To blaspheme means to speak ill or mockingly of God. So blasphemy is an offense against religion. To solve this analogy you have to identify what adultery is an offense against. "Adultery" means to engage in physical intimacy with someone other than your spouse so it is an offense against “marriage.”

Creation and destruction are antonyms of one another, so to solve this analogy you have to determine the best antonym for implacable. "Implacable" means relentless so the best antonym is “yielding.” For clarification, "cruel," "merciless," "pitiless" and "callous" are all synonyms for implacable.

"Tedium" means extreme boredom and is an antonym of enthusiasm. So to solve this analogy you need to determine the best antonym for susceptible. "Susceptible" means vulnerable so the best antonym is “resistant.” For clarification, "callousness" means mercilessness; "notoriety" and "infamy" are synonyms that both describe being famous for the wrong reasons.

"Languid" means unenergetic so to solve this analogy you have to identify the best available antonym for miserly. "Miserly" means not generous so the best answer is “generous.” For clarification, "discreet" means sneaky; "cantankerous" means quick to anger, bad-tempered.

"Wanton" is a synonym for random as in “the wanton destruction caused by the hurricane.” So to solve this analogy you have to identify the best available answer choice for forceful. As "forceful" means strong, powerful and able to inflict ones will on another the correct answer is “vigorous.” For clarification, "weak" and "unimposing" are synonyms, as are "frightening" and "menacing." 

"Sinister" and "menacing" are synonyms that both describe the scary and ominous quality of something. So to solve this analogy you have to identify the best available synonym for effusive. "Effusive" means not restrained in expressing feelings, demonstrative and emotive. The correct answer is therefore “fulsome” which means excessively complimentary. For clarification, "frigid" describes something very cold; "forlorn" means very sad.

A "labyrinth" is another name for a maze. A quality of a maze or labyrinth is to be confusing so to solve this analogy you have to determine which of the answer choices is a quality of a rollercoaster. This should lead you to the correct answer which is “exhilarating” which means stimulating and exciting. For clarification, "mundane" and "tedious" both mean boring; "whimsical" and "quirky" both mean silly.

"Haughty" and conceited are synonyms that both mean proud and arrogant. So to solve this analogy you have to identify which of these answer choices is the best synonym for vain. Vain means useless or ineffective so the correct answer is “futile” which means useless effort. For clarification, to feel "nostalgic" means to positively remember the past; something that is "harrowing" is horrifying.

Ameliorate and improve are synonyms that both mean to make a situation better. So to solve this analogy you have to identify which of the answer choices is the best available synonym for cogent. "Cogent" means intelligently thought out and viable. For clarification, "implausible" is a synonym for unlikely; "catastrophic" means disastrous.

Nomenclature is a type of classification based on assigning names. So to solve this analogy you have to determine what calculus is a type of, this should lead you to the correct answer which is “mathematics.”