A "quark" is a type of subatomic "particle" of matter. So, a "quark" is an example of a "particle," which of these categories does "pewter" fit into? Well, "pewter" is a mixture of tin and lead. This makes it an "alloy," which is metal that is comprised of two or more metals to make it stronger or more useful. Additionally, a "crucible" is a trial, a particularly grueling trial; a "strut" is an exaggerated walk; "posh" means wealthy and refined, dignified and aristocratic; a "quarry" is a place where things like stone and marble are mined.

"Philanthropy" means charity and it is an example of "rectitude." To be clear "rectitude" means virtue, (of behavior) morally right and principled, righteousness. So, to solve this analogy you need to determine what "addiction" is an example of. Of the available answers the best option is "pathos," which means characteristic that evokes pity and causes one to feel sad for someone else. Additionally, a "declamation" is a speech given in protest; a "hiatus" is a prolonged gap or break from something; a "renegade" is a mutineer, someone who rebels against authority; a "somnambulist" is a sleep-walker. 

Gerrymandering is the process by which electoral areas are divided to manipulate the political process; therefore, in order to solve this analogy you have to determine what purpose a filibuster serves in the political process. A filibuster is an extended speech given to delay, or holdup, the passage of a bill.

"Obscene" is an adjective that means offensive and indecent. "Censor," when used as a verb, means officially suppress aspects of a text or work of art for being perceived as offensive. So, something that is obscene has a high likelihood of being censored, and we need to pick out an answer choice in which the second word is an adjective, and the first word is a verb describing what would likely be done to something that adjective describes. Only two answer choices include a verb followed by an adjective: "retract is to incorrect" and "type is to mendacious." While "type is to mendacious" might look like a potentially correct answer, "mendacious" means lying or not truthful. Since there is no clear connection between typing something and the thing typed being untrue, "type is to mendacious" cannot be not the correct answer. "Retract is to incorrect" is the correct answer because just as if something is obscene it is likely to be censored, if something is incorrect it is likely to be retracted, or withdrawn due to it being untrue.

"Accolade" is a noun that means an earned award of merit, so one is likely to be proud when one receives an accolade. So, we need to pick out an answer choice in which the second word describes an emotion one might feel when experiencing or receiving what the first word describes. "Dinner is to hungry" might look like a potentially correct answer because like "accolade to proud," it consists of a noun followed by an adjective describing an emotion. However, one would not expect to feel hungry after receiving a dinner, so it cannot be the correct answer. "Threat is to afraid" is the best answer choice because just as one might be expected to feel proud after receiving an accolade, one might expect to feel afraid when receiving a threat.

“Sleepwalk” is a verb that means walk around while sleeping, so someone who is asleep might sleepwalk. That means that we need to pick out an answer choice in which the first word is a verb, and the second word an adjective describing a condition under which someone might perform the verb’s action. While “rest is to exhausted,” “give up is to optimistic,” and “eat is to thirsty” might each look like a potentially correct answer, “eat is to thirsty” cannot be the correct answer because “thirsty” means needing to drink something, so we would not necessarily expect someone who is thirsty to eat anything. Similarly, “give up is to optimistic” cannot be the correct answer either, because “optimistic” means hopeful, so we would not expect someone who is optimistic to give up. However, we could logically expect someone who is exhausted (drained of energy) to rest, just as we might expect someone who is asleep to sleepwalk, so “rest is to exhausted” is the correct answer.

An object that is "flammable" can catch on fire, and if something catches on fire, a result is that it becomes burnt afterwards. Since "frangible" means able to be broken, we need to select an answer choice that describes the state of an object after it breaks. We know we need an adjective, which eliminates "shards" and "vase" as possibilities, and of "shattered," "delicious," and "justified," "shattered" is the only option that has anything to do with breaking, so it is the correct answer, since breaking something can result in it being shattered.

“Inflame” is a verb that means provoke someone, often making them angry, so inflaming someone could logically make them angry. We need to pick out an answer that describes how someone might feel after being mortified. “Mortify” is a verb that means embarass someone greatly, so “embarrassed” is the correct answer.

A sedative is something you might use in order to make you feel "drowsy," or tired; therefore, in order to solve this analogy you must find which answer choice would most likely be used to make someone feel energetic. The correct answer is "stimulant," which is something that provides energy. A "tranquilizer" would have the same affect as a sedative; "soporific "means causing sleepiness; and "lethargic" means lacking energy.

A "beam" can be defined as to smile or a smile, with a smile being an expression of pleasure. To solve this analogy, you must therefore identify which answer choice is an expression of pain. This should lead you to the correct answer, “grimace,” which means a contorted facial expression expressing disgust or pain.