A xylophone is an example of an instrument, so we need to pick out an answer choice that consists of two nouns, where the first is an example of the second. While “pear is to fruit” and “game is to chess” might each look like a potentially correct answer, “game” is not an example of a “chess,” so “game is to chess” cannot be the correct answer. A pear is an example of a fruit, however, just as a xylophone is an example of an instrument, so “pear is to fruit” is the correct answer.

A scull is a small boat, so to solve this analogy you have to determine which of the answer choices is a bigger version of a hamlet. A hamlet is a small community, like a village, so the correct answer is “town.”

A "virtue" is a good or righteous attribute in a person, and a "vice" is the opposite, a negative or bad attribute in a person. "Honesty" is a example of a virtue, so to solve this analogy you have to determine which of these answer choices is an example of a vice. "Mendacity" means dishonesty and is the best example of a vice that is available.

"Vermillion" is a shade of red, so to solve this analogy you have to determine into which color lavender can be categorized. The correct answer is “purple.” For clarification, "shade" and "hue" are synonyms of one another.

Crimson is a shade of red, so to solve this analogy, you have to determine a color of which teal is a shade. Teal is a bluish-green color, so "blue" is the correct answer.

A "Dalmatian" is a type of "dog," so to solve this analogy, you have to determine what type of animal a "lynx" is. A lynx is a type of wild cat, so "cat" is the correct answer. While "lion" might look like a potentially correct answer because, like a lynx, a lion is a type of wild cat, "lion" cannot be the correct choice for this very reason. If the model relationship in the analogy were "Dalmation is to dachshund," then "lion" would be the correct answer, but because the second word of the model relationship is "dog," the category into which "dalmation" fits, "cat," the category into which "lynx" fits, is the correct answer.

Judaism is a type of religion, so to solve this analogy, you have to determine what category socialism falls into. The correct answer is “government,” as socialism is a political system of communal ownership.

The relationship between "cockatoo" and "bird" is that a cockatoo is a type of bird. Likewise, a "frog" is a type of "amphibian." One choice that may seem similar is "whale is to fish," but whales are not fish; they are mammals. Therefore, there is no relationship between "whale" and "fish." The choice "mammal is to dolphin" shares the same relationship as a "dolphin" is a type of mammal, but the order of the words is category to example instead of example to category, as it is worded in the question. Therefore, "mammal is to dolphin" is an inappropriate choice. The relationship between "bird" and "sky" is that birds fly in the sky. The relationship between "plant" and "animal" is unclear. 

“Scarlet” is a type or shade of red, or a bright red color. “Cerulean” is a type or shade of blue specifically meaning of the color blue of the sky.

“Mice” belong to the group “rodent,” which include gnawing animals that have constantly growing incisors. A “possum” belongs to the group “marsupial,” which include animals that carry their babies in a pouch over the stomach. To further help you, a "pest" is something that is a nuissance.