Tüm alıştırma soruları

If $x$ and $y$ are real numbers such that $x \neq 3y$, what is the value of $x + 3y$?

(1) $x^2 + 6xy + 9y^2 = 49$
(2) $x^2 - 9y^2 = 12(x - 3y)$

The table below presents clinical trial metrics and operational parameters for seven oncology drug candidates evaluated by a biopharmaceutical firm:

Evaluate the following statement based on the provided table: "Among the drug candidates currently in Phase III, exactly two candidates satisfy the condition of having an Efficacy Score greater than 80 OR a Manufacturing Cost per Dose less than $200."

If $x$ and $y$ are real numbers, what is the value of $\frac{x}{y}$?

(1) $x^2 y - x y^2 = 12$
(2) $x - y = 3$

An environmental study across 40 agricultural counties observed that farms adopting rotational grazing techniques experienced a 30 percent decrease in soil erosion compared to farms using traditional continuous grazing. Based on this correlation, agricultural consultants concluded that adopting rotational grazing directly causes a reduction in soil erosion. However, critics point out that farms adopting rotational grazing also tended to be located in areas with significantly higher baseline soil organic matter, which independently stabilizes soil structure. Which of the following pairs of statements best identifies: (1) a statement that, if true, would most STRENGTHEN the consultants' causal claim by addressing the critics' concern, and (2) a statement that, if true, would REVERSE the directional causality of the observed correlation?

An agricultural research team evaluated the impact of a new organic bio-fertilizer, BioCrop, on wheat yield across 60 regional farms. The study observed that farms utilizing BioCrop produced an average wheat yield 25% higher than farms using traditional synthetic fertilizers. Consequently, the lead researcher concluded that applying BioCrop directly causes an increase in wheat yield.

Which of the following statements, if true, would weaken the lead researcher's causal conclusion by presenting an alternative explanation or confounding variable? Select TWO correct statements.

A commercial law firm charges clients for services rendered by its Senior Partners and Associate Partners. Last month, the firm billed a total of $450,000 across all client accounts. What was the ratio of the total amount billed for Senior Partner hours to the total amount billed for Associate Partner hours?

(1) Senior Partners billed at an hourly rate that was 50 percent higher than the hourly rate billed by Associate Partners.
(2) Senior Partners accounted for 40 percent of the total number of hours billed by the firm last month.

For decades, planetary scientists attributed the smooth, uncratered plains of Venus's northern lowlands exclusively to catastrophic resurfacing events—massive volcanic floods occurring across the entire planet within a brief geological window approximately 500 million years ago. Proponents of this global cataclysm model argued that the near-uniform spatial distribution of impact craters across the Venusian surface could only be explained by a sudden, planet-wide mantle plume event that erased all prior geological history.

However, a competing perspective advanced by uniformitarian geophysicists suggests that Venus has experienced continuous, localized volcanic activity throughout its history. According to this view, small-scale volcanic flows constantly update isolated regions of the crust at varying rates. Proponents argue that statistical models of crater distribution cannot definitively distinguish between a single global resurfacing event and a steady-state process of equilibrium resurfacing operating over hundreds of millions of years.

Recently, a third group of researchers proposed a hybrid framework, synthesizing elements of both models. They suggest that while Venus underwent episodic regional resurfacing pulses triggered by periodic thermal buildup beneath the lithosphere, these events were neither strictly instantaneous nor globally simultaneous. By demonstrating how localized mantle instabilities recur on regional scales, this compromise view accounts for both the observed crater uniformity and the presence of varied crustal ages detected by recent radar altimetry.

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

For decades, paleoclimatologists interpreted stable oxygen isotope ratios ($^{18}\text{O}/^{16}\text{O}$) preserved in speleothem calcite primarily as a direct proxy for regional annual precipitation totals, assuming that wetter climate regimes consistently enriched rainfall in the lighter $^{16}\text{O}$ isotope. This 'amount effect' model served as the foundational framework for reconstructing Holocene monsoon fluctuations across East Asia. However, recent high-resolution analyses of cave drip-waters and atmospheric trajectory models have exposed critical flaws in this straightforward interpretation. Researchers demonstrated that isotopic fluctuations often reflect shifts in moisture source regions and air-mass transport distances rather than local precipitation volume, rendering the traditional amount-effect assumption oversimplified and potentially misleading.

In response to these anomalies, some climatologists proposed a revised framework attributing speleothem isotopic variability strictly to seasonal shifts in atmospheric circulation patterns. Yet this alternative perspective has also faced scrutiny. While circulation-based models successfully account for moisture trajectory shifts, they frequently understate the modifying influence of localized evapotranspiration and cave microclimatic conditions on isotopic fractionation during calcite precipitation.

Recognizing the limitations of both isolated models, recent scholars advocate an integrative analytical framework. By pairing speleothem isotope records with independent trace-element ratios—such as magnesium-to-calcium ratios—and regional pollen proxies, this synthesized approach disaggregates atmospheric transport dynamics from localized hydrological changes. Consequently, this multi-proxy strategy provides a far more nuanced and robust reconstruction of terrestrial paleoclimate history.

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

Historians studying the mid-sixth-century cooling event (536–550 CE) long debated whether solar minima or volcanic activity triggered the severe global temperature drop recorded in tree-ring anomalies. Recent ice-core analyses from Greenland and Antarctica revealed synchronized spikes in volcanic sulfate deposition dating precisely to 536 CE and 540 CE, leading most paleoclimatologists to conclude that consecutive stratospheric sulfur eruptions were the sole primary driver of the decade-long cold spell. Proponents of this volcanic hypothesis point out that high-latitude volcanic plumes reflect solar radiation back into space, thereby inducing rapid, multi-year hemispheric cooling.

However, planetary geochemists note that sulfate deposition in polar ice sheets merely indicates the magnitude of atmospheric sulfur aerosol loading, not the geographic elevation or latitude of the eruption source, nor the duration of tropospheric residence. Crucially, tree-ring density data across Northern Hemisphere boreal forests show that growth suppression persisted for nearly fourteen years after 536 CE—a duration nearly double the typical residence time of volcanic aerosols in the stratosphere before gravitational settling occurs. To account for this discrepancy, some researchers contend that an initial volcanic cooling pulse triggered a self-sustaining oceanic-sea ice feedback loop in the North Atlantic, wherein expanding sea ice increased planetary albedo and weakened heat transport from the tropics, thus prolonging cold conditions long after the volcanic aerosols had cleared.

Which of the following is an assumption on which the researchers' explanation for the prolonged duration of the cooling event depends?

In credit underwriting, modern financial institutions increasingly rely on machine-learning algorithms to assess loan default risk. Proponents contend that by replacing human credit officers with automated scoring models, banks eliminate cognitive biases—such as localized over-pessimism following regional economic downturns—thereby maximizing portfolio efficiency and widening credit access. However, recent empirical audits of algorithmic underwriting frameworks reveal a persistent vulnerability known as 'model drift.' Model drift occurs when the statistical relationships established during an algorithm's training period degrade as macro-environmental conditions evolve.

For instance, an algorithm trained during a decade of low interest rates and stable inflation may misinterpret borrower leverage metrics when economic conditions shift to high-volatility regimes. Because automated models lack contextual reasoning, they continue to project low default probabilities based on historical correlations that no longer hold. Consequently, institutions overexposed to algorithmic underwriting often experience unexpected spikes in non-performing loans during macro-shocks. Some financial risk analysts thus argue that algorithmic models do not eradicate systemic underwriting risk, but rather displace it from individual subjective bias to structural parameter rigidity. Nonetheless, certain fintech executives maintain that real-time model re-calibration using high-frequency transaction data can fully insulate automated underwriting from the destabilizing effects of sudden economic transitions.

Which of the following, if true, would most seriously call into question the claim made by the fintech executives regarding the effectiveness of real-time model re-calibration?

Passage:
For decades, paleoanthropologists evaluating the origins of human language posited that the structural capacity for complex syntax was uniquely linked to the specific anatomical descent of the hyoid bone observed exclusively in Homo sapiens. Under this anatomical supremacy model, Neanderthals (Homo neanderthalensis) were categorized as lacking true syntactic communication due to subtle differences in upper vocal tract resonance. However, recent biomechanical reconstructions utilizing high-resolution micro-CT modeling demonstrate that Neanderthal hyoid bones possessed micro-geometric force-bearing properties functionally identical to those of modern humans, capable of supporting the acoustic range necessary for complex phonation.

Building upon these anatomical findings, several cognitive archaeologists argue that the discovery of Neanderthal pigment use and grave goods confirms that Neanderthals engaged in symbolic syntactic dialogue. Critics of this cognitive leap counter that while anatomical parity proves the physical capacity for acoustic modulation, symbolic material culture does not inherently necessitate syntactic linguistic structure; basic symbolic behavior can persist via iconic mimicry and non-syntactic gestural conventions. Furthermore, these critics contend that attributing full syntactic capability to Neanderthals based on symbolic artifacts conflates the communicative utility of isolated symbols with the recursive grammatical rules that define true language.

Evaluate the following statement based on the passage:
Statement: The critics' counterargument regarding Neanderthal symbolic artifacts operates by asserting that symbolic material culture is a sufficient condition for the existence of recursive syntactic language.

For over half a century, macroeconomists evaluating sovereign debt crises relied on the structural solvency model, which asserts that default risk is overwhelmingly determined by a nation's debt-to-GDP ratio and fiscal deficit trajectory. According to this framework, market panics are merely rational responses to deteriorating underlying fundamentals. However, recent empirical analyses of early twenty-first-century European bond markets challenge this paradigm, demonstrating that fiscal metrics alone failed to predict the sharp divergence in sovereign yields during periods of financial stress.

Sociological economists propose an alternative liquidity-contagion framework, arguing that modern sovereign debt markets are prone to self-fulfilling belief dynamics independent of immediate solvency shifts. They contend that when institutional investors observe sell-offs in peer sovereign bonds, risk-averse mandate structures force preemptive liquidation, driving up borrowing costs for fundamentally sound nations and ultimately inducing insolvency. Critics of this sociological perspective maintain that market panics are rarely autonomous; instead, they claim that sell-offs are triggered by latent structural vulnerabilities—such as unrecorded contingent liabilities in state-owned enterprises or banking sectors—that standard fiscal metrics overlook. Thus, these critics argue, what appears to be self-fulfilling panic is simply the market rapidly pricing in newly uncovered microeconomic risks.

Nonetheless, defenders of the liquidity-contagion model point out that several sovereigns with identical banking sector exposures and fiscal profiles experienced radically different borrowing cost trajectories depending solely on the sequence of speculative trades. This divergence suggests that structural vulnerability models, even when expanded to include contingent liabilities, remain insufficient to explain yield volatility without incorporating market sentiment dynamics.

Which of the following, if true, would most seriously weaken the argument made by the critics of the sociological liquidity-contagion framework?

For several decades, environmental historians attributed the widespread adoption of regulated coppice-with-standards forestry in seventeenth-century Central Europe to a centralizing bureaucratic drive toward resource conservation, framing early modern forest codes as top-down interventions designed to avert timber famine. Early scholarship argued that regional principalities systematically imposed these silvicultural regimes upon resistant rural communities to secure standardized wood supplies for mining and naval construction.

However, recent archival research into local manorial records complicates this state-centered narrative. Newer analyses demonstrate that many coppice techniques were actually developed iteratively by peasant communities generations before municipal authorities codified them into formal statutes. Rather than resisting state regulations, village assemblies frequently petitioned regional rulers to validate existing customary access rights against commercial timber merchant encroachments. Thus, the formalization of forest codes represented not an imposition of alien scientific forestry, but a legislative compromise that institutionalized grassroots ecological practices in exchange for state tax revenues.

Ultimately, while the traditional view correctly identifies the state's role in expanding forestry enforcement, it mischaracterizes the direction of technical innovation and policy formation. The integration of local agrarian practice into state legal frameworks reveals that early modern resource management emerged from a dialectical synthesis of community self-governance and fiscal state-building, rather than a unilateral exercise of autocratic authority.

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

For decades, paleoclimatologists explaining the Mid-Pleistocene Transition—a shift approximately one million years ago during which glacial cycles lengthened from 41,000-year to 100,000-year periodicity—attributed the phenomenon primarily to gradual atmospheric carbon dioxide drawdown caused by continental weathering. According to this prevailing model, reduced greenhouse forcing allowed polar ice sheets to survive orbital insolation maxima, thereby establishing longer climate cycles driven by ice-sheet dynamics.

However, recent high-resolution ice-core analyses have introduced significant complications into this consensus. These analyses demonstrate that atmospheric carbon dioxide concentrations during the transition fluctuated within narrower bounds than previously estimated, proving insufficient on their own to trigger the observed lengthening of glacial periods. In response to these findings, a secondary group of researchers proposed an alternative hypothesis focusing on oceanic circulation shifts. They argue that changes in deep-water formation in the Southern Ocean altered global thermohaline circulation, modifying sea-surface temperature gradients and sea-ice extent in ways that amplified glacial growth independently of atmospheric gas concentrations.

While this oceanic feedback hypothesis successfully accounts for the timing of northern hemisphere ice-sheet enlargement, it is not without structural vulnerabilities. The model relies heavily on isotopic proxy data retrieved from a limited subset of South Atlantic sediment cores, assuming these regional signatures reflect global deep-ocean dynamics. Yet preliminary data from Pacific basins suggest that deep-water ventilation remained largely unchanged during the early phase of the transition. Consequently, a comprehensive accounting of the Mid-Pleistocene Transition requires moving beyond single-variable models. The most defensible framework is a synthesized approach wherein subtle atmospheric carbon variations acted as a baseline primer, while localized oceanic circulation changes and dust-ice albedo feedbacks dictated the threshold responses of specific continental ice sheets.

Which of the following best describes the overall rhetorical plan of the passage?

In 2021, digital audiobook licenses accounted for exactly 20 percent of all new catalog acquisitions made by the City Library System, with physical printed books accounting for the remaining 80 percent. By 2025, digital audiobook licenses represented 40 percent of all new catalog acquisitions, with physical printed books making up the remaining 60 percent. The total number of physical printed books acquired by the library system in 2025 was exactly the same as the total number of physical printed books acquired in 2021.

If the statements above are true, which of the following must also be true on the basis of them?

In 2022, synthetic fiber products accounted for exactly 30 percent of the total metric tons of textile exports produced by Country X, with natural fiber products making up the remaining 70 percent. In 2025, synthetic fiber products accounted for 50 percent of Country X's total metric tons of textile exports, while natural fiber products made up the remaining 50 percent. If the total volume (in metric tons) of synthetic fiber textile exports produced by Country X increased by 20 percent from 2022 to 2025, which of the following statements must be true based on the information provided?

For decades, evolutionary biologists operating within the classical modern synthesis framework posited that complex morphological novelties—such as eyes, wings, or segmented body plans—arose through independent, gradual mutations within gene networks unique to each lineage. Under this traditional paradigm, convergent evolution in distantly related taxa was understood to be driven by parallel environmental pressures acting upon entirely disparate genetic substrates. Consequently, phenotypic similarities between phylogenetically distant organisms were routinely cataloged as superficial analogies rather than evidence of shared evolutionary heritage. However, the emergence of evolutionary developmental biology ('evo-devo') in the late twentieth century, particularly the discovery of 'deep homology'—the conservation of ancient master regulator genes across phylogenetically disparate phyla—fundamentally challenged this foundational assumption.

Initial research in evo-devo focused heavily on genes like Pax-6, a transcription factor implicated in eye development across organisms ranging from fruit flies to mice. Early investigators interpreted the functional indispensability of Pax-6 in both arthropod compound eyes and vertebrate camera eyes as definitive proof that a complex, image-forming eye had already evolved in the Urbilaterian ancestor common to protostomes and deuterostomes. This interpretation, while paradigm-shifting, quickly generated conceptual tensions. Skeptics pointed out that fossil evidence of Urbilaterian morphology suggested a far simpler organism, unlikely to possess complex visual systems, and that the anatomical architectures of compound and camera eyes remain fundamentally distinct at the cellular level.

Recent comparative genomic analyses have resolved this paradox by reframing the concept of genetic conservation. Researchers demonstrated that while Pax-6 is indeed an ancient regulatory component conserved across vast evolutionary distances, the downstream target genes and developmental cascades it recruits differ radically between lineages. Rather than directing a monolithic developmental blueprint for an eye, Pax-6 operates as a versatile, modular switch that was independently wired into divergent morphogenetic pathways. Contemporary evolutionary theory thus synthesizes these insights: it rejects both the classical view of completely independent genetic origin and the early evo-devo assumption of ancestral organ complexity. Instead, it posits that structural innovation occurs through the novel deployment of a deeply conserved genetic 'toolkit', reconciling genetic homology with anatomical novelty.

Which of the following best describes the organization of the passage as a whole?

Passage:
In plant-fungal ecology, 'asymmetric mutualistic erosion' describes a systemic failure state occurring when an environmental shift selectively alters the cost-benefit ratio for one partner in an obligate symbiosis, prompting that partner to reduce its contribution while continuing to consume resources from the other. Under baseline nutrient-scarce conditions, mycorrhizal fungi supply plants with vital phosphorus in exchange for photosynthetic carbon, maintaining a balanced mutualism. However, when anthropogenic nitrogen deposition artificially enriches soil phosphorus levels, the host plant's reliance on fungal phosphorus drops precipitously. Rather than terminating the association outright, the plant throttles carbon allocation to the fungal network to conserve energy for its own vegetative growth. Crucially, because the fungal network lacks real-time sensory mechanisms to detect the host's carbon restriction, it continues transporting soil minerals to the plant root interface in an attempt to trigger the expected carbon reward. This creates an uncoupled transfer dynamic: the host plant absorbs the fungal metabolic output while withholding its own reciprocal contribution, steadily degrading the fungal network's structural integrity until the provider's infrastructure collapses. Ecologists emphasize that this systemic decay is driven not by active hostility, but by a lagging feedback loop wherein one partner continues fulfilling its performance obligations despite the structural cessation of reciprocal benefits from a counterparty whose reliance has vanished.

Which of the following scenarios is most analogous to the dynamic of 'asymmetric mutualistic erosion' described in the passage?

Passage:
In the late twentieth century, agricultural economists theorized that real-time satellite monitoring of soil moisture would universally stabilize crop yield predictions in arid farming regions. Early optical satellite sensors, however, were restricted by cloud cover and canopy interference, yielding sparse datasets that failed to improve predictive models for shallow-root grain crops. To overcome these limitations, researchers in the 2010s deployed synthetic aperture radar (SAR), a microwave imaging technique capable of penetrating upper canopy layers to measure moisture in the top five centimeters of soil.

While SAR significantly enhanced yield forecasts for short-cycle annual crops, its integration into regional risk assessment models produced unexpected anomalies when applied to deep-rooted perennial crops such as almond orchards. Soil scientists discovered that SAR signals reflect primarily surface moisture, whereas perennial yield stability depends overwhelmingly on subsoil hydrological reserves located more than two meters deep. Consequently, regions heavily reliant on SAR data for long-term irrigation planning systematically underestimated drought vulnerability during prolonged dry spells, as surface moisture readings remained temporarily inflated by minor, superficial precipitation events that never reached the deep root zone.

Based on the passage, which of the following can be logically inferred regarding the application of remote sensing technologies to agricultural yield forecasting?

An industrial bakery uses two automated mixing machines, Machine X and Machine Y, operating simultaneously at their respective constant rates, to prepare batches of dough. How many hours would it take Machine X, working alone at its constant rate, to complete a production order of $1,200$ batches of dough?

(1) Working together at their respective constant rates, Machine X and Machine Y can complete the production order of $1,200$ batches of dough in $8$ hours.
(2) Machine Y's constant production rate is $50\%$ greater than Machine X's constant production rate.