"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.

A “rose” is a type of “flower,” so we need to find a word which describes what “wheat” can be classified as. “Wheat” is a type of seed used to make food and is commonly classified as a “grain,” along with rye, barley, and oat. To clarify the other terms, a “diaspora” is a group of people who live away from where their ancestors lived; to “venerate” is to feel or show deep respect for.

A “book” is a type of “publication,” along with things like magazines and newspapers. We need to find the group that “shark” fits into. A “shark” is a type of fish with cartilage instead of bones and is usually carnivorous. “Shark” fits into the group “fish.”

A prince is a member of royalty, so to solve this analogy you have to determine which of these answer choices is a group that a baron belongs to. A baron is a member of the aristocracy, also known as a member of the “nobility.” To provide further help, “ability” means skill; “culpability” means responsibility; “capacity” is limit on ability; “animosity” is a feeling of hatred and anger.