If someone is "arrogant," they are known to be proud and pompous, so "pompous," which means full of oneself, is the correct answer. None of the other answer choices are close in meaning to "arrogant": "modest" means playing down one's own accomplishments and skills, so it is an antonym of "arrogant"; "inferior" means lesser than something else in quality or some characteristic; "secretive" means uncommunicative or not giving out very much information about something; and "content," when used as an adjective, means happy with the one's current situation.

Something that is "discreet" is careful, tactful, or prudent, so "prudent" is the correct answer. None of the other answer choices are close in meaning to "discreet": "obvious" means overt or easy to understand or see; "hopeful" means optimistic; "fraudulent" means deceptive; and "unknown" means not known, as you can tell from the word being a combination of the negative prefix "un-," which here means not, and "known."

The word "amiable" means having a friendly and pleasant disposition; therefore, "friendly" is the word that most closely matches the definition of "amiable." "Ambivalent" means having mixed feelings and "pious" means extremely religious. Like "responsive," their definitions are unrelated to the meaning of "amiable," making them incorrect answers choices.

You likely know of the word "barbaric" by association with "barbarous" (a direct synonym) or "barbarian." The latter word, "barbarian," likely conjures up many images of men with horned helmets and other such stereotypes. The word actually comes from an insult used by the Greeks to describe persons who did not speak Greek. They seemed to be uncivilized and uncultured; their language sounded like "bar bar bar."

In any case, the word "barbaric" eventually developed to describe the cruel behavior attributed to such people. Thus, a number of words like cruel, savage, and vicious all are synonyms. Likewise, the word "barbaric" is at times used to describe someone who is uncivilized. However, note that being "uneducated" is not exactly the same as being uncivilized. Someone can be generally civilized and able to function in society and still be uneducated. Therefore, the best answer among those provided is "cruel."

When we "persist" in something, we keep doing it even though it is difficult. Someone who is "persistent" is a person who continues to work on something no matter what problems or difficulties arise. Persistence is the character trait of such a person. For instance, we would say, "With much persistence, Paul finally finished his long paper and was able to graduate." Although a studious person is persistent in studying, the word "studious" is too particular and really just deals with one type of persistence. The only option that matches the meaning of "persistence" generally speaking is "determined." When we are "determined" in our goals, we have set one goal and "stick to it" until it is completed.

Generally speaking, "dedication" describes a trait that indicates that someone or some thing is "set aside" and "devoted" to some task or cause. When a computer server is "dedicated" to a given task, it is set aside to work solely on that task. When an employee is "dedicated to his or her company, he works hard and remains steadfast in spite of difficulties. The word "steadfast" really means "standing firm," as in the informal expression "stand fast," in which "fast" means firm or certain, not quick. Dedication requires that someone or something "stand fast" or remain firm in resolve. Note that the word "regular" does not necessarily indicate such firmness and therefore is not as good of an option as "steadfast."

"Wary" is an adjective that means cautious, so we need to pick out an answer choice that is an adjective and means something like cautious. "Reckless" cannot be the correct answer, then, because "reckless" is an antonym of "cautious." "Careful," however, is an adjective that means paying attention to details in order to avoid danger, and because it is the answer choice closest in meaning to "wary," "careful" is the correct answer.

"Eccentric" is an adjective that is used of a person or their behavior and means "unconventional and slightly strange." So, we need to pick out an adjective that means something like "unconventional." "Conventional," then, cannot be the correct answer, because "conventional, which means "based on or in accordance with what is generally done or believed," is an antonym, not a synonym, of "unconventional." "Quirky," however, is an adjective that means "characterized by peculiar or unexpected traits," and because "quirky" is the answer choice closest in meaning to "eccentric," "quirky" is the correct answer.

To be adept at something is to be skilled or good at it. To further help you, tropical means having a warm and wet climate; frigid means very cold; stifling means very hot and restrictive; challenging means difficult.

When something is "captivating," it is able to take someone "captive"—at least figuratively speaking. That is, it captures your attention because of its forcefully interesting character. Sometimes, the word can be used as a positive description of someone (a captivating personality). Generally speaking, the best use of the term is one that indicates forceful capturing of attention. Therefore, the best option among those provided is "enchanting." Something "enchanting" is very attractive or charming. Such enchanting things are able to capture someone's attention as well. Hence, they are rightly called "captivating."