Since a fortune is a lot of money and a pittance is "a very small or inadequate amount of money paid to someone as an allowance or wage," "fortune" and "pittance" are opposites, and we need to pick out a word that is an opposite of "excess." Since "excess" means "an amount of something that is more than necessary, permitted, or desirable," we should pick out a word that has to do with not having enough of something. While "paucity" and "decline" may both look like correct answers, decline is a verb, so it can't be the correct answer, as we need a noun. Since "paucity" means "the presence of something only in small or insufficient quantities or amounts; scarcity," "paucity" is the answer choice that is closest to being an antonym of "excess," so "paucity" is the correct answer.

"Ebullience" is a noun that means "the quality of being cheerful and full of energy; exuberance," and "lassitude" is a noun that means "a state of physical or mental weariness; lack of energy." Since the two words are antonyms, we need to pick out another pair of words that are also opposites. Since "ennui" means "a feeling of listlessness and dissatisfaction arising from a lack of occupation or excitement," "interest" is its opposite. Since "ennui is to interest" is the only answer choice whose words are antonyms, "ennui is to interest" is the correct answer.

Something that is precarious is not stable, and someone who is not lithe is clumsy. 

Stoic means not showing one's feelings or not complaining. Emotional means showing very strong feelings. Stoic is the opposite of emotional. Silent is the opposite of noisy. Thus, the two sets of words have the same relationship.  

Trivial is an adjective that describes an event of little importance. This is an antonym of significant so to solve this analogy you need to determine the best available antonym for self-aggrandizing. Self-aggrandizing refers to the act of exaggerating one’s own importance therefore an acceptable antonym would be modest. Modest means humble. For clarification boastful is an antonym of modest; lethargic means very tired.

Sardonic refers to behavior or expression that is disdainful, mocking and cynical. This is an antonym of genuine so to solve this analogy you are looking for the best available antonym for amiable. Amiable means friendly, likable and pleasant so the best answer choice is dislikable. For clarification foolish means not wise; remorseful means expressing regret; worldly means well-informed or knowledgeable.

Comely is an adjective that means cute or good-looking. This is an antonym of repulsive which means disgusting; therefore to complete the second part of the analogy you are required to find the best possible antonym for miserable. Miserable means very sad. The correct answer is ecstatic which means very happy.

Hyperbolic is an adjective which describes language or behavior that is exaggerated or over-the-top. Understated has the opposite meaning so to solve this analogy you need to find which answer choice is the best antonym for intangible. Intangible means lacking material qualities, hard to define or incapable of being perceived. The best antonym for this is palpable, which means able to be felt or so intense it is almost able to be felt. For clarification, degrading means making someone feel humiliated; implicit means something not stated, but nonetheless understood; recalcitrant means resistant to authority; nonsensical means ridiculous.

“Nemesis” is a noun that can mean either “the inescapable agent of someone’s or something’s downfall” or “a long-standing rival; an archenemy.” So, a superhero and a nemesis form a pair of rivals, and we need to pick out an answer choice that also consists of two nouns which form a pair of rivals. While “ally is to friend” and “competitor is to rival” might each look like a potential correct answer, “ally” is a synonym of “friend,” so the two words cannot represent a pair of rivals and “ally is to friend” cannot be the correct answer. “Hero” and “villain,” however, do form a pair of rivals like “superhero” and “nemesis,” so “hero is to villain” is the correct answer.

“History” is a noun associated with time that has passed, while “future” is a noun associated with time that is yet to pass. So, we need to pick out a pair of nouns in which the first noun is associated with the past and the second noun is associated with the future. While “present is to past” and “yesterday is to tomorrow” might each look like a potentially correct answer, “present” is not associated with the past and “past” is not associated with the future, so “present is to past” cannot be the correct answer. “Yesterday,” however, is a noun associated with the past, while “tomorrow” is a noun associated with the future, so “yesterday is to tomorrow” is the correct answer.