"Conditional" means not absolute, subject to certain conditions or situations. Whereas, "plenary" means unqualified, not conditional, not subject to constraints. These two words are therefore antonyms, so to solve this analogy you need to determine the best available antonym for "immemorial." Well, "immemorial" means ancient, before the beginning of recorded history. So, the correct answer is "modern." Additionally, "archaic" means ancient and outmoded, no longer in contemporary use; "supreme" means best, greatest; "perspicacious" means discerning, having a keen insight into things, able to notice things. 

"Energetic" means full of energy. Whereas, "quiescent" means at rest, in a state of inactivity. These two words are therefore antonyms, so to solve this analogy you need to determine which of these words has the opposite meaning to "phlegmatic." Well, "phlegmatic" means (of a person) calm and emotionally stable, composed and tranquil. So, the correct answer is "volatile," which means unstable, likely to change in a negative or even catastrophic fashion. Additionally, "cerulean" means having a sky-blue color; "verdant" means green, having the color of grass; "salubrious" means promoting good health, beneficial; "mordant" means (of humor) sarcastic, cutting, and scathing.

"Retard" means to slow the progress of, to slow something down. It is therefore an antonym of "accelerate." So, to solve this analogy you need to determine which of these is an antonym of "validate." Well, "validate" means demonstrate the validity of, prove to be true, substantiate. It is therefore an antonym of "quash," which means reject or make null and void. Additionally, "remonstrate" means protest passionately against; "extirpate" means destroy completely; "waive" means give away certain rights; "protrude" means stick out from.

Since "saccharine" means overly sweet or sappy, we're looking for an adjective for which "nosy" describes the overabundance of that quality. Of the adjectives listed, "interested," "willful," and "prying," "willful" is not clearly related to "nosy," so we can ignore it as a possible choice. In choosing between "interested" and "prying," "interested" is the better choice, as "prying" has negative connotations and is closer to being a synonym of "nosy" than is "interested," which retains the positive connotations like "sweet" does when compared to "saccharine."  

"Warm" is a more mild form of temperature than is "hot," so to solve this analogy, you have to determine which answer choice is a more intense form of the word “amusing.” "Amusing" means moderately funny or entertaining, so the correct answer must mean very funny and entertaining. As a result, the correct answer is “uproarious” which means hilarious or extremely funny. For clarification, "despondent" means without hope; "parsimonious" means stingy with money; "eloquent" describes someone who speaks with style and control; and "derivative" describes something unoriginal.

The relationship of "dislike" to "abhor" is a relationship of intensification. To "abhor" someone is to dislike them to a very high degree—to hate them. The only relationships of intensification amongst the answer choices are "respect is to revere," "storm is to drizzle," and "snow is to blizzard." We can rule "storm is to drizzle" out, because the words are in the wrong order. That leaves us with two choices. "Respect is to revere" is the best choice because it is a relationship of intensification of a feeling that one can have for another person.

Someone who is supercilious ("behaving or looking as though one thinks one is superior to others") is extremely proud, so we need to pick out a pair of words in which the second word is an adjective meaning an extreme amount of the first adjective. While "happy is to ecstatic," "exhausted is to tired," and "sad is to furious" all look like potentially correct answers, only "happy is to ecstatic" and "sad is to furious" have their words in the correct order, and "sad is to furious" does not match up - someone who is furious is very angry, not very sad. So, the correct answer is "happy is to ecstatic."

Ravenous means hungry but to a more extreme degree. Petrified means scared, but to a more extreme degree.  

This analogy uses adjectives that decrease in intensity. "Illustrious" contains the root "lustr" meaning shine. It is being compared to "impressive." While something "impressive" is "nice," we attribute more value to things that "shine." Take for example, gold or jewels.  Following this relationship, we want a word that has the same basic meaning as "offensive" but with more intensity or strength.  

Of the choices, only "abhorrent" is correct. All the words in the analogy are adjectives, meaning the answer must also be one. Additionally, "abhorrent" contains the prefix "ab" (away) and the root "horrere" (horror, tremble at). Put together, these mean something that is so horrible, we turn away in hate and disgust.

Malicious (adj), root word "mal" (bad, evil). While something "evil" could be "offensive," it is not directly related in meaning to "offensive."

Luminous (adj), root word "lum" (light). This word is related to "illustrious," not "offensive."

Graceful (adj), means full of grace, smooth of disposition and well-mannered. Again, this is the opposite of "offensive."

Dissecting (verb), refers to the act of cutting (a body) into two for study. While some might find the act offensive, it is subject to personal opinion, and is not an adjective.

The word "pungent" means strong smelling. "Pungent" is a particularly intense word that relates to smell. So, to solve this analogy you are looking for an answer that is a particularly intense word that relates to sound. The correct answer is "deafening" which means very loud. Additionally, "harmonious" and "melodious" both mean pleasant sounding; an "aspirant" is someone with goals, someone who aspires to something in particular.