Verbal Analogy

 Impeccable means not having a flaw; infallible means not prone to committing error. 

Tepid is lukewarm - a milder, less intense version of hot. Similarly, pat is a light, gentle touch - a milder, less intense version of slap. The analogy is mild to strong intensity.

The relationship is action : person affected (confine : prisoner). Among options, detain : suspect best matches this pattern - to detain is to restrict a suspect's movement, just as to confine is to restrict a prisoner's movement. Trace:fugitive is action : person fleeing, ambush is a surprise attack not confinement, impeach is a political process not physical restriction.

Stapler is a part of the stationary while bullets are a part of armoury.
Hence, option 3 is correct.

Tadpole grows up to become frog; similarly, caterpillar grows up to become butterfly.
Hence, option 3 is correct.

The relationship is synonyms (abrupt : sudden both mean happening suddenly). Among options, accident : mishap are true synonyms - both refer to unexpected unfortunate events. Eminent:notorious are not synonyms (eminent means distinguished, notorious means famous for bad reasons). Pacify:provoke are antonyms, dearth:plenty are antonyms.

Odyssey is an epic poem in Greek. Similarly Utopia is a book in English.  Rest are all names of persons.... Tulsidas/ Monalisa and Dante.

The relationship is object : storage place (money : bank - money is stored in a bank). Among options, arrows : quiver best matches this - arrows are stored in a quiver. Fear:tremble is cause:effect, sound:music is raw material:form (sound makes music but not storage), coin:mint is production place (where coins are made, not stored).

The relationship is consecutive items with one gap (Tuesday : Thursday - Wednesday is between them). Among options, february : april best matches this - March is between February and April. Day:night are alternating, near:adjacent are synonyms, winter:spring are consecutive seasons (no gap).

The relationship is characteristic : what it prevents (elusive : capture - something elusive is hard to capture). Among options, headstrong : control best matches - someone headstrong resists control. Elastic:stretch is property:action, gullible:trick is vulnerability:action (closer but trick is what happens TO them, not what they resist), sensible:decide is attribute:action.

The relationship is person : entity they betray (traitor : country - a traitor betrays their country). Among options, apostate : religion best matches - an apostate abandons or betrays their religious faith. Potentate:kingdom is ruler:territory, bureaucrat:government is employee:system, tailor:law has no logical relationship.

Strong wind is gale. Same relationship is found in love: passion (passion is strong feeling of love). Disaster and calamity are synonyms.  Disgust and infatuation are antonyms and storm is rough weather at sea.

The relationship is antonyms (stable : erratic - opposite characteristics). Among options, puny : mammoth best match as antonyms - puny means very small, mammoth means huge. Beautiful:large are different attributes, compact:clumsy are different qualities, huge:untidy are different qualities (size vs neatness).

Whip is an instrument used to flay (skin/beat as punishment). Similarly, a chain is used to punish (restrain and discipline). The relationship is 'instrument : its purpose/action'. Option D (switch:chastise) is also valid, but chain:punish is the broader relationship.

Plagiarize means to use someone's work without permission (take without consent), while borrow implies taking with permission. The relationship is 'negative version (no consent) : neutral version (with consent)'. Similarly, extort means to obtain by force/threats (without consent), while obtain is neutral.

King wears a crown as a symbol of royal authority. Similarly, a priest wears a mitre (ceremonial headdress) as a symbol of religious authority. The relationship is 'person : symbol of their office'. Other options are people:tools they use, not ceremonial symbols.

Chatter means to talk rapidly and at length. Similarly, scurry means to move rapidly and hastily. The relationship is 'intense version of action : base action' where the first word is a more hurried/frequent version. Limp is impaired walking (not rapid), chant is rhythmic singing (not rapid).

A trailer is a promotional preview that comes before a full picture/movie. Similarly, a commercial is a promotional advertisement that comes before or features a product. The relationship is 'promotional piece : what it promotes'. Options A and C are parts of wholes, not promotional.

Puny means very small, while mammoth means huge. These are direct opposites showing size contrast. Similarly, stable means steady/firm, while unstable means unsteady/shaky. These are direct opposites showing the same contrast relationship. Options B and C are not antonyms.