Tüm alıştırma soruları

A service technician travels by boat from Pier 1 to an offshore platform at a constant speed of $30$ miles per hour. Immediately upon arrival, the technician returns along the exact same route to Pier 1 at a constant speed of $60$ miles per hour. If the entire round-trip journey takes $3$ hours, what is the total distance, in miles, traveled by the technician?

Let $a$, $b$, and $c$ be integers such that $-5 \le a \le 3$, $-4 \le b \le 6$, and $-3 \le c \le 4$. If $a b < 0$ and $b c^2 > 0$, what is the maximum possible value of the expression $\frac{a - c}{b}$?

Read the following passage regarding marine calcification during the Paleocene-Eocene Thermal Maximum:

For several decades, paleoclimatologists maintained that marine calcifying organisms, particularly coccolithophores, would invariably experience diminished shell formation during periods of rapid oceanic acidification. Early laboratory simulations consistently corroborated this paradigm, demonstrating that elevated concentrations of dissolved carbon dioxide lowered seawater pH and reduced carbonate ion availability, thereby severely inhibiting biogenic calcification. Consequently, mainstream marine ecological models treated this inverse relationship as an unassailable baseline, forecasting catastrophic declines in planktonic biomass during hyperthermal events throughout Earth's history. Researchers reasoned that without adequate carbonate ions, micro-organisms could not synthesize calcium carbonate exoskeletons effectively.

However, recent high-resolution isotopic analyses of deep-sea microfossil sediment cores corresponding to the Paleocene-Eocene Thermal Maximum (PETM) present a striking empirical contradiction. Contrary to the prevailing assumption of uniform biological decline, several dominant coccolithophore species actually exhibited accelerated calcification and increased cellular volume during the onset of carbon injection. This unexpected metabolic flexibility challenged existing paradigms that viewed calcification and photosynthesis as strictly decoupled processes under stress. Geochemists now hypothesize that elevated atmospheric carbon dioxide enhanced photosynthetic carbon fixation, which effectively buffered the organisms against the physiological stress imposed by ambient acidification.

Nonetheless, this metabolic compensatory mechanism proved temporally constrained. As ocean warming persisted and upper-water-column stratification intensified, surface nutrient depletion ultimately constrained photosynthetic efficiency, precipitating a delayed secondary decline in calcification rates. Ultimately, understanding these transitional phases is essential for accurately forecasting modern marine ecosystem responses to contemporary carbon emissions. Therefore, rather than validating either simple linear collapse or uninterrupted evolutionary resilience, the PETM record reveals a dynamic, multi-phase trajectory governed by successive physiological trade-offs and ecological bottlenecks.

Match each structural pivot or transition phrase from the passage (on the left) to its precise rhetorical function within the passage's argument trajectory (on the right).

A secure access code is formed by arranging all $6$ of the distinct characters $A, E, B, C, D,$ and $F$ in a single line. If the two vowels ($A$ and $E$) cannot be adjacent to each other, and the code cannot begin with the consonant $B$, how many different valid access codes can be formed?

A bakery display case contains $8$ fruit tarts and $12$ chocolate croissants. If a customer randomly selects $2$ pastry items one after another without replacement, what is the probability that the customer chooses exactly $1$ fruit tart and $1$ chocolate croissant?

Passage:

For decades, architectural historians maintained that the introduction of the ribbed vault in twelfth-century Gothic architecture was driven primarily by structural necessity���specifically, the need to reduce the outward lateral thrust on stone walls and enable taller, lighter masonry construction. Proponents of this structuralist paradigm argued that the intersecting stone ribs functioned as a rigid skeletal framework that bore the primary load of the ceiling, rendering the intervening vaulting panels structurally secondary.

However, recent engineering simulations using finite-element analysis have challenged this long-standing consensus. These physical models demonstrate that the stone ribs carry far less dead load than previously assumed, acting primarily as centering guides during construction rather than as permanent weight-bearing armatures. Moreover, acoustic and aesthetic studies suggest that master masons valued ribbed vaulting principally for its optical articulation of interior space and its ability to standardize stone cutting across disparate bay dimensions.

Yet, dismissing the structural contribution of ribbed vaults entirely would be premature. While contemporary structural analysis proves that ribs do not function as independent skeletons, it also reveals that their presence significantly mitigates micro-cracking caused by seismic tremors and thermal expansion. Thus, rather than viewing ribbed vaulting purely as a revolutionary load-bearing innovation or as a mere decorative overlay, scholars should understand it as an integrative masonry technique that harmonized aesthetic articulation with crucial localized stability.

Which of the following best describes the primary purpose of the passage?

A logistics company operates two types of delivery trucks: Model A and Model B. Model A consumes $0.25$ liters of fuel per mile and incurs $\$1.50$ in maintenance costs per mile. Model B consumes $0.40$ liters of fuel per mile and incurs $\$1.00$ in maintenance costs per mile. On a given day, the fleet consumed a total of $300$ liters of fuel and incurred a total of $\$1,100$ in maintenance costs. What was the total number of miles traveled by the Model A trucks on that day?

Traditionally, economists believed that high corporate tax rates universally discourage foreign direct investment. Proponents of this view point to statistical models showing a strong correlation between low tax rates and increased capital inflow. However, a recent school of thought argues that tax rates are secondary to structural factors such as infrastructure quality and labor force skills. According to this alternative perspective, multinational firms are often willing to tolerate higher taxes in exchange for robust public services. Ultimately, contemporary analysts synthesize these views into a hybrid model, contending that while tax rates matter, their relative impact depends heavily on a nation's developmental stage.

Which of the following best describes the overall structural organization of the passage?

A passage analyzes recent developments in corporate governance and executive compensation. Below are four descriptions of the structural roles played by its paragraphs.

Arrange the structural roles in the correct logical sequence in which they would appear in a standard GMAT reading comprehension passage:

In cognitive linguistics, early researchers hypothesized that conceptual metaphors were merely stylistic flourishes used to ornament pre-existing literal thoughts. Under this traditional model, abstract reasoning occurred independently of bodily experiences, relying entirely on formal amodal symbols. Consequently, metaphors were classified as superficial linguistic features rather than fundamental components of cognitive processing.

However, empirical breakthroughs in embodied cognition during the late twentieth century challenged this disembodied framework. Using reaction-time experiments and neuroimaging, cognitive scientists demonstrated that comprehending abstract domains—such as time or causality—systematically recruits sensorimotor neural circuits. For instance, processing temporal concepts routinely activates spatial representations in the brain, suggesting that metaphoric mapping is an indispensable mechanism of human thought.

Nonetheless, recent critical revisions urge caution against overextending embodied metaphor theory. While acknowledging that sensorimotor simulation plays an initial role in concept acquisition, contemporary scholars argue that as individuals gain domain expertise, abstract concepts undergo a process of structural detachment, becoming increasingly reliant on streamlined symbolic shortcuts. Thus, far from establishing bodily simulation as the sole substrate of abstract thought, structural pivots in current research point toward a hybrid architecture where embodied metaphors and abstract symbols operate dynamically depending on task complexity.

Which of the following best describes how the structural transitions in the passage organize the author's overall argument?

Consider the following statement regarding 19th-century industrialist Clara Vance:

"Although 19th-century industrialist Clara Vance publicly championed free-market deregulation as the primary driver of national prosperity, her private correspondence reveals that she repeatedly lobbied state legislators to enact protective tariffs on imported textiles to safeguard her own domestic manufacturing empire."

Which of the following is most strongly supported by the statement above?

For several decades, organizational theorists examining corporate innovation maintained that decentralized firm structures unequivocally foster greater technological adaptability than centralized hierarchies. According to early empirical models, flat management structures eliminate bureaucratic bottlenecks and democratize project selection, thereby enabling rapid deployment of novel research initiatives. Proponents of this paradigm argued that decision-making autonomy granted to lower-level managers accelerates market responsiveness, rendering structural decentralization an essential prerequisite for firms operating in rapidly evolving technological sectors.

However, recent longitudinal analyses of multi-unit technology enterprises challenge this uncritical endorsement of organizational flatness. To be sure, localized autonomy does encourage initial department-level experimentation; yet, without high-level structural integration, cross-unit coordination frequently falters, generating redundant research pipelines and misaligned resource allocation. Far from ensuring sustained innovation, uncoordinated decentralization often prevents firms from synthesizing disparate breakthroughs into comprehensive commercial products. Nevertheless, critics who advocate a total return to rigid top-down command structures overlook a crucial structural subtlety. Contemporary evidence suggests that optimal innovation performance is achieved not by eliminating autonomy entirely, but by establishing hybrid structural pivots—mechanisms that maintain centralized authority over resource synthesis while delegating tactical execution to specialized units.

Which of the following best describes the logical organization of the passage?

A motorist travels from Town A to Town B, a distance of $120$ miles, at a constant speed of $60$ miles per hour. On the return trip from Town B to Town A along the exact same route, heavy traffic slows the vehicle's speed to $20$ miles per hour for the first half of the distance. At what constant speed, in miles per hour, must the motorist travel for the remaining half of the return trip so that the average speed for the entire $240$-mile round trip is $32$ miles per hour?

For decades, evolutionary biologists explained the emergence of eusociality—a cooperative social structure characterized by division of labor and shared brood care—primarily through the lens of kin selection theory, emphasizing high genetic relatedness among nestmates. In hymenopterans like ants and bees, haplodiploidy creates an asymmetric genetic relatedness that ostensibly incentivizes workers to rear sisters rather than produce offspring. Applied broadly, this framework posited that extreme genetic relatedness was a prerequisite for reproductive altruism across animal taxa.

However, the discovery of eusociality in marine sponge-dwelling snapping shrimp (*Synalpheus*) challenged the universality of haplodiploid genetic asymmetry. Unlike hymenopterans, *Synalpheus* shrimp are diploid, meaning full siblings share only 50 percent of their genes, identical to parents and offspring. Initially, researchers attempted to rescue kin selection by pointing to high levels of inbreeding within sponge colonies, arguing that localized mating artificially elevated genetic relatedness to levels mimicking haplodiploidy.

Nevertheless, recent phylogeographic analyses reveal that eusociality in *Synalpheus* evolved independently multiple times in lineages with low inbreeding coefficients and modest colony-wide relatedness. Consequently, ecological constraints—specifically intense competition for defensive host sponges and the severe mortality costs of dispersal—are now recognized as the primary drivers mediating the transition to sociality in these marine invertebrates. Rather than genetic architecture dictating social organization, physical habitat saturation exerts the decisive selection pressure.

Based on the passage, the author introduces the phrase "Nevertheless, recent phylogeographic analyses reveal" in the third paragraph primarily in order to:

For decades, classical economic theory posited that market deregulation inherently fosters competitive pricing and innovation by eliminating administrative entry barriers. Adherents of this traditional view argued that in deregulated environments, market forces rapidly penalize inefficient incumbents, allowing more nimble entrants to capture market share. However, empirical studies of late-twentieth-century airline and telecommunications deregulation revealed a persistent paradox: initial periods of intense price competition were frequently followed by wave after wave of corporate consolidation, ultimately producing oligopolies even more concentrated than the regulated monopolies they replaced.

To explain this counterintuitive trajectory, behavioral economists proposed a competing framework centered on economies of scale and strategic predatory pricing. They contended that dominant firms utilize superior capital reserves to sustain temporary losses, thereby undercutting newer rivals until the latter are forced into bankruptcy or acquisition. Yet this behavioral model itself has recently come under scrutiny by institutional analysts. Pointing to cross-industry data, institutionalists demonstrate that consolidation occurred primarily in sectors where capital intensity was combined with high consumer switching costs, whereas low-barrier digital markets remained fragmented despite aggressive pricing by incumbents.

Consequently, modern economic analysts advocate a synthesized perspective. Rather than viewing market structure as a deterministic outcome of deregulation or firm strategy alone, they argue that the post-deregulation evolution of an industry is jointly governed by structural capital requirements and consumer friction.

Which of the following best describes the overall logical organization of the passage?

Read the passage below and answer the question that follows:

Astronomers long believed that interstellar dust grains formed primarily in the expanding envelopes of cool giant stars. However, recent observations of distant submillimeter galaxies revealed massive dust reservoirs produced when the universe was less than a billion years old. Since giant stars require several billion years to evolve and shed dust, some astrophysicists hypothesized that core-collapse supernovae—the explosive deaths of massive stars—must be the dominant source of early dust. Conversely, a third group of researchers argues that while supernovae produce initial seed grains, most dust growth actually occurs through the accretion of gas-phase atoms in the cold interstellar medium itself, rather than inside stellar ejecta.

Match each theoretical perspective on interstellar dust formation to the core argument or evidence that supports it.

Read the following passage carefully:

For much of the late nineteenth century, legal scholarship was dominated by classical legal formalism, a paradigm holding that law constitutes an autonomous, internally consistent body of rules from which judicial decisions can be mechanically deduced without recourse to external social considerations. Under this framework, judges were viewed merely as neutral discoverers of objective legal doctrine, whose duty was to apply statutory language and precedent with algorithmic precision.

However, the early twentieth century witnessed the emergence of Legal Realism, a critical movement that challenged formalism’s core premise of judicial neutrality. Realists argued that legal rules are inherently indeterminate and that judicial rulings are primarily shaped by sociological forces, economic pressures, and the subjective values of individual jurists. Rather than viewing judicial opinions as pure logical deductions, Realists framed them as post-hoc rationalizations for decisions arrived at through pragmatic intuition and socio-political inclination.

In response to the perceived subjectivism of Realism, late twentieth-century legal theorists introduced New Textualism, an approach seeking to restore constraint to statutory interpretation without resurrecting formalist idealism. New Textualism insists that judicial analysis must focus strictly on the original public meaning of a statute's text as understood by an ordinary reader at the time of enactment. By disallowing inquiries into subjective legislative intent or policy outcomes, New Textualism aims to curb judicial overreach while acknowledging that judges must interpret, rather than mechanically discover, legal text.

Recently, legal scholars have sought to synthesize these historical perspectives into a hybrid framework. These scholars acknowledge the Realist insight that judges cannot completely disassociate themselves from social context, yet they argue that New Textualism provides an essential institutional boundary. By positioning textual fidelity as a hard constraint within which empirical realities operate, this synthesis attempts to reconcile the descriptive accuracy of Legal Realism with the normative legitimacy demanded by formalist rule-of-law ideals.

Match each paragraph from the passage on the left with its primary structural function within the author's overall argument on the right.

Read the following passage regarding corporate strategy and technological adoption:

For over a decade, management theorists argued that enterprise adoption of artificial intelligence would immediately yield substantial operational cost savings. Initial empirical studies supported this premise, showing short-term productivity boosts in highly automated customer service departments. However, recent longitudinal analyses reveal that these initial gains were offset by rising infrastructure maintenance costs and workforce retraining expenses. Nevertheless, corporate leadership continues to expand AI budgets, operating under the assumption that long-term strategic advantages will eventually outweigh these ongoing expenditures. Ultimately, while AI adoption may not produce the immediate financial windfalls originally envisioned, its capacity to fundamentally restructure business models ensures its permanent integration into corporate strategy.

Based on the structural pivots and transition words in the passage, place the following logical stages of the author's argument trajectory in the correct order from beginning to end.

Passage:
For much of the nineteenth and twentieth centuries, historical geology operated within the framework of Charles Lyell’s principle of uniformitarianism, which asserted that the forces shaping Earth’s surface have remained uniform in rate and intensity throughout deep time. Lyell’s formulation was crucial to establishing geology as a legitimate empirical discipline, effectively displacing supernatural models of sudden planetary devastation. By insisting that only observable, incremental processes—such as steady erosion and gradual sedimentation—could be invoked to explain geological formations, Lyell provided a powerful methodological tool that standardized field observation and stratigraphic analysis.

However, this dogmatic commitment to strict gradualism inadvertently obscured the role of infrequent, highly energetic phenomena in Earth’s evolution. Beginning in the 1980s, geochemical evidence of iridium anomalies at the Cretaceous-Paleogene boundary persuaded paleontologists that a massive bolide impact triggered a sudden global extinction event. Rather than invalidating Lyell’s foundational insight that natural laws are invariant, this revelation forced a nuanced synthesis. Contemporary geologists distinguish between physical uniformitarianism—the constancy of chemical and physical laws—and strict methodological gradualism. The primary purpose of modern historical geology is thus no longer to fit all planetary phenomena into a slow, invariant mold, but rather to analyze how persistent background mechanisms interact dynamically with catastrophic, low-frequency events to drive planetary change.

Statement: The primary purpose of the passage is to explain how modern geology reconciled Lyell’s gradualist uniformitarianism with evidence of sudden catastrophic events to form a more dynamic understanding of Earth’s history.

A dataset consists of 7 integers listed in ascending order: $3, 4, 4, x, 9, y, 15$. If the unique mode of the dataset is $4$ and the arithmetic mean of the dataset is equal to its median, what is the value of $y$?