"Hue" is a noun that means "a color or shade," so "hue" and "color" are synonyms. That means that we need to pick out an answer choice which also consists of a pair of nouns that are synonyms. While "hue is to paint" and "speed is to rapidity" may each look like potentially correct answers, "hue is to paint" cannot be the correct answer because while paint has a certain hue, "hue" is not a synonym of "paint." However, "speed" and "rapidity" are synonyms, just like "hue" and "color," so "speed is to rapidity" is the correct answer.

“Erratic” is an adjective that means “not even or regular in pattern or movement; unpredictable,” while “variable” is an adjective that means “not consistent or having a fixed pattern; liable to change.” So, “erratic” and “variable” are synonyms, and we need to pick out an answer choice that also consists of a pair of synonyms. While “arid is to damp” and “frenetic is to hectic” might each look like a potentially correct answer, “arid” is an adjective that means “having little or no rain; too dry or barren to support vegetation” when being used to describe a land or climate, making it an antonym, not a synonym, of “damp.” “Frenetic,” however, is an adjective that means “fast and energetic in a rather wild and uncontrolled way,” while “hectic” is an adjective that means “full of incessant or frantic activity,” and because “frenetic” and “hectic” are synonyms, just as “erratic” and “variable” are synonyms, “frenetic is to hectic” is the correct answer.

"Aboriginal" and "indigenous" are two words used to describe people who are native to a particular area. To solve this analogy, you have to determine the best synonym of "foreign." The correct answer is “alien,” which can mean someone from another country, as well as someone or something from outer-space. For clarification, "detached" means separate or aloof, "apathetic" means not caring, "coincidental" means happening due to chance, and "adamant" means stubborn or inflexible.

"Under the weather" is an English idiom that means to feel sick. So, to solve this analogy, you have to determine which of the answer choices is most similar in meaning to the English idiom "weather the storm." "Weather the storm" means to endure something, so "endure" is the correct answer. For clarification, "laud" means to praise, "deride" means mock, and "chaperone" means accompany someone as their guardian when used as a verb.

Someone who is "wily" is also "crafty," as they have very similar meanings, so to solve this analogy you have to determine which of these answer choices is most similar to rancorous. "Rancorous" means vengeful, angry and unforgiving.

"Castigate" means tell-off, scold or rebuke, so to solve this analogy, you have to determine the best synonym of "debunk." To "debunk" something means to expose or disprove it, so "expose" is the correct answer. For clarification, "exhibit" means to showcase or to present.

A “raft,” a simple vessel used to cross water can also be called a “float.” Of the words the only one which means the same as “storm” is “tempest.” “Welfare” is somebody’s condition with respect to being happy and healthy.

"Lopsided" is a synonym of "uneven," so to solve this analogy, you have to determine the best synonym of "revoke." "Revoke" means to take something back or to cancel something previously granted, so the closest synonym is “cancel.” For clarification, "laud" means to praise and is an antonym of "condemn," which means to criticize, and "supplant" means replace.

"Tiny" and "minute" are both adjectives that describe the size of something, and they are synonyms. Here, we are using the definition of "minute" that refers to something very tiny, not to  of an hour. Similarly, "Colossal" and "vast" are adjectives, and they both refer to the size of something, and they are synonyms. "Colossal" and "vast" both mean extremely large.

None of the other analogies have this relationship:

An "abyss" is "deep", but abyss is a noun. Abyss means a vast, immeasurable chasm.

"Narrow and wide" are both adjectives, and both refer to the size of something, but they are opposites.

"Small" is an adjective that refers to size, but "size" is the general concept, not a synonym of small.

"Landscapes" can be "empty", but landscapes is a noun and empty is an adjective. Additionally, landscape and empty are not synonymous.

Sprint and dart are synonyms meaning to run quickly. Likewise, wander and meander are synonyms meaning to walk slowly or without set purpose. 

None of the other options are synonyms for wander, and therefore do not complete the analogy.