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정연 · Digital SAT 응시 98문항 · 정답 66 · 오답 32 전체 120문항 (미응시 모듈 = 보너스 연습)
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S1·M1Reading & Writing — Module 114/27 정답
Q1Text Completion · Context Clue쉬움O

Scientists have used machine learning tools to study elephant sounds, uncovering a sophisticated communication system. The tools ______ unique patterns in the rumbling sounds elephants make. The scientists claim that these patterns are specific calls the elephants use for individuals, similar to names.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    created

  • B

    corrected

  • C

    detected

  • D

    scattered

💡 정답 확인
정답: C

내 답: C (정답)

유형: Text Completion · Context Clue · 난이도: 쉬움 · 소재: Biology

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Q2Vocab in ContextO

The following text is from Chinua Achebe’s 1964 novel Arrow of God. The novel is set in Nigeria in the 1920s. Ezeulu, who is the religious leader for several villages, announces when the annual yam harvest can begin.


Whenever Ezeulu considered the immensity of his power over the year and the crops and, therefore, over the people he wondered if it was real. It was true he named the day for the feast of the Pumpkin Leaves and for the New Yam feast; but he did not choose it. He was merely a watchman. His power was no more than the power of a child over a goat that was said to be his.

As used in the text, what does the word “considered” most nearly mean?

  • A

    Pondered

  • B

    Anticipated

  • C

    Allowed

  • D

    Respected

💡 정답 확인
정답: A

내 답: A (정답)

유형: Vocab in Context · 난이도: 중 · 소재: Literature

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Q3Text Completion · General : ElaborationX

Microplastics are a common pollutant in large masses of water like glaciers. High concentrations and ______ among particles—variations in size, shape, and material—make it onerous to comprehensively classify the microplastics in a water sample, so Ojeda-Benítez et al. are exploring a device to help quickly and accurately identify certain characteristics.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    restraints

  • B

    inconsistencies

  • C

    incompatibilities

  • D

    disruptions

💡 정답 확인
정답: B

내 답: C (오답)

유형: Text Completion · General : Elaboration · 난이도: 중 · 소재: Environmental Science

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Q4Vocab in ContextX

The following text is adapted from John Matheus’s 1925 short story “Fog.” 


The fog extended its tentacles over city and river, gradually obliterating traces of familiar landscapes. At five-thirty the old Panhandle bridge, supported by massive sandstone pillars, stalwart, as when erected fifty years before to serve a generation now passed behind the portals of life, had become a spectral outline against the sky.

As used in the text, what does the word “traces” most nearly mean?

  • A

    Debris

  • B

    Copies

  • C

    Indications

  • D

    Remembrances

💡 정답 확인
정답: C

내 답: D (오답)

유형: Vocab in Context · 난이도: 중 · 소재: Literature

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Q5PurposeO

Understanding juvenile sea turtles’ migratory patterns is crucial for conservation efforts. While adult sea turtles are well studied, little is known about juveniles during their oceanic stage, when they spend most of their time in the open ocean. To learn about this stage, researchers tagged and released six juvenile green sea turtles (Chelonia mydas) into the eastern Caribbean Sea. Their findings revealed that the majority of the turtles passively drifted with ocean currents throughout the region. However, two individuals swam against the currents, possibly in search of foraging grounds off the coast of South America.

Which choice best states the main purpose of the text?

  • A

    To summarize research on an understudied stage of sea turtle development

  • B

    To suggest reasons why some juvenile sea turtles swim against the ocean currents

  • C

    To compare the behavior of adult and juvenile sea turtles during migration

  • D

    To describe successful conservation efforts for sea turtles

💡 정답 확인
정답: A

내 답: A (정답)

유형: Purpose · 난이도: 중 · 소재: Environmental Science

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Q6FunctionO

Adult glass eels can be found off the coast of Maine, but the eels begin their lives in the Sargasso Sea, a biodiverse area in the North Atlantic Ocean where they are born and later return to breed. Though biologists believe they have identified the general area in the Sargasso Sea that is crucial to the endangered eels’ survival, little is yet known about how the animals spawn there. Scientists believe that solving the mystery will lead to better conservation of glass eels and their habitat, helping in turn to sustain several other species that rely on them as a food source.

Which choice best describes the function of the underlined portion in the text as a whole?

  • A

    It presents a finding from a study that identifies the circumstances required to ensure the survival of glass eels.

  • B

    It suggests that scientists are more concerned about other species than about glass eels’ habitat.

  • C

    It indicates that the benefit of understanding glass eels’ spawning behavior extends beyond the eels.

  • D

    It discusses a role that glass eels and other species serve in supporting the ecosystem of the Sargasso Sea.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Function · 난이도: 중 · 소재: Biology

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Q7StructureX

Tomi Adeyemi’s first published work, the inventive West African–inspired fantasy novel Children of Blood and Bone, has intriguing things to say about the relationship between identity and power. Adeyemi works in a decades-long tradition going back to writers such as Samuel Delany and Octavia Butler, who wove cultural elements of the Black diaspora into their science fiction and fantasy in a movement known as Afrofuturism. At its core, the movement is characterized by speculation, not just about distant futures or other planets but also about alternate versions of our shared past. Afrofuturism’s meditations on authority reinvigorate the creative potential of fiction.

Which choice best describes the overall structure of the text?

  • A

    It notes the political stance of an author, compares that author’s book to other earlier works, and then analyzes the influence of political events on the book.

  • B

    It praises a newly published author, compares that author with others who might appear superficially similar, and then points out the features of that author’s work that make it unique.

  • C

    It introduces an intriguing debut work, contextualizes that work as part of an ongoing literary tradition, and then describes important themes of that tradition.

  • D

    It summarizes a book, describes characteristics of the artistic movement of which the book is a part, and then points out the features the book shares with more widely read works.

💡 정답 확인
정답: C

내 답: B (오답)

유형: Structure · 난이도: 중 · 소재: Literature

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Q8Direct ComprehensionO

Blue holes, such as Watling’s Blue Hole near San Salvador Island, are large marine sinkholes. They are typically located in areas where the ocean bedrock is made of soluble material (e.g., marble) because rock erosion is crucial to their formation. Because of the diverse marine life they contain, blue holes attract numerous divers and scientists. Currently, the Taam Ja’ Blue Hole in Chetumal Bay, Mexico, is the deepest blue hole on record, measured by Teresa Álvarez-Legorreta and colleagues to be at least 420 meters below sea level.

According to the text, what draws divers and scientists to blue holes such as Watling’s Blue Hole and the Taam Ja’ Blue Hole?

  • A

    A hope to encounter a variety of marine organisms

  • B

    A desire to witness the erosion of the rocks in the blue holes

  • C

    A commitment to protecting the marble and other soluble materials in the blue holes

  • D

    An interest in comparing the depths of Watling’s Blue Hole and the Taam Ja’ Blue Hole to the depths of other blue holes

💡 정답 확인
정답: A

내 답: A (정답)

유형: Direct Comprehension · 난이도: 중 · 소재: Environmental Science

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Q9Direct ComprehensionX

In a 2024 study, Corrine Walsh and colleagues examined whether the composition of soil microbial communities could affect plants’ flavor chemistry. Whereas Baslam et al. (2011) showed that adding specific bacterial or fungal strains to soil can yield increased flavonoid content in spinach crops, Walsh and team applied intact microbial communities gathered from ecologically distinct settings across Colorado, including areas of ponderosa pine forest and irrigated pasture, to mustard plants and evaluated the flavor compounds in the plants’ seeds. This ensured that the microbial conditions in their experiment would better reflect the variation and complexity of naturally occurring communities.

Based on the text, what is the most likely reason Walsh and colleagues chose to avoid the method used in the spinach study?

  • A

    The composition of microorganisms in the soil in the spinach study may not have been representative of a naturally existing composition.

  • B

    The microbial community in the soil from the spinach study affected plants’ nutrition, not their flavor chemistry. 

  • C

    The microbial community in the soil from the spinach study likely included similar species to those in wild soils.

  • D

    The diversity of species of microorganisms in the soil from the spinach study was already abnormally high before the researchers added further microorganisms.

💡 정답 확인
정답: A

내 답: B (오답)

유형: Direct Comprehension · 난이도: 중 · 소재: Biology

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Q10Graph / Table · TableO
passage figure

A student is writing a paper on the global rise of the home video game industry during the 1980s. The student is researching the relative popularity of various genres of console and computer games. Looking at the information in the table, the student finds that the games in the genres of ______

Which choice most effectively uses data from the table to complete the statement?

  • A

    puzzle and sports sold nearly the same number of units.

  • B

    platformer and education sold nearly the same number of units.

  • C

    puzzle and platformer outsold the games in the other genres.

  • D

    platformer and sports outsold the games in the other genres.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Graph / Table · Table · 난이도: 중 · 소재: Misc

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Q11Graph / Table · GraphO
passage figure

Wenhao Xu and colleagues demonstrated that applying a low direct current electrical field to graphite (a conductor) and an acrylamide (AAm) gel can increase how strongly materials adhere to each other. At some voltages, adhesion strength—as measured in kilopascals (kPa) of stress needed to pull the materials apart—was high (more than 30 kPa). But the mere application of a direct current electrical field with positive voltage is not sufficient to cause increased adhesion, as evidenced by the fact that ______

Which choice most effectively uses data from the graph to complete the statement?

  • A

    at 0 V, mean adhesion strength was equal to 0 kPa.

  • B

    at 3 V, mean adhesion strength reached its highest observed level at approximately 30 kPa.

  • C

    at 2 V, mean adhesion strength was lower than it was at both 1 V and 3 V.

  • D

    at 1 V, mean adhesion strength was approximately equal to adhesion strength at 0 V.

💡 정답 확인
정답: D

내 답: D (정답)

유형: Graph / Table · Graph · 난이도: 중 · 소재: Physics

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Q12Command of Evidence · QuotationO

The Wonderful Wizard of Oz is a 1900 novel by L. Frank Baum. In the novel, Dorothy, who is from Kansas, finds herself in an unfamiliar place called Oz. Kansas is presented as being less appealing than Oz, as is clear when _______

Which quotation from The Wonderful Wizard of Oz most effectively illustrates the claim?

  • A

    a character says to Dorothy, "I cannot understand why you should wish to leave this beautiful country and go back to the dry, gray place you call Kansas."

  • B

    a character says to others, "But it will take more than imagination to carry Dorothy back to Kansas, and I'm sure I don't know how it can be done."

  • C

    the narrator states, "Dorothy did not feel nearly so bad as you might think a little girl would who had been suddenly whisked away from her own country and set down in the midst of a strange land."

  • D

    the narrator states, "Before them was a great stretch of country having a floor as smooth and shining and white as the bottom of a great platter.”

💡 정답 확인
정답: A

내 답: A (정답)

유형: Command of Evidence · Quotation · 난이도: 중 · 소재: Literature

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Q13Direct ComprehensionX

Quality assessments of concrete typically focus almost exclusively on compressive strength as a measure of durability, overlooking other potentially relevant factors. Lisa Ptacek et al. therefore investigated the potential of gas permeability (vulnerability to incursion by gases), which is caused in part by excessive porosity, as a durability indicator. Their measurements and observations revealed that quality of conditions during the concrete curing phase negatively correlates with gas permeability and that high gas permeability values are associated with increased deterioration as concrete surfaces age.

Information in the text best supports which statement about Ptacek et al.'s findings?

  • A

    They suggest that gas permeability testing presents a more reliable indication of concrete durability than compressive strength testing does.

  • B

    They bolster the claim that concrete's susceptibility to damage decreases as its gas permeability increases.

  • C

    They call into question the idea that quality of curing conditions directly affects concrete gas permeability but is unrelated to compressive strength.

  • D

    They indicate that evaluation of gas permeability is an appropriate addition to concrete quality assessment procedures.

💡 정답 확인
정답: D

내 답: B (오답)

유형: Direct Comprehension · 난이도: 중 · 소재: Chemistry

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Q14Inference · SyllogismX

Studies have shown that when we listen to high-tempo music (songs with a high number of beats per minute, or bpm) during endurance exercise, we perceive our effort as lower than it actually is, which leads to an increased pace and a higher heart rate. Researchers recently designed a follow-up study in which participants jogged outdoors for 30 minutes while listening to Aerosmith's "Livin' on the Edge" (169 bpm) continuously. The next day, participants performed the same activity while listening to Ella Fitzgerald's "From This Moment On" (93 bpm). As expected, listening to that song resulted in participants _______

Which choice most logically completes the text?

  • A

    perceiving their effort as lower while jogging than they had the previous day.

  • B

    varying their jogging pace more than they had the previous day.

  • C

    exhibiting a higher average heart rate while jogging than they had the previous day.

  • D

    jogging a shorter distance in 30 minutes than they had the previous day.

💡 정답 확인
정답: D

내 답: A (오답)

유형: Inference · Syllogism · 난이도: 중 · 소재: Biology

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Q15Verb Tense쉬움X

Jesse Treviño’s 1976 painting Mis Hermanos was featured in the Smithsonian’s 2013 exhibition Our America: The Latino Presence in American Art. The piece ______ chosen for the exhibition by curator E. Carmen Ramos.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    is

  • B

    had been

  • C

    will be

  • D

    is being

💡 정답 확인
정답: B

내 답: A (오답)

유형: Verb Tense · 난이도: 쉬움 · 소재: Art / Music

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Q16PunctuationX

Mia Heavener’s 2019 novel Under Nushagak Bluff, which takes place in a mid-twentieth century rural Alaskan fishing ______ the story of three Yup’ik women who grapple with the rise of commercial fisheries and other changes affecting their community.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    village: tells

  • B

    village. Tells

  • C

    village, tells

  • D

    village tells

💡 정답 확인
정답: D

내 답: B (오답)

유형: Punctuation · 난이도: 중 · 소재: Literature

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Q17PunctuationO

Many works of the Greek historian Strabo (1st century BCE) are ______ his Geographica, a descriptive history of the ancient world, is an extant work: it can still be read.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    lost. Conversely,

  • B

    lost and conversely,

  • C

    lost, conversely,

  • D

    lost, and conversely

💡 정답 확인
정답: A

내 답: A (정답)

유형: Punctuation · 난이도: 중 · 소재: Archaeology

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Q18Subject-Verb Disagreement · Interrupting phrases쉬움O

Enacted in 1944, Iceland’s 4,089-word constitution, in contrast to Spain’s, which was enacted in 1978 and contains a far greater number (17,608) of words, ______ as the 2nd shortest in the world. Such data are studied by constitutional scholars like George Tsebelis, who can use them to draw broader conclusions.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    have ranked

  • B

    rank

  • C

    are ranking

  • D

    ranks

💡 정답 확인
정답: D

내 답: D (정답)

유형: Subject-Verb Disagreement · Interrupting phrases · 난이도: 쉬움 · 소재: linguistics

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Q19Pronoun disagreement · NumbersX

Museo Casa Canales, a history museum in Jayuya, Puerto Rico, is one of more than eighty museums in the US territory. These museums present a wide range of information about Puerto Rico, showcasing everything from the territory’s history to ______ architecture to its coffee.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    its

  • B

    they're

  • C

    their

  • D

    it's

💡 정답 확인
정답: A

내 답: C (오답)

유형: Pronoun disagreement · Numbers · 난이도: 중 · 소재: History

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Q20Dangling Modifier어려움X

Recordings of electrical activity in the brain, ______ increased activity in brain areas associated with suppressing motor functions. 

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    electrograms show that while responding to hypothetical match scenarios, the most highly skilled soccer players have

  • B

    hypothetical match scenario responses show that the most highly skilled soccer players captured in electrograms have

  • C

    the most highly skilled soccer players responding to hypothetical match scenarios have electrograms that show

  • D

    responses to hypothetical match scenarios show that the most highly skilled soccer players have electrograms with

💡 정답 확인
정답: A

내 답: B (오답)

유형: Dangling Modifier · 난이도: 어려움 · 소재: Psychology and Neuroscience

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Q21Punctuation쉬움O

As an archaeologist, Dr. Rubén G. ______ studies historical locations all across the US Southwest and Mesoamerica, a region that includes ancient Maya sites like Ekʼ Balam in Mexico.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    Mendoza;

  • B

    Mendoza

  • C

    Mendoza,

  • D

    Mendoza:

💡 정답 확인
정답: B

내 답: B (정답)

유형: Punctuation · 난이도: 쉬움 · 소재: Archaeology

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Q22Fragment and Run-onX

On January 11, 1996, the space shuttle Endeavour blasted off into space, commencing Mission ______ eight days and twenty-two hours, the mission ended when the shuttle landed at Kennedy Space Center in Florida.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    STS-72. Lasting

  • B

    STS-72, lasting

  • C

    STS-72 lasting

  • D

    STS-72, it lasted

💡 정답 확인
정답: A

내 답: B (오답)

유형: Fragment and Run-on · 난이도: 중 · 소재: Astronomy

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Q23Transition쉬움O

While some researchers have identified the planet Kepler-296e as potentially habitable, it’s unlikely that humanity will be able to take advantage of its favorable conditions anytime soon —it’s 737 light-years away. ______ humanity must first focus on making planets within our solar system more habitable.

Which choice completes the text with the most logical transition?

  • A

    Likewise,

  • B

    Instead,

  • C

    For example,

  • D

    Next,

💡 정답 확인
정답: B

내 답: B (정답)

유형: Transition · 난이도: 쉬움 · 소재: Astronomy

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Q24Transition쉬움O

The Tres Zapotes archaeological site is located in our home state of Veracruz, Mexico. ______ an 8.5-ton stone statue of a human head was left behind by the ancient Olmec civilization. In the nearby state of Tabasco was another stone statue that weighs 19.8 tons.

Which choice completes the text with the most logical transition?

  • A

    In other words,

  • B

    Here,

  • C

    Similarly,

  • D

    Therefore,

💡 정답 확인
정답: B

내 답: B (정답)

유형: Transition · 난이도: 쉬움 · 소재: Archaeology

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Q25TransitionX

In a 1948 article titled “The Language of Lines,” Brazilian photographer José Yalenti argued that black-and-white photography’s distinctive—and in his view, superior—use of lines is what elevates the medium to the status of fine art. ______ Yalenti insisted that conveying perspective through linear forms is photography’s “indisputable and exclusive domain,” creating a visual language surpassing even celebrated painters’ works.

Which choice completes the text with the most logical transition?

  • A

    Indeed,

  • B

    In any case,

  • C

    However,

  • D

    Even so,

💡 정답 확인
정답: A

내 답: D (오답)

유형: Transition · 난이도: 중 · 소재: Art / Music

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Q26Summary Notes쉬움O

While researching a topic, a student has taken the following notes: 

  • A merchant ship is any ship hired to carry cargo or passengers. 
  • A ship’s carrying capacity is also known as its deadweight tonnage (DWT). 
  • In 2021, there were a total of 1,323 merchant ships registered in the Bahamas. 
  • The combined DWT of these ships was 74.3 million tons.

The student wants to emphasize the combined deadweight tonnage of the Bahamas’ merchant ships in 2021. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  • A

    The carrying capacity of a merchant ship is also known as deadweight tonnage.

  • B

    In 2021, the Bahamas had 1,323 merchant ships hired to carry cargo or passengers.

  • C

    Combined, the Bahamas’ merchant ships had a deadweight tonnage of 74.3 million tons in 2021.

  • D

    There were a total of 1,323 merchant ships—ships hired to carry cargo or passengers— registered in the Bahamas in 2021.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Summary Notes · 난이도: 쉬움 · 소재: Engineering / Technology

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Q27Summary NotesX

While researching a topic, a student has taken the following notes: 

  • A nonnative species is considered invasive if it causes environmental or economic harm in an ecosystem. 
  • Multiflora rose is a species of shrub native to East Asia. 
  • It can also be found in the midwestern and eastern US. 
  • There, it forms dense thickets and invades pastures. It is considered an invasive species in the US.

The student wants to indicate one or more regions where multiflora rose is causing environmental or economic harm. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  • A

    Multiflora rose can be found in the midwestern and eastern US, where it forms dense thickets and invades pastures.

  • B

    Multiflora rose is considered invasive because it forms dense thickets and invades pastures, causing environmental harm.

  • C

    Multiflora rose, a shrub native to East Asia, is considered an invasive species.

  • D

    Multiflora rose is native to the midwestern and eastern US, but elsewhere it causes environmental or economic harm.

💡 정답 확인
정답: A

내 답: D (오답)

유형: Summary Notes · 난이도: 중 · 소재: Environmental Science

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S1·M2Reading & Writing — Module 2 (Easy)10/27 정답
Q1Text Completion · General : ElaborationX

In the search for new impact craters on Mars, the roles of seismic monitoring and orbital imaging as data sources are ______: when vibrations detected with seismic monitoring indicate roughly where an impact has occurred, researchers can use orbital images of that relatively limited area of the rocky surface to precisely locate a new crater.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    redundant

  • B

    exhaustive

  • C

    complementary

  • D

    interchangeable

💡 정답 확인
정답: C

내 답: D (오답)

유형: Text Completion · General : Elaboration · 난이도: 중 · 소재: Astronomy

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Q2Text Completion · Contrast어려움X

______ the mythological and heroic subject matter often found in works by Horace Vernet and other establishment figures, Honoré Daumier’s painting The Third-Class Carriage instead focuses on something decidedly mundane: working-class travelers in a third-class railway car.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    Eschewing

  • B

    Expounding

  • C

    Caricaturing

  • D

    Appraising

💡 정답 확인
정답: A

내 답: B (오답)

유형: Text Completion · Contrast · 난이도: 어려움 · 소재: Art / Music

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Q3Text Completion · ContrastO

If some specific predictions in Alvin Toffler’s 1970 book Future Shock seem ludicrous now—people do not wear paper clothing while living in underwater cities—Toffler’s fundamental claim that rapid technological and social change will leave people feeling disoriented and atomized seems, in our age of disequilibrium and fragmentation, remarkably ______.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    prescient

  • B

    articulate

  • C

    iconoclastic

  • D

    equivocal

💡 정답 확인
정답: A

내 답: A (정답)

유형: Text Completion · Contrast · 난이도: 중 · 소재: Engineering / Technology

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Q4Text Completion · Context Clue어려움X

A conclusive demonstration of the logical certainty of the honeycomb conjecture, posed in the first century BCE, ______ mathematicians’ efforts until Thomas C. Hales presented the first valid proof of the conjecture in 1999.

Which choice completes the text with the most logical and precise word or phrase?

  • A

    defied

  • B

    prefigured

  • C

    epitomized

  • D

    displaced

💡 정답 확인
정답: A

내 답: B (오답)

유형: Text Completion · Context Clue · 난이도: 어려움 · 소재: Philosophy

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Q5StructureO

Establishing protected areas (PAs), such as Abrolhos Marine Park in Brazil, is a common conservation strategy, but because PAs restrict some kinds of economic activity, it’s widely thought that they hinder economic development. This perception is driven in part by the fact that economic assessments often don’t capture the indirect effects of tourism linked to PAs. But Heng Zhu et al. found that tourism associated with Abrolhos boosts local demand for goods and services in other economic sectors, resulting in, for instance, increased income from fishing in nearby areas.

Which choice best describes the overall structure of the text?

  • A

    It states a hypothesis that accounts for why PAs generally negatively impact local economies, outlines how a research team’s findings support that hypothesis, and then suggests how a novel methodology led a separate team of researchers to a different conclusion.

  • B

    It makes a generalization about the difficulty of using PAs to reconcile economic and conservation priorities, demonstrates why most PAs fall short of achieving that goal, and then holds up a particular PA as an example of how that goal can be achieved.

  • C

    It introduces a widely held belief about the effect PAs have on the economy, proposes a reason for that belief’s prevalence, and then details a study whose findings seemingly conflict with that belief.

  • D

    It explains how PAs typically affect economic development in the regions where they are established, summarizes the findings of several economic studies that support this explanation, and then concedes that a particular PA is an exception to the general trend.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Structure · 난이도: 중 · 소재: Business and Economics

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Q6FunctionX

Most Native languages belong to language families, or groups of languages whose structural and lexical correspondence likely derives from their descent from a single language spoken long ago. A minority—such as Washoe, which is spoken in California and Nevada, and Chitimacha, which is spoken in Louisiana—are isolates, having no demonstrable genealogical relationship to other languages. Yet Washoe and Chitimacha, like all isolates, are potentially remnants of families whose other members vanished before the historical record could attest to them, perhaps through the geographical expansion of extant families.

Which choice best describes the function of the underlined sentence in the text as a whole?

  • A

    It implies that a non-isolate language may have influenced both Washoe and Chitimacha to such a degree that their relationship to their former families is no longer discernible.

  • B

    It suggests that the ancestral languages of both Washoe and Chitimacha were likely isolates that replaced non-isolate languages through geographic expansion in the distant past.

  • C

    It asserts that the historical record tends to overrepresent non-isolate languages relative to isolates, such that the origins of Washoe and Chitimacha are obscure to scholars in the present day.

  • D

    It proposes that the distinction made between present-day non-isolate languages and isolates like Washoe and Chitimacha may not have been applicable in the distant past.

💡 정답 확인
정답: D

내 답: C (오답)

유형: Function · 난이도: 중 · 소재: linguistics

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Q7Cross-TextO

Text 1

Good art often challenges and disrupts social and aesthetic norms, but the creation of public art—paintings, sculptures, and performance pieces displayed in non-museum or nontheatrical public settings—typically requires broad agreement among artists, civic officials, and community members about the works’ message and artistic goals. Public art that fails to appease everyone by being sufficiently aesthetically and conceptually bland almost inevitably provokes backlash.


Text 2

Public art is commonly displayed in spaces intended for purposes other than meaningful aesthetic engagement. Some critics of public art therefore note that norm-defying pieces that aren’t effectively integrated within their surroundings in a manner that primes passersby to appreciate the pieces’ merits (as is often the case) tend to be regarded more unfavorably than similarly provocative art encountered in museums is.

Based on the texts, how would the critics mentioned in Text 2 most likely respond to the underlined claim in Text 1?

  • A

    By disputing the notion that civic leaders and community members are easily placated by art that is intended mainly to reinforce social norms

  • B

    By agreeing with the idea that only works of art that are universally appealing are suitable for displaying in public spaces

  • C

    By arguing that the reason members of the general public might disagree about a public artwork’s merits is unrelated to the unconventionality of its appearance and ideas

  • D

    By contending that the kinds of reactions controversial public artworks often receive aren’t exclusively the result of attributes inherent in the works themselves

💡 정답 확인
정답: D

내 답: D (정답)

유형: Cross-Text · 난이도: 중 · 소재: Art / Music

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Q8Direct ComprehensionX

The following text is adapted from Mark Twain’s 1876 novel The Adventures of Tom Sawyer. Aunt Polly is having dinner with Tom, her mischievous young nephew.

Aunt Polly asked [Tom] questions that were full of guile, and very deep—for she wanted to trap him into damaging revealments. Like many other simple-hearted souls, it was her pet vanity to believe she was endowed with a talent for dark and mysterious diplomacy, and she loved to contemplate her most transparent devices as marvels of low cunning.

Which choice best describes how Aunt Polly is presented in the text?

  • A

    The narrator gently makes fun of Aunt Polly’s mistaken confidence in her subtlety.

  • B

    The narrator humorously exaggerates Aunt Polly’s view of herself as an intellectual.

  • C

    The narrator characterizes Aunt Polly as being excessively nosy about other people’s private lives.

  • D

    The narrator emphasizes that Aunt Polly’s intentions are good even when she behaves impolitely.

💡 정답 확인
정답: A

내 답: C (오답)

유형: Direct Comprehension · 난이도: 중 · 소재: Literature

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Q9Direct ComprehensionX

From petroleum refining to fuel for residential heating, hydrogen has many applications. Currently, producing hydrogen is carbon intensive, but Alexandra M. Oliveira is one of many scholars investigating the feasibility of large-scale production of hydrogen through electrolysis, a process that emits no carbon when renewable energy is used. Oliveira suggests that although some obstacles may prevent electrolytic hydrogen from dominating energy systems, there is utility in its ability to decarbonize the petroleum and heating industries, where reducing carbon emissions is especially challenging.

Which statement about the use of hydrogen in the petroleum and heating industries is most strongly supported by the text?

  • A

    The adoption of electrolytic hydrogen by these industries has been impeded by concerns about how carbon intensive its production is.

  • B

    Development of applications for electrolytic hydrogen is less advanced in these industries than it is in most other carbon-intensive industries.

  • C

    At least some of electrolytic hydrogen’s potential to lessen these industries’ carbon emissions is as yet unrealized.

  • D

    The fact that large-scale electrolytic hydrogen production is not yet available has limited these industries’ interest in pursuing hydrogen-based applications.

💡 정답 확인
정답: C

내 답: B (오답)

유형: Direct Comprehension · 난이도: 중 · 소재: Chemistry

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Q10Command of Evidence · If trueX

In subtropical Asia, Apis dorsata (giant honeybee) plays an essential role in pollinating a wide variety of crops and wild plants. To study how different agricultural land covers affect the species, Rika Raffiudin and colleagues monitored the foraging activity of the bees as well as the pollen content of the honey from A. dorsata colonies at two sites in Indonesia: Kampar, characterized by its surrounding monoculture farms (growing a single crop), and Kerinci, a forest-agriculture site where multiple crops, including hot peppers and coffee, are grown nearby. The researchers concluded that a lack of crop variety may reduce total pollen collection by A. dorsata.

Which finding, if true, would most directly support the researchers’ conclusion?

  • A

    Significantly fewer bees were observed engaging in foraging activities with the crops surrounding Kerinci than with the crops surrounding Kampar.

  • B

    Honey samples from Kerinci bee colonies contained significantly higher concentrations of pollen than honey samples from Kampar bee colonies did.

  • C

    Pollen in honey samples from Kampar bee colonies was predominantly sourced from a single plant species, whereas pollen in honey samples from Kerinci bee colonies was sourced from multiple different plant species.

  • D

    In one Kerinci bee colony, a greater proportion of bees returned to their nests with pollen than returned without pollen, whereas the inverse was observed in a second Kerinci bee colony.

💡 정답 확인
정답: B

내 답: C (오답)

유형: Command of Evidence · If true · 난이도: 중 · 소재: Biology

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Q11Command of Evidence · Quotation어려움X

Richard II is a play from the 1590s by William Shakespeare. Although King Richard has been vanquished by his cousin Henry Bolingbroke, he intimates that he is not entirely ready to show subservience to his cousin, saying, ______

Which quotation from Richard II most effectively illustrates the claim?

  • A

    “Am I both priest and clerk? Well then, amen. / God save the King! although I be not he; / And yet, amen, if heaven do think him me."

  • B

    “I have no name, no title,— / No, not that name was given me at the font,— / But ’tis usurp’d:— Alack the heavy day, / That I have worn so many winters out, / And know not now what name to call myself!”

  • C

    “Still my griefs are mine. / You may my glories and my state depose, / But not my griefs; still am I king of those.”

  • D

    “Alack, why am I sent for to a king, / Before I have shook off the regal thoughts / Wherewith I reign’d? I hardly yet have learn’d / To insinuate, flatter, bow, and bend my knee.”

💡 정답 확인
정답: D

내 답: B (오답)

유형: Command of Evidence · Quotation · 난이도: 어려움 · 소재: Literature

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Q12Command of Evidence · Quotation어려움X

Scholars cite Men of Maize, the 1949 novel by Guatemalan author Miguel Ángel Asturias, as a foundational text of magical realism, the Latin American style of fiction in which antirealistic plot devices—often borrowed from the spiritual and narrative traditions of Indigenous and colonial societies in the Americas—are deployed in an otherwise realistic mode of representation typical of the modern novel. This style has exerted a decisive influence on authors in the United States, including Susan Power, whose 1994 novel The Grass Dancer resembles classic magical realist novels in its juxtaposition of literary realism with long-established cultural traditions—namely, those of the Dakota people of the northern plains.

Which quotation from a literary scholar would most directly support the claim in the underlined portion of the text?

  • A

    “The cultural traditions of the Dakota people of the northern plains, which figure so prominently in the magical realist tradition of Latin America, permit realistic as well as antirealistic scenarios—much as The Grass Dancer does.”

  • B

    “Although much of The Grass Dancer conforms to the conventions of realistic fiction, Susan Power also incorporates elements drawn from Dakota cultural traditions that transcend and expose the limitations of realism.”

  • C

    “Even though The Grass Dancer alternates between realistic and antirealistic modes of representation, the influence of Dakota cultural traditions remains constant throughout the novel.”

  • D

    “Much of the interest of The Grass Dancer derives from the productive tension between its competing influences—namely, Dakota cultural traditions and the magical realism of Latin America.”

💡 정답 확인
정답: B

내 답: A (오답)

유형: Command of Evidence · Quotation · 난이도: 어려움 · 소재: Literature

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Q13Inference · Syllogism어려움X

While mammals collectively exhibit the highest ratio of brain size to body size among vertebrates, a team led by paleontologist Ornella Bertrand demonstrates that for ten million years following the extinction of dinosaurs, that ratio in fact shrank for mammals as they evolved to fill newly vacated ecological niches and their bodies increased in size more rapidly than their brains. Competition for resources tends to favor intelligence and thus large, complex brains, but during this period, the abundance of resources relative to mammalian population numbers likely moderated competition and facilitated an increase in body size. Bertrand and her team reason that as population numbers swelled, competition intensified, creating conditions that ______

Which choice most logically completes the text?

  • A

    favored an evolutionary increase in brain size relative to body size among mammals. 

  • B

    restricted resources so drastically that mammals struggled to secure enough food to maintain large brain sizes.

  • C

    encouraged mammals with large brain sizes to adapt to a range of ecological niches.

  • D

    heightened the advantage that large body size conferred on mammals in certain ecological niches.

💡 정답 확인
정답: A

내 답: B (오답)

유형: Inference · Syllogism · 난이도: 어려움 · 소재: Biology

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Q14Inference · Syllogism어려움X

In an analysis of medieval urbanization in York, Bautzen, and other European settlements, researchers drew on modern urban scaling theory, which posits that population density in core urban areas increases as a city grows larger. Hypothesizing that this typical relationship would have differed in medieval settlements because of the constraining influence of strong hierarchical social structures (which are much less pronounced in modern cities) on social networking and economic integration—drivers of urban agglomeration—the team created a model that accounted for the presence of restrictive institutions. They found that the typically expected density–size relationship held for each of the 173 medieval settlements whose growth they analyzed, suggesting ______

Which choice most logically completes the text?

  • A

    the social and economic dynamics that affect urban agglomeration were likely much different in medieval settlements than in modern cities, despite the similarity across time in population density patterns.

  • B

    although there tends to be a positive relationship between population size and development of core urban areas for both medieval settlements and modern cities, social institutions likely limited the rate at which population density increased in medieval settlements.

  • C

    despite a change in the role of social structures over time, there is likely a notable consistency between medieval settlements and modern cities in underlying elements of the social and economic interactions that shape the development of core urban areas.

  • D

    the constraining influence of hierarchical medieval institutions likely had a significant effect on individuals in some social groupings but little to no effect on members of other social groupings.

💡 정답 확인
정답: C

내 답: B (오답)

유형: Inference · Syllogism · 난이도: 어려움 · 소재: Sociology

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Q15Fragment and Run-onX

Painter Georgette _______ for incorporating everyday objects from her Singaporean environment—such as lanterns, mooncakes, and tropical fruits—into her still-life compositions, was a pivotal figure in the mid-twentieth-century Nanyang art movement, which sought to blend European painting traditions (including still life) with elements of Southeast Asian cultures and art.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    Chen, was known

  • B

    Chen, known

  • C

    Chen was known

  • D

    Chen is known

💡 정답 확인
정답: B

내 답: C (오답)

유형: Fragment and Run-on · 난이도: 중 · 소재: Art / Music

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Q16PunctuationO

Astronomers Annie and Edward Maunder meticulously studied historical records of dark areas on the sun’s surface known as sunspots. Their work in the late 1800s led to the identification of a period from 1645 to 1715—now known as the Maunder ______ sunspots were notably scarce, a phenomenon that solar physicists continue to investigate.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    Minimum—when

  • B

    Minimum when

  • C

    Minimum: when

  • D

    Minimum, when

💡 정답 확인
정답: A

내 답: A (정답)

유형: Punctuation · 난이도: 중 · 소재: Astronomy

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Q17Fragment and Run-on어려움X

Los Angeles–based artist Henry Taylor's large, vibrant paintings of prominent Black figures such as Olympian Alice Coachman (See Alice Jump, 2011) and artist David Hammons (Hammons meets a hyena on holiday, _______ celebrated by admirers of twenty-first-century portraiture, attracted legions of new fans in 2024 when they were included in a popular Taylor retrospective at the Whitney Museum.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    2016), long

  • B

    2016) were long

  • C

    2016) have long been

  • D

    2016), had long been

💡 정답 확인
정답: A

내 답: C (오답)

유형: Fragment and Run-on · 난이도: 어려움 · 소재: Art / Music

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Q18Fragment and Run-on어려움X

Among the small magazines animating London's vibrant literary scene in the early twentieth century was _______ by Wyndham Lewis and featuring artwork by Edward Wadsworth, Frederick Etchells, and Jacob Epstein; fiction by Rebecca West and Ford Madox Ford; and a manifesto penned by Lewis, this magazine publicized the work of influential avant-garde writers and artists of the day.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    Blast, edited

  • B

    Blast. Edited

  • C

    Blast edited

  • D

    Blast; edited

💡 정답 확인
정답: B

내 답: A (오답)

유형: Fragment and Run-on · 난이도: 어려움 · 소재: Literature

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Q19Verb vs. VerbalX

Reena Esmail's classical composition "Summitless Mountains" incorporates a raag, a melodic framework used in Hindustani classical music, called Raag Chandrakauns. Often, interplay between the raag's designated vadi and samvadi (the first- and second-most important notes, respectively) and its prescribed melodic sequences _______ an unsettled mood.

Which choice completes the text so that it conforms to the conventions of Standard English?

  • A

    have evoked

  • B

    evoke

  • C

    evokes

  • D

    evoking

💡 정답 확인
정답: C

내 답: D (오답)

유형: Verb vs. Verbal · 난이도: 중 · 소재: Art / Music

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Q20TransitionO

As anthropologist Cristina Grasseni explains, many artisanal cheeses in Italy, such as Provolone Valpadana from Trentino-Alto Adige and Ragusano from Sicily, are highly valued for their regional authenticity; ______ they are prized for being made using local ingredients and methods typical of their respective geographic regions.

Which choice completes the text with the most logical transition?

  • A

    that is,

  • B

    still,

  • C

    rather,

  • D

    then,

💡 정답 확인
정답: A

내 답: A (정답)

유형: Transition · 난이도: 중 · 소재: Anthropology

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Q21TransitionX

The early Australian railroad system of the 1800s was famously uncoordinated. Trains on the broad gauge Victorian Goldfields Railway line in Victoria couldn’t travel on the Hotham Valley Railway in Western Australia, which used narrow gauge tracks, without performing time-consuming conversions. ______ historians refer to this complicated system as the “mixed gauge muddle.”

Which choice completes the text with the most logical transition?

  • A

    Rather,

  • B

    Hence,

  • C

    For example,

  • D

    Likewise,

💡 정답 확인
정답: B

내 답: C (오답)

유형: Transition · 난이도: 중 · 소재: Misc

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Q22TransitionO

When ordering the branches of the Yukon River system, cartographers tend to begin with the riverway’s lowest point, the Yukon River. ______ hydrologists begin at the top of the river system, with the Iditarod River and other tributaries fed by the riverway’s source, Alaska’s Llewellyn Glacier.

Which choice completes the text with the most logical transition?

  • A

    In a similar way,

  • B

    By contrast,

  • C

    For example,

  • D

    In other words,

💡 정답 확인
정답: B

내 답: B (정답)

유형: Transition · 난이도: 중 · 소재: Misc

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Q23TransitionO

Charles Demuth’s 1931 painting Chimney and Water Tower is a classic Precisionist work. The Precisionists strove for cold, machine-like perfection, with crisp lines, geometric shapes, and smooth, brushstroke-free surfaces. ______ Precisionist works often feature skyscrapers, bridges, and factories, highlighting these angular structures’ engineered symmetry.

Which choice completes the text with the most logical transition?

  • A

    However,

  • B

    That said,

  • C

    Accordingly, 

  • D

    In the end, 

💡 정답 확인
정답: C

내 답: C (정답)

유형: Transition · 난이도: 중 · 소재: Art / Music

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Q24Transition어려움O

The Rajahnate of Butuan, a sea power based on Mindanao island in the Philippines that reached the height of its influence around 1100 CE, is classified as a thalassocracy. Thalassocracies are generally considered distinct from tellurocracies, or land-based powers. _______ the British Empire (1600s–1900s CE) notably extended its hegemony across both land and sea.

Which choice completes the text with the most logical transition?

  • A

    Exemplifying this distinction,

  • B

    Underscoring this difference, 

  • C

    Supporting this claim,

  • D

    Blurring this line,

💡 정답 확인
정답: D

내 답: D (정답)

유형: Transition · 난이도: 어려움 · 소재: History

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Q25Summary NotesX

While researching a topic, a student has taken the following notes:

  • 1914: British explorer Ernest Shackleton and a small crew embarked on an expedition to Antarctica.
  • 1915: Shackleton’s ship Endurance became stuck in ice before eventually breaking apart and sinking.
  • 1916: After more harrowing sea-ice adventures, the entire crew was rescued.
  • 1959: Historian Alfred Lansing wrote a book called Endurance: Shackleton’s Incredible Voyage.
  • 2001: Filmmaker George Butler released a documentary called The Endurance: Shackleton’s Legendary Antarctic Expedition.
  • 2022: The wreckage of Endurance was discovered at the bottom of Antarctica’s Weddell Sea.

The student wants to provide a historical overview of the Shackleton expedition. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  • A

    Alfred Lansing wrote about the history of Shackleton’s 1914–16 expedition in the book Endurance: Shackleton’s Incredible Voyage (1959); years later, in 2001, George Butler released a documentary about the expedition.

  • B

    In 1914, the Shackleton expedition sailed to Antarctica, where, in 1916, they rescued the crew of a ship that had sunk, Endurance (the wreckage of which was discovered in 2022).

  • C

    Leaving in 1914 for Antarctica, Shackleton and his crew underwent many harrowing sea-ice adventures, including losing their ship in 1915, before being rescued in 1916.

  • D

    Shackleton’s expedition has inspired a 1959 book, a 2001 film, and a 2022 discovery.

💡 정답 확인
정답: C

내 답: B (오답)

유형: Summary Notes · 난이도: 중 · 소재: History

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Q26Summary NotesO

While researching a topic, a student has taken the following notes:

  • Researchers Gwangsu Kim et al. sought to explore the relationship between the brain's ability to process natural sounds and its ability to process music.
  • They used an artificial deep neural network (DNN) that models how the brain processes auditory information.
  • The DNN had been trained to detect natural sounds (excluding music).
  • Finding: The DNN spontaneously developed neurons that responded to music but not to other auditory stimuli.
  • Conclusion: The brain's ability to process music may arise as a by-product of natural sound processing.

The student wants to present the aim of the study. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  • A

    Using an artificial deep neural network, the researchers sought to explore the relationship between the brain's ability to process natural sounds and its ability to process music.

  • B

    The researchers used an artificial deep neural network, which spontaneously developed neurons that responded to music but not to other auditory stimuli. 

  • C

    By training an artificial deep neural network, the researchers aimed to establish that the brain's ability to process natural sounds arises as a by-product of processing music.

  • D

    In their study, the researchers used an artificial deep neural network that had been trained to detect natural sounds but not music.

💡 정답 확인
정답: A

내 답: A (정답)

유형: Summary Notes · 난이도: 중 · 소재: Psychology and Neuroscience

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Q27Summary Notes어려움O

While researching a topic, a student has taken the following notes:

  • The farm-size transition hypothesis predicts that economic pressures associated with modernization result in smaller farms amalgamating into larger-scale commercial farms.
  • Masters et al. (2013): The average farm size in Asia “already has or will soon begin to rise.”
  • Promkhambut et al. (2023) argue that small rice farms in Thailand have adopted modern farming methods without a significant scaling-up of farm size.
  • Promkhambut et al.: “The persistence of [small] rice farms [in Thailand] does not represent a ‘failure’ to modernize...or a ‘truncated’ transition—it is a response to modernization.”

The student wants to make and support a claim regarding the applicability of the farm-size transition hypothesis to Thailand. Which choice most effectively uses relevant information from the notes to accomplish this goal?

  • A

    Although the farm-size transition hypothesis may be applicable to some countries in Asia, it is inconsistent with the development of rice farming in Thailand.

  • B

    Taken together, the studies by Masters et al. and Promkhambut et al. suggest that rice farms in Thailand have responded to the economic pressures associated with modernization by expanding in size.

  • C

    Masters et al. report that the average farm size “already has or will soon begin to rise” in Asia, a finding that is consistent with the farm-size transition hypothesis.

  • D

    The predicted shift to large-scale commercial farming may not hold true for rice farms in Thailand, where, according to Promkhambut et al., rice farms have remained small as they’ve modernized.

💡 정답 확인
정답: D

내 답: D (정답)

유형: Summary Notes · 난이도: 어려움 · 소재: Misc

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S2·M1Math — Module 121/22 정답
Q1Geometry · Lines and anglesO
question figure

In the figure, two lines intersect at a point. If w equals 128, what is the value of Error converting from MathML to accessible text.?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: D

내 답: D (정답)

유형: Geometry · Lines and angles · 난이도: 중 · 소재: NONE

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Q2Algebra · InequalitiesO

Sabrina has a goal to save at least $ 240. Sabrina has already saved $ 180. If Error converting from MathML to accessible text. represents the additional amount of money, in dollars, Sabrina needs to save to meet her goal, which inequality represents this situation?

  • A

    x over 180 greater or equal than 240

  • B

    180 x greater or equal than 240

  • C

    180 plus x greater or equal than 240

  • D

    180 minus x greater or equal than 240

💡 정답 확인
정답: C

내 답: C (정답)

유형: Algebra · Inequalities · 난이도: 중 · 소재: NONE

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Q3Algebra · Linear functionsO

The function Error converting from MathML to accessible text. is defined by f left parenthesis x right parenthesis equals 12 x plus 18. What is the Error converting from MathML to accessible text.-coordinate of the Error converting from MathML to accessible text.-intercept of the graph of y equals f left parenthesis x right parenthesis in the Error converting from MathML to accessible text.-plane?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 18

내 답: 18 (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q4Additional topics · Distance problemsO

A certain pigeon species can fly at an average speed of Error converting from MathML to accessible text. meters per second when in continuous flight. At this rate, how many meters would this pigeon species fly in Error converting from MathML to accessible text. seconds?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: A

내 답: A (정답)

유형: Additional topics · Distance problems · 난이도: 중 · 소재: NONE

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Q5Dala analysis · ScatterplotsO

In the given scatterplot, a line of best fit for the data is shown:

passage figure

Which of the following equations best represents this line of best fit?

  • A

    y equals 1.1 x

  • B

    y equals negative 1.1 x

  • C

    y equals 5.2

  • D

    y equals negative 5.2

💡 정답 확인
정답: A

내 답: A (정답)

유형: Dala analysis · Scatterplots · 난이도: 중 · 소재: NONE

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Q6Algebra · Linear functionsO

The function Error converting from MathML to accessible text. is defined by d left parenthesis x right parenthesis equals 200 minus 6 to the power of x. What is the value of d left parenthesis 0 right parenthesis?

  • A

    Error converting from MathML to accessible text.

  • B

    194

  • C

    199

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q7Algebra · Nonlinear functionsO

The function Error converting from MathML to accessible text. is defined by f left parenthesis x right parenthesis equals 3 x minus 1 fourth. What is the y-intercept of the graph of y equals f left parenthesis x right parenthesis in the xy-plane?

  • A

    left parenthesis 0 comma space minus 1 divided by 4 right parenthesis

  • B

    left parenthesis 0 comma space minus 3 right parenthesis

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q8Algebra · Linear functionsO

Line Error converting from MathML to accessible text. is defined by y equals 7 x plus 2. Line j is parallel to line Error converting from MathML to accessible text. in the xy-plane and passes through the point left parenthesis 0 comma space 3 right parenthesis. Which equation defines line j?

  • A

    y equals 7 x plus 3

  • B

    y equals negative 3 x plus 3

  • C

    y equals negative 7 x plus 3

  • D

    y equals 3 x plus 3

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q9Algebra · Nonlinear functionsO

If x plus 4 y equals 41 and 7 x minus 20 y equals negative 97, what is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 8

내 답: 8 (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q10Algebra · Linear functionsO

For the linear function Error converting from MathML to accessible text., the graph of y equals f left parenthesis x right parenthesis in the xy-plane has a slope of Error converting from MathML to accessible text. and passes through the point Error converting from MathML to accessible text.. The function ƒ is defined by f left parenthesis x right parenthesis equals a x, where Error converting from MathML to accessible text. is a constant. What is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 28

내 답: 28 (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q11Algebra · Nonlinear functionsO
passage figure


The graph models the number of active projects a company was working on Error converting from MathML to accessible text. months after the end of November Error converting from MathML to accessible text., where 0 less or equal than x less or equal than space 6. According to the model, what is the predicted number of active projects the company was working on at the end of November Error converting from MathML to accessible text.?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: B

내 답: B (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q12Statistics · RangeX

The list gives the number of individuals in each of Error converting from MathML to accessible text. groups of ring-tailed lemurs.


17 comma space 4 comma space 20 comma space 17 comma space 18 comma space 6


What is the range of the numbers of individuals for the Error converting from MathML to accessible text. groups of ring-tailed lemurs?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 16

내 답: 17 (오답)

유형: Statistics · Range · 난이도: 중 · 소재: NONE

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Q13Additional topics · Distance problemsO

d equals 15 t

The given equation relates the distance Error converting from MathML to accessible text., in inches, of an object from its starting position to the time Error converting from MathML to accessible text., in seconds, since the object started moving. What is the rate of change of the object's distance from its starting position over time?

  • A

    15 t inches per second

  • B

    Error converting from MathML to accessible text. inches per second

  • C

    Error converting from MathML to accessible text. inches per second

  • D

    fraction numerator 1 over denominator 15 t end fraction inches per second

💡 정답 확인
정답: B

내 답: B (정답)

유형: Additional topics · Distance problems · 난이도: 중 · 소재: NONE

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Q14Algebra · Absolute value functionsO

f left parenthesis x right parenthesis equals negative 10 left parenthesis 2 right parenthesis to the power of x over 3 end exponent


Which table gives four values of Error converting from MathML to accessible text. and their corresponding values of the function?

  • A


    choice A
  • B


    choice B
  • C


    choice C
  • D


    choice D
💡 정답 확인
정답: B

내 답: B (정답)

유형: Algebra · Absolute value functions · 난이도: 중 · 소재: NONE

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Q15Algebra · Linear functionsO
passage figure


The table shows three values of x and their corresponding values of Error converting from MathML to accessible text., where f left parenthesis x right parenthesis equals fraction numerator k x plus 45 over denominator x plus 2 end fraction and Error converting from MathML to accessible text. is a constant. What is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 5

내 답: 5 (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q16Algebra · Linear functionsO

The function Error converting from MathML to accessible text. is defined by f open parentheses x close parentheses equals fraction numerator x plus 11 over denominator 3 end fraction, and f open parentheses a close parentheses equals 16, where Error converting from MathML to accessible text. is a constant. What is the value of Error converting from MathML to accessible text.?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: C

내 답: C (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q17Arithmetic · Fractions,decimals,and percentagesO

Jasmin grows bean pods in her garden. This year, she harvested 330 bean pods and saved Error converting from MathML to accessible text. of them to plant next year. How many of the harvested bean pods did Jasmin save to plant next year?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: B

내 답: B (정답)

유형: Arithmetic · Fractions,decimals,and percentages · 난이도: 중 · 소재: NONE

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Q18Geometry · CirclesO

A sphere has a radius of Error converting from MathML to accessible text. feet. What is the volume, in cubic feet, of the sphere?

  • A

    fraction numerator 3 straight pi over denominator 8 end fraction

  • B

    fraction numerator 32 straight pi over denominator 9 end fraction

  • C

    fraction numerator 17 straight pi over denominator 3 end fraction

  • D

    fraction numerator 2 comma 048 straight pi over denominator 81 end fraction

💡 정답 확인
정답: D

내 답: D (정답)

유형: Geometry · Circles · 난이도: 중 · 소재: NONE

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Q19Algebra · Linear functionsO

A company that manufactures staplers calculates its monthly profit, in dollars, by subtracting its fixed monthly costs, in dollars, from its monthly sales revenue, in dollars. The equation 11 comma 000 equals 2.00 x minus 6 comma 500 represents this situation for a month where Error converting from MathML to accessible text. staplers are manufactured and sold. Which statement is the best interpretation of 2.00 x in this context?

  • A

    The monthly sales revenue, in dollars, from selling Error converting from MathML to accessible text. staplers

  • B

    The monthly sales revenue, in dollars, from each stapler sold

  • C

    The monthly cost, in dollars, of manufacturing each stapler

  • D

    The monthly cost, in dollars, of manufacturing Error converting from MathML to accessible text. staplers

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q20Algebra · Nonlinear functionsO

If fraction numerator x minus 16 over denominator 27 end fraction equals fraction numerator x minus 16 over denominator 9 end fraction, what is the value of x plus 16?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: D

내 답: D (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q21Algebra · Absolute value functionsO

8 open vertical bar 7 minus x close vertical bar plus 1 equals 81

What is the sum of the solutions to the given equation?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: D

내 답: D (정답)

유형: Algebra · Absolute value functions · 난이도: 중 · 소재: NONE

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Q22Algebra · Nonlinear functionsO
passage figure


The graph of line h is shown in the xy-plane. Line Error converting from MathML to accessible text. (not shown) is defined by s x plus 40 y equals t, where Error converting from MathML to accessible text. and Error converting from MathML to accessible text. are constants. If line Error converting from MathML to accessible text. is graphed in this xy-plane, the result is a graph of two linear equations. This system of two linear equations has no solution. Which of the following is N O T a possible value of Error converting from MathML to accessible text.?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    negative 320

💡 정답 확인
정답: D

내 답: D (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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S2·M2Math — Module 2 (Easy)미응시 · 보너스
Q1Arithmetic · Fractions,decimals,and percentages미응시

Levi and Marissa each have stamp collections. The number of stamps in Levi's collection is 200 percent sign of the number of stamps in Marissa's collection. If there are Error converting from MathML to accessible text. stamps in Marissa's collection, how many stamps are in Levi's collection?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    920

  • D

    1 comma 380

💡 정답 확인
정답: C

미응시 (보너스 문제)

유형: Arithmetic · Fractions,decimals,and percentages · 난이도: 중 · 소재: NONE

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Q2Algebra · Linear functions미응시

A marine biologist uses a linear model to estimate the weight of a blue whale after it is born. The model estimates that a certain blue whale weighs 5 comma 710 pounds at birth and gains Error converting from MathML to accessible text. pounds per hour, for Error converting from MathML to accessible text. hours, after it is born. Based on this model, what is the estimated weight, in pounds, of this blue whale Error converting from MathML to accessible text. hours after it is born?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 5780

미응시 (보너스 문제)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q3Additional topics · Distance problems미응시

An object moves at a speed of 3 over 50 feet per second. What is this speed, in yards per second? left parenthesis 3 space f e e t equals 1 space y a r d right parenthesis


  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    9 over 50

  • D

    1 over 50

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Additional topics · Distance problems · 난이도: 중 · 소재: NONE

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Q4Algebra · System of equations/inequalities미응시
passage figure


The shaded region shown represents solutions to an inequality. Which ordered pair Error converting from MathML to accessible text. is a solution to this inequality?

  • A

    left parenthesis negative 5 comma 0 right parenthesis

  • B

    left parenthesis 0 comma 5 right parenthesis

  • C

    left parenthesis 0 comma negative 5 right parenthesis

  • D

    left parenthesis 5 comma 0 right parenthesis

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Algebra · System of equations/inequalities · 난이도: 중 · 소재: NONE

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Q5Geometry · Circles미응시

Circle Error converting from MathML to accessible text. has a radius of 2 space m i l l i m e t e r s space left parenthesis m m right parenthesis. Circle Error converting from MathML to accessible text. has an area of 144 straight pi space m m squared. What is the total area, in m m squared, of circles Error converting from MathML to accessible text. and Error converting from MathML to accessible text.?

  • A

    14 straight pi

  • B

    28 straight pi

  • C

    56 straight pi

  • D

    148 straight pi

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Geometry · Circles · 난이도: 중 · 소재: NONE

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Q6Algebra · Equivalent expressions미응시

If 5 left parenthesis x plus 4 right parenthesis equals 4 left parenthesis x plus 4 right parenthesis plus 39, what is the value of Error converting from MathML to accessible text.?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    Error converting from MathML to accessible text.

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: C

미응시 (보너스 문제)

유형: Algebra · Equivalent expressions · 난이도: 중 · 소재: NONE

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Q7Algebra · Linear functions미응시

The function Error converting from MathML to accessible text. is defined by f left parenthesis x right parenthesis equals left parenthesis negative 7 right parenthesis left parenthesis 4 right parenthesis to the power of x plus 31. What is the y-intercept of the graph of y equals f left parenthesis x right parenthesis in the xy-plane?

  • A

    left parenthesis 0 comma 24 right parenthesis

  • B

    left parenthesis 0 comma 4 right parenthesis

  • C

    left parenthesis 0 comma 31 right parenthesis

  • D

    left parenthesis 0 comma negative 7 right parenthesis

💡 정답 확인
정답: A

미응시 (보너스 문제)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q8Geometry · Right triangles미응시

In right triangle R S T, the sum of the measures of angle Error converting from MathML to accessible text. and angle Error converting from MathML to accessible text. is Error converting from MathML to accessible text. degrees. The value of sin left parenthesis R right parenthesis is fraction numerator 2 square root of 10 over denominator 7 end fraction. What is the value of cos left parenthesis S right parenthesis?

  • A

    fraction numerator 3 square root of 10 over denominator 20 end fraction

  • B

    fraction numerator 2 square root of 10 over denominator 7 end fraction

  • C

    fraction numerator 7 square root of 10 over denominator 20 end fraction

  • D

    fraction numerator 2 square root of 10 over denominator 3 end fraction

💡 정답 확인
정답: B

미응시 (보너스 문제)

유형: Geometry · Right triangles · 난이도: 중 · 소재: NONE

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Q9Algebra · Inequalities미응시

y less than 42 minus 7 x

y over 7 greater than 10

Which inequality represents the Error converting from MathML to accessible text. values for all solutions Error converting from MathML to accessible text. that satisfy the given system of inequalities in the xy-plane?

  • A

    x greater than 6

  • B

    x less than 6

  • C

    x greater than negative 4

  • D

    x less than negative 4

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Algebra · Inequalities · 난이도: 중 · 소재: NONE

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Q10Geometry · Circles미응시

In the xy-plane, an equation of circle Error converting from MathML to accessible text. is left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 9. Circle Error converting from MathML to accessible text. has the same center as circle Error converting from MathML to accessible text. but has a radius that is twice the radius of circle Error converting from MathML to accessible text.. Which equation represents circle Error converting from MathML to accessible text.?

  • A

    left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 18

  • B

    left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 36

  • C

    left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 54

  • D

    left parenthesis x minus 2 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 81

💡 정답 확인
정답: B

미응시 (보너스 문제)

유형: Geometry · Circles · 난이도: 중 · 소재: NONE

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Q11Geometry · Lines and angles미응시
question figure

A property owner wants to find the length Error converting from MathML to accessible text., in feet, across a pond as represented in the figure. stack P R with bar on top intersects stack S T with bar on top at point Error converting from MathML to accessible text., and angle P T Q is congruent to angle R S Q. The lengths represented by Error converting from MathML to accessible text., T Q, Error converting from MathML to accessible text., and Error converting from MathML to accessible text. were determined to be 4 comma 200 feet, 8 comma 400 feet, 1 comma 400 feet, and 1 comma 600 feet, respectively. What is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 9600

미응시 (보너스 문제)

유형: Geometry · Lines and angles · 난이도: 중 · 소재: NONE

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Q12Algebra · Linear functions미응시
passage figure


The graph shows a linear relationship between Error converting from MathML to accessible text. and Error converting from MathML to accessible text.. Which equation represents this relationship, where Error converting from MathML to accessible text. is a positive constant?

  • A

    R x plus 12 y equals 18

  • B

    R x minus 12 y equals negative 18

  • C

    12 x plus R y equals 18

  • D

    12 x minus R y equals negative 18

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q13Geometry · Triangles미응시
passage figure


In the figure shown, the measure of angle Error converting from MathML to accessible text. is 52 degree. The length of stack X Y with bar on top is Error converting from MathML to accessible text. units and the length of stack X Z with bar on top is Error converting from MathML to accessible text. units. What is the area, in square units, of triangle X Y Z?

  • A

    204

  • B

    408

  • C

    204 space sin space 52 degree

  • D

    408 space sin space 52 degree

💡 정답 확인
정답: C

미응시 (보너스 문제)

유형: Geometry · Triangles · 난이도: 중 · 소재: NONE

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Q14Arithmetic · Number properties (factors,multiples,divisibility,etc.)미응시

A partially filled container containing Error converting from MathML to accessible text. milliliters of water is placed under a leaky faucet that produces one 0.03-milliliter drop of water every Error converting from MathML to accessible text. seconds. Until the container is full, which of the following can be used to represent the volume v,  in milliliters, of water in the container Error converting from MathML to accessible text. seconds after it is placed under the faucet, where Error converting from MathML to accessible text. is a multiple of Error converting from MathML to accessible text.?

  • A

    v equals 0.01 t plus 24

  • B

    v equals 0.03 t plus 24

  • C

    v equals 0.09 t plus 24

  • D

    v equals 3 t

💡 정답 확인
정답: A

미응시 (보너스 문제)

유형: Arithmetic · Number properties (factors,multiples,divisibility,etc.) · 난이도: 중 · 소재: NONE

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Q15Arithmetic · Ratios,rates,and proportions미응시

A research manager selected Error converting from MathML to accessible text. random samples of ovens of a certain type to estimate the average amount of time this type of oven takes to preheat to 325 space d e g r e e s space F a h r e n h e i t space left parenthesis degree F right parenthesis. The research manager recorded the amount of time, in minutes, each oven takes to preheat to 325 degree F. Based on the first sample, the research manager estimated that this type of oven takes an average of 15.2 minutes to preheat to 325 degree F, with an associated margin of error of Error converting from MathML to accessible text.minute. Based on the second sample, the research manager estimated that this type of oven takes an average of 15.4 minutes to preheat to 325 degree F, with an associated margin of error of 2.2 minutes. Assuming the margins of error were calculated the same way, which of the following best explains why the first sample obtained a smaller margin of error than the second sample?

  • A

    The first sample contained more ovens than the second sample.

  • B

    The first sample contained fewer ovens than the second sample.

  • C

    The first sample took more time on average to preheat to 325 degree F than the second sample.

  • D

    The first sample took less time on average to preheat to 325 degree F than the second sample.

💡 정답 확인
정답: A

미응시 (보너스 문제)

유형: Arithmetic · Ratios,rates,and proportions · 난이도: 중 · 소재: NONE

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Q16Algebra · System of equations/inequalities미응시

negative 3 over 19 r x plus s over 8 equals 10 minus 5 over 57 x

In the given equation, Error converting from MathML to accessible text. and Error converting from MathML to accessible text. are constants. The equation has no solution. What is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 5/9/0.555/.5555/.555/0.5555/0.556/.5556/0.5556/.556

미응시 (보너스 문제)

유형: Algebra · System of equations/inequalities · 난이도: 중 · 소재: NONE

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Q17Algebra · Linear functions미응시

negative 8 x left parenthesis x plus 9 right parenthesis equals 40

One solution to the given equation can be written as x equals negative fraction numerator s plus square root of t over denominator 2 end fraction, where Error converting from MathML to accessible text. and Error converting from MathML to accessible text. are positive integers. What is the value of s over t?

  • A

    9 over 101​​​​​​​

  • B

    9 over 76

  • C

    9 over 61

  • D

    18 over 61

💡 정답 확인
정답: C

미응시 (보너스 문제)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q18Geometry · Triangles미응시

In triangle Error converting from MathML to accessible text., the measure of angle Error converting from MathML to accessible text. is 58 degree and A C equals 30. In triangle Error converting from MathML to accessible text., the measure of angle Error converting from MathML to accessible text. is 58 degree and P R equals 120. Which additional piece of information is sufficient to prove that triangle Error converting from MathML to accessible text. is similar to triangle Error converting from MathML to accessible text.?

  • A

    A B equals 35 and P Q equals 35.

  • B

    A B equals 35 and Q R equals 140.

  • C

    The measures of angle Error converting from MathML to accessible text. and angle Error converting from MathML to accessible text. are 34 degree and 88 degree, respectively

  • D

    The measures of angle Error converting from MathML to accessible text. and angle Error converting from MathML to accessible text. are 58 degree and 34 degree, respectively.

💡 정답 확인
정답: C

미응시 (보너스 문제)

유형: Geometry · Triangles · 난이도: 중 · 소재: NONE

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Q19Additional topics · Distance problems미응시

A quadratic function models the height, in feet, of an object above the ground in terms of the time, in seconds, after the object was launched. According to the model, the object was launched from a height of Error converting from MathML to accessible text. feet and reached its maximum height of 1 comma 600 feet Error converting from MathML to accessible text.seconds after it was launched. Based on the model, what was the height, in feet, of the object Error converting from MathML to accessible text. seconds after it was launched?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 1456

미응시 (보너스 문제)

유형: Additional topics · Distance problems · 난이도: 중 · 소재: NONE

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Q20Algebra · Linear functions미응시

The function Error converting from MathML to accessible text. is defined by p left parenthesis x right parenthesis equals a left parenthesis left parenthesis x plus 5 right parenthesis squared minus b right parenthesis space left parenthesis left parenthesis x plus 5 right parenthesis squared minus c right parenthesis, where Error converting from MathML to accessible text., Error converting from MathML to accessible text.,
and Error converting from MathML to accessible text. are constants. In the xy-plane, the graph of y equals p left parenthesis x right parenthesis passes through the points left parenthesis negative 6 comma space 30 right parenthesis and left parenthesis 0 comma space 342 right parenthesis. What is the value of p left parenthesis negative 10 right parenthesis plus p left parenthesis negative 4 right parenthesis?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 372

미응시 (보너스 문제)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q21Algebra · Nonlinear functions미응시

13 left parenthesis x minus n right parenthesis equals 13 y plus 13 n
One of the equations in a system of two linear equations is given, where Error converting from MathML to accessible text. is a positive constant. The system has no solution. Which equation could be the second equation in this system?

  • A

    2 x minus 2 y equals space 4 n

  • B

    2 x plus 2 y equals space 2 n

  • C

    2 x plus 2 y equals 4 n

  • D

    2 x minus 2 y equals 2 n

💡 정답 확인
정답: D

미응시 (보너스 문제)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q22Algebra · System of equations/inequalities미응시

left parenthesis x minus k right parenthesis squared equals left parenthesis k minus 4 a right parenthesis left parenthesis x minus k right parenthesis
In the given equation, Error converting from MathML to accessible text. and Error converting from MathML to accessible text. are constants, where k greater than 4 a. The sum of the solutions to the equation is 3 k plus 35. What is the value of Error converting from MathML to accessible text.?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: -35/4/-8.75

미응시 (보너스 문제)

유형: Algebra · System of equations/inequalities · 난이도: 중 · 소재: NONE

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S2·M2Math — Module 2 (Hard)21/22 정답
Q1Algebra · Linear functions쉬움O

The function g is defined by g left parenthesis x right parenthesis space equals space 19 minus x. What is the value of g(4)?

  • A

    4

  • B

    15

  • C

    19

  • D

    23

💡 정답 확인
정답: B

내 답: B (정답)

유형: Algebra · Linear functions · 난이도: 쉬움 · 소재: NONE

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Q2Algebra · Linear functionsO

Micah deposited a total of $6,600 into two retirement accounts last year by depositing x dollars once each month into one account and y dollars twice each month into the other account. Which equation represents this situation?

  • A

    6 comma 600 space equals space 12 x space plus space 12 y

  • B

    6 comma 600 space equals space 12 x space plus space 24 y

  • C

    6 comma 600 space equals space 24 x space plus space 12 y

  • D

    6 comma 600 space equals space 24 x space plus space 24 y

💡 정답 확인
정답: B

내 답: B (정답)

유형: Algebra · Linear functions · 난이도: 중 · 소재: NONE

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Q3Trigonometry · Trigonometric functionsO

The measure of angle G is straight pi over 10 radians. If the measure of angle G is 9 n degrees, where n is a constant, what is the value of n?

  • A

    2

  • B

    9

  • C

    10

  • D

    18

💡 정답 확인
정답: A

내 답: A (정답)

유형: Trigonometry · Trigonometric functions · 난이도: 중 · 소재: NONE

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Q4Arithmetic · Ratios,rates,and proportions쉬움O

The ratio 6 to 3 is equivalent to the ratio 24 to 3k, where k is a constant. What is the value of k?

  • A

    0.75

  • B

    4

  • C

    12

  • D

    72

💡 정답 확인
정답: B

내 답: B (정답)

유형: Arithmetic · Ratios,rates,and proportions · 난이도: 쉬움 · 소재: NONE

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Q5Algebra · Equivalent expressions쉬움O

Which expression is equivalent to open parentheses 8 n r squared space plus space 2 n r close parentheses space plus space open parentheses 4 n squared r space plus space 3 n r close parentheses?

  • A

    12 n squared r squared space plus space 5 n r

  • B

    12 n cubed r cubed space plus space 5 n squared r squared

  • C

    32 n cubed r cubed space plus space 6 n squared r squared

  • D

    8 n r squared space plus space 4 n squared r space plus space 5 n r

💡 정답 확인
정답: D

내 답: D (정답)

유형: Algebra · Equivalent expressions · 난이도: 쉬움 · 소재: NONE

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Q6Algebra · Equivalent expressionsO

          R space equals space fraction numerator 0.43 l over denominator A end fraction

The given equation relates the resistance R, in ohms, of a wire to its length , l in meters, and its cross-sectional area A, in square meters. Which equation correctly expresses the length, in meters, of the wire in terms of its resistance, in ohms, and its cross-sectional area, in square meters?

  • A

    l space equals space fraction numerator R minus A over denominator 0.43 end fraction

  • B

    l space equals space fraction numerator R plus A over denominator 0.43 end fraction

  • C

    l space equals space fraction numerator 0.43 R over denominator A end fraction

  • D

    l space equals space fraction numerator A R over denominator 0.43 end fraction

💡 정답 확인
정답: D

내 답: D (정답)

유형: Algebra · Equivalent expressions · 난이도: 중 · 소재: NONE

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Q7Algebra · System of equations/inequalitiesO
question figure

The graphs of y space equals space minus 3 x space plus space 7 and y space equals space x space minus space 5 are shown. Point P (not shown) has coordinates left parenthesis 3 comma space minus 5 right parenthesis and lies in the shaded region. The coordinates of P satisfy which of the following inequalities?

          I. y space less than space minus 3 x space plus space 7

          II. y space greater than space x space minus space 5

  • A

    I only

  • B

    II only

  • C

    I and II

  • D

    Neither I nor II

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · System of equations/inequalities · 난이도: 중 · 소재: NONE

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Q8Algebra · Linear functions쉬움O
question figure

There is a linear relationship between x and y. The table shows three values of x and their corresponding values of y in terms of a constant n. What is the slope of the line that represents this relationship in the xy-plane?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 24/5/4.8

내 답: 24/5 (정답)

유형: Algebra · Linear functions · 난이도: 쉬움 · 소재: NONE

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Q9Algebra · Polynomials쉬움O

If open parentheses 1 half x space minus space 21 over 2 close parentheses squared space minus space 81 space equals space 0, what is the value of open parentheses x space minus space 21 close parentheses squared?

  • A

    324

  • B

    162

  • C

    21

  • D

    9

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Polynomials · 난이도: 쉬움 · 소재: NONE

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Q10Geometry · Quadrilaterals & polygons쉬움O

Rectangles ABCD and EFGH are similar. The length of each side of EFGH is 6 times the length of the corresponding side of ABCD. The area of ABCD is 90 square units. What is the area, in square units, of EFGH?

  • A

    15

  • B

    36

  • C

    540

  • D

    3,240

💡 정답 확인
정답: D

내 답: D (정답)

유형: Geometry · Quadrilaterals & polygons · 난이도: 쉬움 · 소재: NONE

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Q11Arithmetic · Fractions,decimals,and percentagesO

On a plot of land, 48.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 23.5% of the square footage of the farmland, and there are buildings on exactly 16.0% of the square footage of the pasture. If there are buildings on exactly % of the square footage of the plot of land, what is the value of p?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 19.6

내 답: 19.6 (정답)

유형: Arithmetic · Fractions,decimals,and percentages · 난이도: 중 · 소재: NONE

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Q12Dala analysis · ScatterplotsO

The scatterplot shows data set A, which consists of the weights y, in pounds, of a Labrador retriever puppy at various ages, x, in months. The equation of a line of best fit for the relationship in data set A can be written as y space equals space minus 5.1 space plus space 8.7 x, where 2 space less or equal than space x space less or equal than space 6.

passage figure

The puppy was weighed again at 9 months old and weighed 52 pounds. Data set B consists of all the data points in data set A as well as the data point (9, 52). The equation of a line of best fit for data set B can be written as y space equals space r space plus space s x, where r and s are constants and 2 space less or equal than space x space less or equal than space 9. Assuming the equations of the lines of best fit are calculated in the same way, which of the following is the best estimate for the value of s?

  • A

    5.9

  • B

    8.7

  • C

    13.8

  • D

    17.7

💡 정답 확인
정답: A

내 답: A (정답)

유형: Dala analysis · Scatterplots · 난이도: 중 · 소재: NONE

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Q13Algebra · Absolute value functionsO

If open vertical bar 16 space minus space 2 x close vertical bar space equals space 58, which of the following is a value of 8 space minus space x?

  • A

    0

  • B

    8

  • C

    29

  • D

    42

💡 정답 확인
정답: C

내 답: C (정답)

유형: Algebra · Absolute value functions · 난이도: 중 · 소재: NONE

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Q14Algebra · Linear functions쉬움O

A book-of-the-month club charges $16 for the first book purchased during the month and an additional $11 for each book after the first. Which equation describes this situation, where y is the total cost, in dollars, for books purchased during a month, x is the number of books purchased during the month, and x space greater than space 0?

  • A

    y space equals space x space plus space 16

  • B

    y space equals space 11 x space plus space 16

  • C

    y space equals space 11 open parentheses x minus 1 close parentheses space plus space 16

  • D

    y space equals space open parentheses x minus 1 close parentheses space plus space 16

💡 정답 확인
정답: C

내 답: C (정답)

유형: Algebra · Linear functions · 난이도: 쉬움 · 소재: NONE

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Q15Algebra · Nonlinear functionsO

A company developed a plan to set the selling price of a product. The company determined that for a selling price of $120.00, zero products would be sold. For each $2.50 decrease in the selling price, the number of products sold would increase by one. For a revenue of exactly $1,437.50, which of the following could be the number of products sold? (revenue = price × times × number of products sold)


  • A

    23

  • B

    24

  • C

    527

  • D

    1,440

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q16Algebra · Nonlinear functionsO
question figure

The equation of the graph shown is y space equals space a to the power of x space plus space b, where a and b are constants. What is the value of a space minus space b?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 11

내 답: 11 (정답)

유형: Algebra · Nonlinear functions · 난이도: 중 · 소재: NONE

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Q17Algebra · PolynomialsO

           y space equals space 7 x squared space minus space b x space minus space 6

Which of the following equations is equivalent to the given equation, where b is a positive constant?

  • A

    y space equals space 7 open parentheses x space minus space b over 14 close parentheses squared space minus space 6 space minus space b squared over 28

  • B

    y space equals space 7 open parentheses x space minus space b over 14 close parentheses squared space minus space 6

  • C

    y space equals space 7 open parentheses x space plus space b over 14 close parentheses squared space minus space 6 space minus space b squared over 28

  • D

    y space equals space 7 open parentheses x space plus space b over 14 close parentheses squared space minus space 6 space

💡 정답 확인
정답: A

내 답: A (정답)

유형: Algebra · Polynomials · 난이도: 중 · 소재: NONE

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Q18Additional topics · Distance problems쉬움O

The equation d space equals space 6 t space plus space 210 gives the distance d, in feet, from a reference point on the surface of Mars to a Mars rover, where t is the number of minutes after the start of a period of observation. By how many feet does the Mars rover's distance from the reference point increase over a period of 20 minutes?

  • A

    330

  • B

    230

  • C

    120

  • D

    6

💡 정답 확인
정답: C

내 답: C (정답)

유형: Additional topics · Distance problems · 난이도: 쉬움 · 소재: NONE

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Q19Geometry · Lines and anglesO

A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is open parentheses 7 x space minus space 410 close parentheses degree. The sum of the measures of one of the acute angles and three of the obtuse angles is open parentheses negative 14 x space plus space w close parentheses degree. What is the value of w?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: 1360

내 답: 1360 (정답)

유형: Geometry · Lines and angles · 난이도: 중 · 소재: NONE

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Q20Additional topics · ProbabilityX

The table summarizes the distribution of age and assigned group for 90 participants in a study.

passage figure

One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least 10 years of age?

  • A

    Error converting from MathML to accessible text.

  • B

    Error converting from MathML to accessible text.

  • C

    11 over 30

  • D

    Error converting from MathML to accessible text.

💡 정답 확인
정답: B

내 답: D (오답)

유형: Additional topics · Probability · 난이도: 중 · 소재: NONE

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Q21Geometry · CirclesO

A circle in the xy-plane has its center at (2, 9). Line t is tangent to this circle at the point (a, –4) , where a is a constant. The slope of line t is Error converting from MathML to accessible text.. What is the value of a?

  • A

    negative 68 over 5

  • B

    negative 53 over 6

  • C

    77 over 6

  • D

    88 over 5

💡 정답 확인
정답: D

내 답: D (정답)

유형: Geometry · Circles · 난이도: 중 · 소재: NONE

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Q22Algebra · PolynomialsO

          negative x squared space plus space b x space minus space 49 space equals space 0

In the given equation, b is an integer. The equation has no real solutions. What is the least possible value of b?

주관식 (Student-Produced Response) — 답을 직접 계산해서 적어보세요.

💡 정답 확인
정답: -13

내 답: -13 (정답)

유형: Algebra · Polynomials · 난이도: 중 · 소재: NONE

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