Video Explanation

Text Explanation

Answers: (A), (E), (H)

The very last part of the sentence tells us that we can’t figure out an artist’s “unconscious urges” by analyzing his or her artwork. Therefore, (A) works best. When you derive something you figure it out. (B) appreciate doesn’t really capture the sense of “figuring out/discovering”, which ties back to the clue “never definitively know”. The problem is that we have this clue: "urges that remain hidden even from the artist himself". The word "appreciate" means "to be aware of/to recognize the quality of." It doesn't really fit to say that someone could "appreciate" a part of a piece of artwork that the artist himself didn't know about. Rather, we want a word that means "extract". The sentence is talking about people finding something hidden in a piece of art. "Appreciate" doesn't have this connotation of "extracting" the hidden meaning.

At this point, we can figure out that deriving unconscious urges is a thorny problem. (E) intractable, which means difficult to deal with, matches this meaning nicely.

Finally, “empirical analysis” deals with testing observable, measurable phenomenon. The sentence tells us that we "never definitively know what is submerged deep inside the artist’s psyche." How can we empirically analyze something we don't know? In order to do an empirical analysis, we need quantifiable data. If we can't definitely know something, we can't have any data on it. Thus, the issue is (H) not readily amenable to empirical analysis, meaning it cannot be easily tested. We can't choose (G) "easily subjected to," which would mean the opposite: that we can indeed study and even solve the question by empirical analysis. And if we put (I) "likely to be resolved by" in the blank, we'd be saying the opposite of what we want - we'd be saying that this issue can be solved by empirical analysis, which is the opposite of what the correct answer choice says (not readily amenable to).