The word "divisive" clearly comes from roots related to "divide," meaning to cut up. When someone makes "divisive remarks," that person ends up dividing himself or herself from a group of people. Indeed, he or she often causes the very group to break apart because of how people take sides in response the comments. Thus, a good synonym for "divisive" is "alienating," which describes something that causes similar rifts and anger.

The word "vitality" comes from the same roots as "vital," which means either "essential" or "having life." The root word vita is found in Latin and means life. Now, the "vital signs" for someone in a hospital are the signs that indicate how healthy that person is. Thus, "vitality" is the state of being healthy. The word "energy" is the best option among those given for a potential synonym to "vitality."

The word ardor comes from the Latin for to burn. It is related to "ardent," which describes someone who is passionate. (An ardent person "burns" with devotion and passion.) We would use ardor to mean a state of passion, as in the sentence, "He was filled with ardor for the woman whom he loved." This indicates a kind of intensity. Thus, "intensity" is the closest synonym among the options provided. The words "difficulty," "trouble," and "exertion" all try to get you to confuse "ardor" with "arduous". The latter means difficult, but that is not the meaning of "ardor."

The word "mutable" comes from Latin roots that mean to change. A genetic mutation is a change in a gene in a cell. While such mutations can have very negative effects, these are not the same as the mutation itself. To be mutate is to change. Therefore, the best option among those provided is "fluctuating" which alone among the possible answers indicates change.

The word "dismiss" comes from two Latin roots that are familiar. The "dis-" means away from and is related to the "de-" that we find in "descend" and "deconstruct." The "-miss" portion is the same as that found in "missive" (mail / letter) or "missile." Thus, to "dismiss" means in its roots to send away. The English meanings therefore include things like to reject, to send away, and even to fire from a job. It is this last sense that is most important for this question. If an employee is dismissed, he or she is fired. To be "terminated" is to be brought to the end of one's service. ("Term-" comes from Latin meaning "end", as we see in the word "terminal" used in airports.)

The word "arcane" comes from the Latin for closed up. The word "arc" comes from similar roots. When something is described as being arcane, it is mysteriously closed up from people's knowledge. Often, this has connotations of being magical. This is not, however, the primary meaning of the word. Thus, the best option here is "mysterious." Be careful not to mistake "arcane" for "archaic". The latter means, Ancient or out of date. These are not the same, even though some archaic things might be arcane because of their age!

The word "integrity" indicates that something is completely together with all of its parts. Thus, "structural integrity" describes the completion and strength of a building that is not falling apart. The word is also used to describe someone's character when it is excellent. Thus, if we say, "Harvey is a man of integrity," we mean to say that he is a morally good man. The word "rectitude" describes such a good character state. It comes from Latin roots for "straight" and is related to words like "erect" and "upright."

The word "fracture" comes from the Latin "frangere," meaning to break. It is found in words like "fragment" and even "refract." Although we often think of fractures as happening to bones in the human body, the word really applies to any kind of breaking or splintering of something. Thus, the option "shatter" is much better than options like "injure" and "cripple". These are related to what happens when someone fractures his or her bones, but the fracturing itself is the breaking or shattering. The option "damage" is far too general.

The word "fraternal" comes from the Latin "frater," meaning brother. A college fraternity is a brotherhood. Something that is "fraternal" has the character of being brotherly. For instance, two friends might have "fraternal affection," meaning that they care for each other like brothers. The same kind of attitude can be found among members of a union in which the members try to help each other as though they were each other's brothers.

The word "arouse" generally means to awaken. It can be used to describe the awakening of emotions, thoughts, memories, or other such things. In a way, you can say that something that arouses "calls out" the given thoughts, emotions, etc. To "evoke" something is to do just this. The word "evoke" comes from the prefix "ex-" / "e-," meaning "out of," attached to "-voke," which means to call. (The latter is related to "vocation" and "vocal".) Thus, "evoke" is the best option among those provided.