Just to mention in passing, when I read your particular example, my immediate thought was “right, I’d fail right away”. Someone who sucks at math would probably find it very difficult to derive those solutions. Yet, I don’t think that means they couldn’t be rational. You’d have to take into account their personal skills and affinity in the scientific domain you’re testing, and adjust for that.
Just to mention in passing, when I read your particular example, my immediate thought was “right, I’d fail right away”. Someone who sucks at math would probably find it very difficult to derive those solutions. Yet, I don’t think that means they couldn’t be rational. You’d have to take into account their personal skills and affinity in the scientific domain you’re testing, and adjust for that.