This analogy is relatively simple, all you have to note is that “cold” describes ice. Thus, you are looking for something that describes the sun. All of the incorrect options are related to the “location” of the sun (i.e. “in” the sky) or when it is in the sky (“morning,” “daytime,” “diurnal”). None of these pertain to a description of the sun itself. Though simple, the best option is “bright.”

A virgin is someone who has never had sexual intercourse. If this is by choice, such a person is characteristically chaste. Thus, the analogy requires that you look for a characteristic that could be applied to a criminal. Among those mentioned, you could consider any of the options, but the only one that covers the situation most generally is “iniquitous.” A criminal has done something wrong, and an iniquity is a sin or wrongdoing; therefore, the best characteristic term among those provided is “iniquitous.” A criminal can get away with a lot and not be caught, and not all criminal actions are done in a slinking way; however, inasmuch as they are criminal, they are wrong, and hence, iniquitous. (This presumes, of course, that they are true crimes—as Thomas Aquinas said, an unjust law is no law at all. This, however, is not our concern! Take the simple case of someone who is justly called a criminal).

An athlete can be described as being “fit,” that is being “in shape.” Thus, this analogy is looking for a word that would adequately describe a coward. This is not necessarily a synonym as much as it is a descriptive adjective. Among the options provided, it might be that a coward is unreliable or perhaps, for some ethicists at least, vicious (in the sense of having a vice); however, the only option that really describes the coward as a coward is “fearful.”

"Ice" is a "solid," just as "vapor" is a "gas."

Congestion is the state of being blocked. The word is often used to describe traffic that has slowed because of the number of cars in a given area. It is likewise used to describe when one’s nose / air passages are filled with fluid or mucus. To be “obstructed” means “to be blocked.” Thus, we could say, “As congestion is by its nature obstructed, so is a cascade X.” A cascade is either a small type of waterfall or any type of continuous passing on of material or information. Thus, a cascade by its nature is something flowing.

A desperado is a person who is completely desperate—hence the name—an therefore likely criminal and reckless in action. Having no hope, such a person will do anything to further his station. The option “reckless” describes a character trait of a desperado, so the analogy requires that you select a character trait for a puritan. Since the term is not being used with a capital “P,” it here means merely someone who is very strict and rigid in morality. This may often have been the case with the Puritans in early America, but they are no longer among us. Still, the term lives on. Such “puritanical” people are “abstemious,” that is, they abstain or do not indulge in many pleasures.

"Fluid" and "liquid" are both synonyms, just as "warm" and "temperate" mean roughly the same thing.

A saint is a person who is considered holy by some group. The word comes from the Latin “sanctus” meaning “consecrated,” “sacred,” or “holy.” The word “sanctify” means “to make holy.” Thus, the analogy is one of description, as though to say, “As a saint can properly be said to be holy, so a daredevil can be said to be X.” Now, the options “idiotic” and “insane” really import an additional judgment regarding the prudence of such daring people. They aren’t completely proper to the notion of being a daredevil (even if they do apply to some degree). “Stuntman” is a synonym, not a description. Thus, the best option is “fearless,” for a “daredevil” is so called because he or she dares to do quite fearful things.

A meritocracy is a form of government or organization that ranks its members based on their abilities and accomplishments. This is not always the case, for some organizations prize loyalty (or perhaps other things) more than ability. The bridge sentence for the analogy could be constructed, “As a meritocracy is based upon ability, so is a democracy based upon X.” Democracies, in their purest forms at least, base themselves upon a presumed equality among citizens. As Aristotle once said, in democracies people believe that if they are equal in at least one things—i.e. freedom—they should be equal in all. This is quite different from an oligarchy of the rich, for he said of them that they believe that if people are unequal in one thing—i.e. wealth—they should be unequal in all. This is a bit overstated, but it makes the point for this analogy!

A “segue” is an immediate transition from one scene or song in a movie, musical, play, symphony, etc. It ultimately comes from the Latin for “to follow,” which we use in the phrase “non sequitur,” which means, “That does not follow from what went before it.” The analogy could be written, “As a segue is characterized by being immediate, so is eloquence characterized by X.” Eloquence is a persuasive form of speaking or writing. Often, the word is also used to describe a beautiful use of language. For our analogy, “convincing” best describes a characteristic of eloquence.