A crate is a rectangular solid: a three-dimensional object that may be made out squares, a two-dimensional shape. Of the available choices, only the orange is a three-dimensional object, roughly spherical, matched with the corresponding 2D shape (a circle). "Triangle is to pyramid" gets the relationship backwards, moving from a two-dimensional to a three-dimensional object.

A yield traffic sign has three sides: it's a triangle. A stop traffic sign has eight sides: it's an octagon.

Designing is the what you call creating fashionable or attractive clothing, while styling is what you call creating fashionable or attractive haircuts.

A mispronunciation is an incorrect pronunciation, so we need to pick out an answer choice that describes what is incorrect in the case of a misnomer. While “name” and “spelling” might each look like a potentially correct answer, “misnomer” is a noun that means either “a wrong name” or “an inaccurate use of a name or term,” so “name” is the correct answer.

"Bourgeois" means of or relating to the middle class or capitalist values so to solve this analogy you have to determine which group of people is described by the word “proletarian.” Proletarian means of or relating to the working class.

Malaise is a feeling of discomfort, so to solve this analogy you have to determine what lethargy is a feeling of. Lethargy is a feeling of exhaustion. For clarification, transient means fleeting or passing; clandestine means secret; mirth is a synonym for happiness.

Existential means relating to existence, so to solve this analogy you have to determine to what terrestrial is related. That should lead you to the correct answer: of or relating to the land.

Tawdry means lacking taste, so to solve this analogy you have to determine what someone who is penurious is lacking. The correct answer is “money.” Penurious means very poor, possessing little property.

The best choice is "salmon is to trout." The relationship between "elephant" and "monkey" is that they are both mammals. Likewise, a salmon and a trout are both fish. Considering the other choices, "trout is to whale" is incorrect because trouts are fish while whales are mammals. "Giraffe is to grasshopper" is incorrect because, again, a giraffe is a mammal while a grasshopper is an insect. The remaining to choices, "frog is to amphibian" and "cat is to tabby" are incorrect because they are both examples of a respective category (frogs are amphibians and a tabby is a kind of cat).

“Verify” is a verb that means make sure that something is true, so one would logically verify something that is true. 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 that describes a characteristic of the thing one would apply the first verb to. While “suspect is to false” and “forget is to information” might both look like potentially correct answers, “forget is to information” cannot be the correct answer because “information” is a noun, not an adjective. “Suspect,” however, is a verb that when used as a verb, can mean doubt the truth of, so one would logically suspect something that is false, just as one would logically verify something that is true, so “suspect is to false” is the correct answer.