In my microelectronics course we have just begun learning about diodes and semiconductor physics. We have been analyzing simple circuits with diodes, mostly solving for component values. The approach we have been taught is to simply "guess" how the circuit is behaving, running the math to see if it works out, and adjusting if necessary. For example, consider this circuit:
NOTE: I have already solved this question (I am not asking for homework help).
It turns out D1 is reverse biased and D2 is forward. I only found this out after testing two other assumptions (D1 and D2 both on, and D1 on/D2 off).
Are there any clues that indicate a certain assumption is more likely to be correct? I ask this because we are expected to solve these rather quickly - I know practice is the best, but I am hoping for some tips.