The sentence is expressing a contrast. It is surprising that Gregory is calm during a set of circumstances that apparently would be a cause for him not to be calm. This means that he was often—even in small things—agitated or nervous. It does not make sense to say that he was somewhat raging. A "raging" person is someone who is very angry; it is not a matter of many degrees. The other options do not provide an adequate contrast to the calmness. Therefore, the option "agitated" is the best.

From the description of William, it is safe to say that he does not spend much time thinking about other people. In almost every aspect of social interactions, he is self-centered and causes inconvenience for others. Another way to describe this is to say that he does not even consider the other people at all. Therefore, we can fairly say that he is "inconsiderate." While he might be called "greedy" (for not paying) or "boisterous" (for talking over others), the description "inconsiderate" best describes the complete nexus of bad character traits that he shows.

Since the project did not seem to require attention to details, Bob likely did not think that he needed to be concerned with the specific details of measurement. When someone is "precise," he or she is very careful about the exact details of something. The opposite of this is to be "imprecise," which is the best option among those provided.

This sentence expresses a contrast between Julie and Sarah. Wheras Julie never sets any significant goals, it is implied that Sarah does set significant goals. While it might be said that the setting of such goals is "courageous" or even "energetic," we cannot assume that the goals are either frightening (needing courage of some sort) or that they require a lot of energy. They might require either, both, or neither of these. However, what we can say is that insofar as they are significant goals, they require some ambition. Ambition is not always a bad thing. An "ambitious" person aims to accomplish goals, generally difficult ones. This is the best option among those provided.

In this sentence, Vince is being contrasted to Rickard inasmuch as Rickard is modest and Vince, apparently, is not. Specifically, Vince's immodesty pertains to his concerns about appearance and clothing. Since he is prominently displaying these, he must have a high opinion of his appearance. Such a person is vain—an attitude quite the opposite of that found in a modest person.

The subordinate clause beginning with "though" seems to indicate that the room was not completely clean. The word "though" (or "although") does not indicate a complete contrast. Instead, expresses a qualification on what is said before. Therefore, the room really is clean, even though it might be deficient in some respects. Among the options provided, the word "relatively" indicates that the room was at least partially clean. The other options either imply that it was totally clean or was not clean enough.

Clearly, Laura does make negative judgments about other people and likely misjudges their characters. Still, among the options, "cynical" is the best because it most directly matches the hints provided in the further desription of Laura. She is said to question the motives of others. She always believes that everyone acts out of self-interest. When we believe this about other people, we are said to have a "cynical view" of them.

Since the man is being excluded from polite society, we need an adjective to describe his temperament as being "not polite." Now, some of the options do not describe the mannerisms of "normal" societal members (e.g. "unkempt," "disheveled," and even "quixotic"). However, these have to do either with appearance or with being a dreamer. These are not, properly speaking, opposites of "polite." (Remember, you need to follow the clues provided in the sentence.) The word "savage", though strong, does indicate a temperament that is violent and uncontrolled. Often, it also means that it is uncivilized. These two meanings together make for a good adjective for our sentence.