydraulics, machine design, heat transfer, HVAC, and CFD, plus others I'm surely forgetting or unfamiliar with. I never took HVAC but am fairly certain I had similar problems in each of the others, hence three scenarios given with less than a minute's thought.
Ultimately it is a "gotcha" bc rather than proving someone's technical competence and sound engineering judgement it proves the exact opposite.