When it rains, it causes things to become wet, so to solve this analogy, you have to figure out what the cold causes things to become. Well, the cold can cause liquids to freeze, so "frozen" is the correct answer, so this is the correct answer.

If you go swimming you are likely to find yourself wet afterward, since swimming most often involves being in water. To solve this analogy, then, you have to determine which of these answer choices is an effect of going running; the correct answer is therefore "tired."

Someone who is clumsy is someone who falls over and drops things often, and therefore someone who might cause something to break. To solve this analogy, you have to determine what someone who is forgetful might cause to happen to something. Being forgetful means you often forget things or lose them, so the correct answer is "lost." To provide further help, "repaired" means fixed, and "destroyed" means broken.

When one has an "engagement," one becomes a "fiancé." Likewise, when one has "a wedding," one becomes "a spouse."

To complete the analogy, you first need to determine the relationship between the initial pairing. A "writer" writes a novel; a writer completes a novel. There is a sense of cause and effect. You should therefore look for that type of relationship in the possible answers. A runner runs a race; a runner completes a race. No other answers fulfill the relationship in this way.

A "decoy" is something used to mislead, distract, or trap someone. So, the purpose of a "decoy" is to "distract." What is the purpose of a "circus?" The correct answer is to "entertain" (provide fun, laughter, and amusement). Additionally, "deplore" means hate; "pity" means feel sorry for; "refrain" means stop oneself from doing, not allow oneself to do; "relent" means give up. 

“Carve” is a verb that can mean “cut (cooked meat) into slices for eating” or “cut (a slice of meat) from a larger piece,” while “slice” is a verb that can mean “cut (something, especially food) into slices.” So, that means that “carve” an “slice” are synonyms, and that we need to pick out an answer choice that consists of a pair of synonyms. “Hurt” is a word that when used as a verb means “to cause injury,” while “pain” is a word that when used as a verb means “to cause mental or physical pain.” So, because “hurt” is a synonym of “pain” just like “carve” is a synonym of “slice,” “hurt is to pain” is the correct answer.

"Odd" and "eccentric" have similar meanings. The only pairs of words that have a similar relationship is "beautiful is to gorgeous."

"Clever" is a synonym of "smart," so to solve this analogy, you have to figure out which of the answer choices is a synonym of "dim." "Dim" means not very smart or stupid, so "stupid" is the correct answer. None of the other answer choices are synonyms of "dim": "timid" means shy; "wise" means very clever; and "brilliant" means extremely smart or great.

"Frigid" means very cold, so "cold" and "frigid" are synonyms. So, to solve the analogy, you need to pick out an answer choice that means the same thing as "sweltering." "Sweltering" means very hot or stifling, so the correct answer is "hot."