Tüm alıştırma soruları

If $x$ and $y$ are non-zero real numbers, is $\frac{x}{y} > 0$?

(1) $|x + y| < |x - y|$
(2) $x^2 y + x y^2 < 0$

In a GMAT Data Sufficiency question asking whether the real number $x$ is positive, a statement that uniquely restricts $x$ to the set $\{-3, -1\}$ is sufficient to answer the question.

A rare species of deep-sea sponge produces a chemical compound called sponzenol only when exposed to water temperatures below $4^\circ\text{C}$. In ocean regions where the water temperature is $4^\circ\text{C}$ or higher, these sponges never produce sponzenol. Marine researchers recently discovered a thriving colony of this sponge species in an uncharted trench in the South Pacific and confirmed that the sponges were actively producing sponzenol.

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

If $r$ and $s$ are real numbers, is $r|s| < s|r|$?

(1) $rs < 0$
(2) $r + s > |r - s|$

Which of the following options correctly describes the sufficiency of the statements?

In an effort to increase agricultural production, an agricultural board in a drought-prone province advised tomato growers to replace conventional overhead sprinkler systems with subsurface drip irrigation, which delivers water directly below the soil surface to root zones. The board claimed that adopting subsurface drip irrigation will significantly increase average tomato yields per acre across farms in the province. The board reasoned that because subsurface drip irrigation minimizes surface evaporation, it ensures consistent moisture levels near the plant roots, which is crucial for healthy fruit development.

Which of the following, if true, provides the strongest support for the agricultural board's claim regarding tomato yields?

A recent municipal proposal suggests replacing all diesel-powered harbor tugboats with fully electric alternatives in order to reduce port emissions. Proponents claim that this transition will immediately lower overall harbor operational costs because electric motors require less maintenance. However, this argument overlooks the major electrical grid upgrades needed to charge high-capacity batteries during peak operating hours. The capital expense of installing these dedicated charging stations will far exceed any short-term savings in motor maintenance. Therefore, implementing the proposal as currently structured is unlikely to achieve a net reduction in port operating costs.

In the argument given, the two boldfaced portions play which of the following roles?

Over a five-year period in a coastal agricultural district, local fruit orchards gradually replaced synthetic chemical pesticides with natural predatory insects to control pest populations. During the exact same period, nearby estuarine populations of a threatened wild salmon species increased by over 30 percent. Environmental analysts concluded that the reduction in synthetic pesticide runoff was the direct cause of the recovery in the wild salmon population.

Which of the following would it be most useful to establish in order to evaluate the validity of the environmental analysts' conclusion?

In pharmaceutical research, many analysts maintain that scaling up high-throughput automated synthesis in early-stage drug discovery will invariably reduce overall development timelines for breakthrough therapies. However, this reliance on automated high-throughput screening frequently leads researchers to prioritize easily synthesized, minor variations of existing compounds over structurally novel molecules. Because high-throughput platforms struggle to characterize complex biological interactions early on, promising drug candidates that require intricate synthesis pathways are routinely discarded prematurely. Consequently, laboratories that depend heavily on these automated systems ultimately spend more time troubleshooting late-stage clinical failures than those employing traditional, targeted research methodologies.

In the argument given, which of the following best describes the structural roles played by the two bolded statements?

If $p$ and $q$ are non-zero real numbers, is $|p + q| > |p - q|$?

(1) $|p + 2q| < |p - 2q|$
(2) $p - q > 0$

Passage:
In 2022, a municipal public health board enacted a regulatory mandate stipulating that any water treatment facility constructed after the mandate's passage must incorporate advanced ultraviolet disinfection units. Official compliance reports confirm that every facility incorporating advanced ultraviolet disinfection units successfully reduced bacterial counts below threshold levels. Furthermore, municipal records indicate that total administrative overhead costs dropped in every municipality where a water treatment facility was constructed between 2022 and 2025.

Statement: Based on the passage above, it MUST BE TRUE that at least one water treatment facility incorporating advanced ultraviolet disinfection units was constructed between 2022 and 2025 in a municipality where total administrative overhead costs dropped.

To boost regional farm earnings during droughts, a state agricultural agency plans to subsidize half the cost of a new drought-resistant wheat seed for local farmers. Because this new strain yields 25 percent more grain per acre during dry spells than traditional strains, agency officials claim the subsidy program will increase net agricultural revenue across the region during drought years. Which of the following would be most useful to determine in evaluating the likelihood that the agency's plan will achieve its intended goal?

For any non-zero real numbers $x$ and $y$, the Data Sufficiency target question 'Is $\frac{x}{y} > 0$?' is algebraically equivalent to the rephrased target question 'Do $x$ and $y$ have the same sign?'

If $k$ is a real number, is $|k^2 - 4| < 3k$?

(1) $k^2 - 5k + 4 < 0$
(2) $|k - 1| < 2$

Which statement(s) provide sufficient information to determine whether the inequality holds?

If $k$ is a positive integer, is $k$ divisible by 6?

(1) $k$ is a multiple of 2.
(2) $k$ is a multiple of 3.

A recent survey of urban professionals revealed that individuals who drink green tea every day report significantly lower stress levels than those who do not drink green tea. Based on this correlation, the researchers concluded that daily green tea consumption directly causes a reduction in psychological stress. Which of the following, if true, most seriously weakens the researchers' conclusion?

If $n$ is a real number, is $n > 5$?

(1) $n^2 + 6n + 9 = 0$
(2) $n^2 = 36$

Many macroeconomists contend that Central Bank interventions to suppress short-term interest rates during economic downturns inevitably create asset price bubbles. However, a recent retrospective analysis of mid-century industrial expansion demonstrates that monetary easing in that era consistently stimulated capital reinvestment without distorting asset valuations. This finding suggests that liquidity injections do not inherently inflate asset values; rather, the modern tendency toward asset bubbles stems primarily from financial deregulation that allows banks to leverage cheap credit for speculative trading.

In the argument given, the two boldfaced portions play which of the following roles?

Consider the following argument: A study observed that technology companies offering complimentary daily lunches to employees reported 20% higher project completion rates than technology companies without free lunch programs. The researcher concluded that providing complimentary lunches directly causes an increase in employee productivity. In this argument, the possibility that overall company funding is a third factor influencing both the ability to offer perks and the ability to hire top-performing talent acts as a confounding variable.

In 2025, Apex Motors produced 10,000 electric vehicles, all of which were manufactured at its main manufacturing plant in City X. In that same year, 30 percent of the electric vehicles produced by Apex Motors were exported to international markets, while the remainder were sold domestically.

Which of the following statements can be properly inferred from the information provided above?

A hospital recently introduced an automated ultraviolet-light room sanitation system intended to lower patient infection rates. During the six months following the system's installation, the hospital reported a 30 percent drop in patient infection rates compared to the previous six-month period. Hospital administrators concluded that the ultraviolet sanitation system was directly responsible for the reduction in patient infections. Which of the following, if true, most seriously weakens the hospital administrators' conclusion?