So I've noticed that the recent LG are a bit more difficult (i.e., 60+) in that they are much less susceptible to quick plug-and-chug. I'm assuming that some of these games are exceptionally difficult because I tend to miss a major/minor inference that would allow the game to be solved much quicker.
My question is, then, what questions do you ask yourself when making these major, yet subtle, inferences? I seem to struggle in that regard in many cases, which slows me down a TOOONN for the section, effectively making me guess on like.. 2-3 questions at the end.

Any tips on making inferences?
Thanks guys!