The correct answer will refer to the musician's skill on the piano ("virtuosity") and as a result, how he is able to combine ("juxtapose") three different melodies in his performance. The incorrect answers either dismiss the musician's skill ("ineptitude" and "unfamiliarity") or do not use a verb that indicates that the musician combined the melodies ("transmute" and "promulgate").

The second sentence indicates that the bishop wishes to stop the movement.  It does not indicate any desire to persecute.  The word “arrest” might seem, at first glance, to carry the same negative, “persecuting” sense as some of the other options, but the word likewise can mean “to stop” as in the usage “arrested development” to describe someone who is stunted with regard to some kind of growth.  A “sect” is group differentiated by their beliefs, often with a negative connotation in regard to an accepted orthodoxy.

A "litigant" is someone involved in a lawsuit, while to "manifest" means, in this instance, to show plainly. Arguably, a sweating and presumably nervous litigant would reveal himself to be guilty.

The sense of the sentence communicates that Othmar’s fame is increasing. When something “waxes,” it is increasing in size or intensity. The word is normally used to describe the increasing of lunar light as the moon becomes larger (at least in its visibility, that is). This primary usage is often transferred in order to describe the growing of things other than the moon. The opposite term (i.e. the term for decreasing lunar light exposure) is “wane.”

The second word, “renown,” means fame, particularly in the sense of being discussed by many people. It is derived from roots related to words like “nominate” and “nominal”—words that have to deal with the notion of names (the “nom-” root).

As one ages (and becomes tired), they can be said to be in a state of “dotage,” meaning that they are old and weak. To step down from rule is to “abdicate” from it.

We are told that the director's reaction is due to his thick skin, which tells us that there is some substantial criticism (so we can rule out "dearth," or lack) and that he is not overly-affected by it (so we can cross out "unaffected," because if he is "hardly unaffected," the double negative (as in math) would mean that he was, in fact, quite affected by the criticism. The "impacted . . . waive" option would work if the second word were the noun "wave" instead of the verb "waive," which means to give something up willingly. We are left with "fazed" (affected) and "barrage" (an onslaught or flood).

The key to this sentence is the fact that the original painting is done by a professional artist; the painting is presumably well done. Thus, if you wanted to mimic or emulate the painting, you would need to look at it closely or scrutinize it.

For the first blank, we need to pick out a word that means something like "steal," because we know that the sentence concerns a "thief" and thieves are likely to steal treasures. Either "finagled" ("obtained something by devious or dishonest means") or "purloined" ("stole something") could be potentially correct. For the second blank, we know that the thief does not approve of his nephew's decision to become a thief, because "he just didn't want to see his nephew get into any trouble with the law." So, we need to pick out a verb that means something like "support," because we know that the thief could not support his nephew's decision. Either "condone" ("accept and allow behavior that is considered morally wrong or offensive to continue") or "approve of" could be potentially correct. Of the possible words that we've identified as potentially correct for each blank, only "finagled" and "condone" appear in the same answer choice, so the correct answer is "finagled . . . condone."

The verbs in this sentence need to make sense in each other's context—so, although "to stack" and "to create" have the proper meaning, they are not grammatically sound options. Out of the rest of the possible answers, "heaps . . . generating" makes the most sense, since it means to put the cupcakes in a pile and then create a mess.

"Nullify" means to negate or make invalid. "Eschew" means to avoid or dodge a responsibility or duty. "Usurp" means to take over or seize. "Procrastinate" means to put off doing something. "Wane" means to decline or dwindle. "Incite" means to provoke or agitate. "Harbinger" means to herald or give a prior indication. "Oscillate" means to move in a side-to-side motion. "Glean" means to gather or collect in a gradual manner. "Pander" means to provide what someone wants even though it may not be preferable.