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Question 1301Question →

In 2025, a coastal region designated a 50-mile marine sanctuary where commercial fishing was strictly prohibited, aiming to restore depleted populations of yellowtail snapper. Over the following two years, biological surveys confirmed a marked increase in the adult yellowtail snapper population within the sanctuary. Paradoxically, during the same period, commercial fishing fleets operating in the unrestricted waters immediately surrounding the sanctuary reported a significant increase in their average daily catch rate of adult yellowtail snapper per vessel, even though total fishing effort outside the sanctuary remained unchanged and no technological upgrades were adopted.

Which of the following, if true, most helps to resolve the apparent discrepancy described above?

Show answer & explanation

Answer: As the yellowtail snapper population inside the sanctuary expanded, large numbers of adult fish naturally migrated into the adjacent unrestricted waters in search of food.

Answer

As the yellowtail snapper population inside the sanctuary expanded, large numbers of adult fish naturally migrated into the adjacent unrestricted waters in search of food.
The correct answer provides a spillover mechanism: as the protected fish population grows and resources inside the reserve become constrained, adult fish migrate into adjacent open waters. This naturally increases fish density in unrestricted zones, enabling fishing vessels to catch more fish per day without changing their equipment or increasing effort.

Step-by-Step Solution

1
Identify the two contradictory premises in the stimulus.
Premise 1: Snapper population inside the sanctuary increased. Premise 2: Daily catch rates per vessel outside the sanctuary also increased despite no changes in fishing effort or technology.
Resolving a discrepancy requires clearly isolating the two facts that appear mutually exclusive.
2
Determine the necessary condition for a valid resolution.
The correct option must introduce a new factor showing how population growth inside the reserve directly leads to higher fish density in open waters.
A valid resolution reconciles both premises without contradicting either stated fact.
3
Evaluate the choices for a bridging mechanism.
The choice describing outward migration of adult fish from the crowded sanctuary into surrounding waters connects the population rise inside to higher catch rates outside.
This 'spillover effect' explains how both empirical trends can occur simultaneously.

Key Concept

Resolving Paradoxes and Apparent Discrepancies
Question 1302Question →

If kk is a real number, is k3>kk^3 > k?

(1) k2−k<0k^2 - k < 0
(2) k2>1k^2 > 1

Show answer & explanation

Answer: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Answer

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
The option stating that Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient is correct because Statement (1) restricts kk to the interval (0,1)(0, 1), where k3k^3 is strictly less than kk, giving a definitive 'No' to the stem question. A statement that yields a consistent 'No' is sufficient in GMAT Data Sufficiency. Statement (2) permits values both greater than 1 (where the answer is Yes) and less than -1 (where the answer is No), making it insufficient.

Step-by-Step Solution

1
Rephrase the question stem algebraically.
The question asks whether k3−k>0k^3 - k > 0, which factors into k(k−1)(k+1)>0k(k - 1)(k + 1) > 0.
Simplifying the stem establishes the exact sign behavior of the expression across different intervals of kk.
2
Evaluate Statement (1): k2−k<0k^2 - k < 0.
Factoring yields k(k−1)<0k(k - 1) < 0, which means 0<k<10 < k < 1. For any kk in (0,1)(0, 1), k>0k > 0, (k−1)<0(k - 1) < 0, and (k+1)>0(k + 1) > 0. The product k(k−1)(k+1)k(k - 1)(k + 1) is (positive) × (negative) × (positive) = negative. Thus, k3<kk^3 < k for all k∈(0,1)k \in (0, 1). The answer to 'Is k3>kk^3 > k?' is a definitive NO.
In GMAT Data Sufficiency Yes/No structure logic, a statement that guarantees a definitive 'No' answer for all permissible values is SUFFICIENT.
3
Evaluate Statement (2): k2>1k^2 > 1.
Solving the inequality gives k>1k > 1 or k<−1k < -1. If k=2k = 2, k3=8>2k^3 = 8 > 2 (Answer: YES). If k=−2k = -2, k3=−8k^3 = -8 and k=−2k = -2, so −8>−2-8 > -2 is FALSE (Answer: NO). Because Statement (2) allows both YES and NO outcomes, it is INSUFFICIENT.
A statement that yields conflicting Yes and No answers depending on the chosen value within its domain is insufficient.

Key Concept

Value vs. Yes/No Data Sufficiency Decision Logic: Definitive 'No' Sufficiency
Question 1303Question →

In a recent study evaluating corporate restructuring in high-tech manufacturing firms from 2018 to 2024, researchers observed that every firm that reduced its middle-management workforce by more than 20% simultaneously increased its expenditure on automated workflow software by at least 30%. Furthermore, none of the firms that increased their software expenditure by at least 30% experienced a drop in quarterly operating margins during the study period. However, more than half of all manufacturing firms in the study that retained their entire middle-management workforce reported a decrease in annual R&D allocation.

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

Show answer & explanation

Answer: No high-tech manufacturing firm in the study that reduced its middle-management workforce by more than 20% experienced a drop in quarterly operating margins during the study period.

Answer

No high-tech manufacturing firm in the study that reduced its middle-management workforce by more than 20% experienced a drop in quarterly operating margins during the study period.
The passage establishes two formal statements: (1) Every firm reducing middle management by >20% increased software expenditure by ≥30%, and (2) None of the firms increasing software expenditure by ≥30% had a drop in quarterly operating margins. Combining these statements transitively proves that any firm reducing middle management by >20% necessarily avoided a drop in quarterly operating margins. Thus, the statement asserting that no such firm experienced a drop in operating margins must be true.

Step-by-Step Solution

1
Identify and symbolize the explicit conditional premises from the text
Premise 1: Reduced middle management >20% → Increased software expenditure ≥30%. Premise 2: Increased software expenditure ≥30% → NO drop in quarterly operating margins.
Mapping the conditional logic allows clear evaluation of valid chain deductions versus invalid reversals or inverses.
2
Synthesize the premises via hypothetical syllogism (transitive property)
Reduced middle management >20% → NO drop in quarterly operating margins.
Since the necessary condition of Premise 1 matches the sufficient condition of Premise 2, a direct link between the initial condition and final result is logically guaranteed.
3
Evaluate the answer choices to identify the strictly necessary deduction and eliminate 'could be true' or out-of-scope traps
The statement asserting that no firm reducing middle management by >20% experienced a drop in quarterly operating margins is logically mandatory.
GMAT Critical Reasoning inference items require a statement that MUST be true without outside assumptions or formal logical fallacies.

Key Concept

Combining Conditional Logic Premises and Avoiding 'Could Be True' / Out-of-Scope Traps
Question 1304Question →

Complete the passage logically by providing the missing conclusion.

Fill in the blanks below

During the late nineteenth century, transoceanic telegraph cable networks relied on gutta-percha—a natural latex resin—for underwater insulation. Because gutta-percha harvested from tropical trees degraded rapidly when exposed to ambient air and sunlight, storing it in land-based facilities often rendered it unusable before manufacturing began. However, when continuously submerged in cold water, the material retained its chemical stability and structural flexibility indefinitely. Consequently, cable suppliers realized that rather than constructing costly climate-controlled land storage warehouses, they could preserve harvested resin prior to shipping simply by .
Show answer & explanation

Answer

Submerging the harvested resin in cold water reservoirs or local aquatic basins prior to shipping.
The passage establishes two key facts: exposure to air and sunlight degrades harvested gutta-percha, whereas continuous submersion in cold water preserves it indefinitely. Therefore, to avoid the high cost of climate-controlled land warehouses, the most direct and logical solution is to store the harvested material submerged in cold water.

Step-by-Step Solution

1
Identify the main problem and the contrasting condition presented in the premises.
Air and sunlight degrade gutta-percha rapidly, rendering land storage costly and problematic, whereas continuous submersion in cold water preserves its properties indefinitely.
The conclusion must directly bridge the problem (air exposure causes decay) with the natural solution provided by the physical property (cold water submersion prevents decay).
2
Synthesize the contrast into a operational recommendation that completes the 'consequently' statement.
Instead of building expensive climate-controlled land warehouses, suppliers should store the harvested resin underwater in cold water environments prior to processing.
This directly completes the logical chain without introducing unstated assumptions or extrapolations.

Key Concept

Completing the Passage Logically
Question 1305Question →

Based on the provided passage, evaluate whether the statement MUST BE TRUE based solely on the information given.

Passage:
During the third quarter of last year, a regional healthcare provider implemented a new digital triage system in all of its urgent care centers. During that same quarter, the average wait time for non-emergency patients at these centers decreased by 15 percent.

Statement:
The implementation of the digital triage system was the primary cause of the reduction in average wait times for non-emergency patients.

Show answer & explanation

Answer: False

Answer

The statement is False (it cannot be definitively inferred as a must-be-true conclusion).
The statement cannot be properly inferred because the passage only establishes that two events happened during the same period. Asserting that one event caused the other goes beyond the scope of the text and relies on an unproven assumption.

Step-by-Step Solution

1
Analyze the premises stated in the passage.
The passage provides two facts: (1) a digital triage system was introduced in Q3, and (2) average wait times for non-emergency patients fell by 15% in Q3.
Valid GMAT inferences rely strictly on facts explicitly stated in the stimulus.
2
Compare the statement's claim against the facts.
The statement claims that the triage system was the 'primary cause' of the wait-time drop.
The statement moves beyond mere correlation to assert a direct causal relationship.
3
Apply GMAT inference rules to evaluate logical necessity.
Two events occurring simultaneously does not prove that one caused the other; alternate explanations (such as increased staffing or lower patient volume) remain possible.
Assuming causality from concurrence is an unwarranted extrapolation trap, making the statement fail as a must-be-true conclusion.

Key Concept

Avoiding Causal and 'Could Be True' Inference Traps
Question 1306Question →

In the mid-twentieth century, manufacturing plants employing automated assembly lines recorded higher worker productivity per hour and lower unit production costs than plants using manual assembly methods. Nevertheless, among plants that operated profitably and sold 100 percent of their output, total operating profits were consistently higher at manual plants producing custom, low-volume goods than at automated plants producing standardized, high-volume goods.

If the statements above are true, which of the following must also be true regarding the manufacturing plants during the specified period?

Show answer & explanation

Answer: The average selling price per unit of custom goods produced at manual plants was higher than the average selling price per unit of standardized goods produced at automated plants.

Answer

The average selling price per unit of custom goods produced at manual plants was higher than the average selling price per unit of standardized goods produced at automated plants.
The correct answer must be true based on the algebraic relationship between total profit, production volume, unit costs, and unit selling prices. Given that manual plants produced a lower volume of goods (QM<QAQ_M < Q_A) with higher unit production costs (CM>CAC_M > C_A) yet earned higher total operating profit (QM⋅MarginM>QA⋅MarginAQ_M \cdot Margin_M > Q_A \cdot Margin_A), the profit margin per unit for custom goods (PriceM−CMPrice_M - C_M) had to be greater than that for standardized goods (PriceA−CAPrice_A - C_A). Combining PriceM−CM>PriceA−CAPrice_M - C_M > Price_A - C_A with CM>CAC_M > C_A logically forces PriceM>PriceAPrice_M > Price_A.

Step-by-Step Solution

1
Analyze the mathematical relationship for total profit.
Total Profit = Quantity Sold × (Unit Selling Price - Unit Cost).
Establishing the core profit formula allows us to compare manual plants producing custom goods (MM) and automated plants producing standardized goods (AA).
2
Identify the given comparative premises.
1) Unit Cost for manual plants is greater than Unit Cost for automated plants (CM>CAC_M > C_A). 2) Quantity sold for manual plants is lower than for automated plants (QM<QAQ_M < Q_A). 3) Total Profit for manual plants is greater than for automated plants (ProfitM>ProfitA>0Profit_M > Profit_A > 0).
Extracting the quantitative constraints provided in the passage sets up the logical inequality.
3
Evaluate the profit per unit constraint.
Since QM⋅(PriceM−CM)>QA⋅(PriceA−CA)Q_M \cdot (Price_M - C_M) > Q_A \cdot (Price_A - C_A) and 0<QM<QA0 < Q_M < Q_A, it must hold that (PriceM−CM)>(PriceA−CA)(Price_M - C_M) > (Price_A - C_A).
For a smaller quantity of goods to yield a larger total profit than a larger quantity of goods, the profit margin per unit for the smaller-quantity goods must be strictly greater.
4
Deduce the relationship between selling prices.
Since (PriceM−CM)>(PriceA−CA)(Price_M - C_M) > (Price_A - C_A) and CM>CAC_M > C_A, adding CMC_M to both sides gives PriceM>PriceA+(CM−CA)>PriceAPrice_M > Price_A + (C_M - C_A) > Price_A. Thus, PriceM>PriceAPrice_M > Price_A.
Because manual unit costs were higher, the unit selling price of custom goods produced at manual plants had to be higher than that of standardized goods to yield both a higher unit margin and higher overall profit.

Key Concept

Quantitative and Logical Deductions from Mathematical Constraints
Estimated Time:2m 0s
Question 1307Question →

Which of the following phrases most logically completes the passage below?

Fill in the blanks below

In recent years, several major pharmaceutical firms have transitioned from fixed-fee manufacturing contracts to outcome-based pricing models for newly approved rare-disease therapies, reimbursing healthcare providers if a drug fails to produce measurable clinical efficacy within six months. While proponents argued that this shift would incentivize drugmakers to release only highly effective treatments, industry analysts note that developing diagnostic tests to reliably verify six-month clinical efficacy requires substantial upfront capital that small biotech firms cannot afford. Consequently, if third-party insurers demand outcome-based pricing across all rare-disease therapies, small biotech developers will likely be forced to license their experimental compounds to large pharmaceutical conglomerates long before clinical trials conclude, thereby .
Show answer & explanation

Answer

The passage is most logically completed by indicating that mandatory outcome-based pricing will consolidate market dominance and commercialization control within large pharmaceutical conglomerates while preventing small biotechs from bringing therapies to market independently.
The correct logical completion must bridge the shift from biotechs being unable to fund diagnostic testing to their forced licensing of compounds to large pharmaceutical conglomerates. Early licensing deprives small biotechs of direct commercialization, thereby entrenching and consolidating market control of innovative rare-disease treatments within large pharmaceutical conglomerates.

Step-by-Step Solution

1
Identify and break down the premise chain in the passage.
Premise 1: Outcome-based pricing requires costly diagnostic tests to verify clinical efficacy. Premise 2: Small biotech firms lack the capital required to develop these diagnostic tests. Premise 3: Mandatory outcome-based pricing forces small biotechs to license their compounds to large pharmaceutical conglomerates early in clinical development.
Establishing the causal sequence of constraints described in the stimulus.
2
Synthesize the premise chain to infer the final unstated consequence.
Because small biotechs must hand over their experimental therapies early to large conglomerates, commercial control and market presence shifts heavily away from independent biotechs toward large pharmaceutical corporations.
Completing the argument logically requires drawing the direct result of forced early-stage licensing without introducing outside assumptions.

Key Concept

Completing the Passage Logically
Question 1308Question →

If xx is a real number, is ∣x−2∣<3|x - 2| < 3?

(1) x2−4x+3<0x^2 - 4x + 3 < 0
(2) ∣x∣<4|x| < 4

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

Show answer & explanation

Answer: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Answer

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
The correct answer specifies that Statement (1) alone is sufficient while Statement (2) alone is not. Rephrasing the question stem shows that ∣x−2∣<3|x - 2| < 3 is equivalent to −1<x<5-1 < x < 5. Statement (1) yields 1<x<31 < x < 3, which lies entirely inside (−1,5)(-1, 5), guaranteeing a 'Yes' answer. Statement (2) yields −4<x<4-4 < x < 4, which allows values outside (−1,5)(-1, 5) (such as x=−2x = -2, giving 'No') as well as values inside (such as x=0x = 0, giving 'Yes'), so it is not sufficient.

Step-by-Step Solution

1
Rephrase the target question stem algebraically.
The inequality ∣x−2∣<3|x - 2| < 3 is equivalent to −3<x−2<3-3 < x - 2 < 3, which simplifies to −1<x<5-1 < x < 5. The question asks: Is xx strictly between −1-1 and 55?
Simplifying the target inequality establishes the exact boundary values needed for evaluation.
2
Evaluate Statement (1): x2−4x+3<0x^2 - 4x + 3 < 0.
Factoring the quadratic gives (x−1)(x−3)<0(x - 1)(x - 3) < 0, which holds when 1<x<31 < x < 3.
Since the interval (1,3)(1, 3) is entirely contained within the target range (−1,5)(-1, 5), every value of xx satisfying Statement (1) results in a definitive 'Yes' to the question. Thus, Statement (1) is sufficient.
3
Evaluate Statement (2): ∣x∣<4|x| < 4.
This absolute value inequality simplifies to −4<x<4-4 < x < 4.
If x=0x = 0, then −1<0<5-1 < 0 < 5 is True ('Yes'). If x=−2x = -2, then −1<−2<5-1 < -2 < 5 is False ('No'). Because Statement (2) allows both 'Yes' and 'No' outcomes, Statement (2) is not sufficient.

Key Concept

Inequalities, Absolute Values, and Number Ranges in Data Sufficiency
Question 1309Question →

In a GMAT Data Sufficiency 'Yes/No' question, if a statement allows us to establish conclusively that the answer to the question stem is 'No' under all permissible conditions, that statement is deemed insufficient because the outcome is negative.

Show answer & explanation

Answer: False

Answer

The statement is False. In GMAT Data Sufficiency, a statement that leads conclusively to a 'No' answer is sufficient.
The claim is false because sufficiency in GMAT Data Sufficiency Yes/No questions is defined by certainty, not by a positive outcome. A statement that proves a condition is always false produces a definitive 'No', which fulfills the requirement for sufficiency. Insufficiency occurs exclusively when a statement is ambiguous (i.e., yields 'Yes' under some cases and 'No' under others).

Step-by-Step Solution

1
Define sufficiency for a GMAT Data Sufficiency 'Yes/No' question
A statement is sufficient if it yields a single definitive answer (always 'Yes' or always 'No').
Data Sufficiency tests whether a conclusive determination can be made from the given information.
2
Evaluate the condition described in the prompt
The statement guarantees that the answer to the question stem is 'No' in 100% of cases.
Since there are no cases yielding a 'Yes', the outcome is consistent and unambiguous.
3
Compare the evaluated condition against the claim in the stem
The claim states that a definitive 'No' makes the statement insufficient, which contradicts Data Sufficiency rules.
Insufficiency occurs only when a statement allows both 'Yes' and 'No' outcomes (a 'Maybe').

Key Concept

Definitive Yes/No Sufficiency Rule
Question 1310Question →

Prior to 2022, technology firm X generated over 80 percent of its annual revenue from software licensing, with the remainder derived from consulting services. In 2022, Firm X introduced a cloud platform, offering it exclusively via usage-based subscriptions. By 2025, Firm X's total annual revenue was twice that of its 2021 revenue. However, its 2025 software licensing revenue had dropped by exactly 50 percent relative to 2021, while its consulting revenue remained unchanged. All 2025 cloud platform subscription revenues were generated from clients who had never previously purchased software licenses or consulting services from Firm X.

If the statements above are true, which of the following must also be true about Firm X in 2025?

Show answer & explanation

Answer: Clients who had never purchased products or services from Firm X prior to 2022 accounted for more than half of the firm's total annual revenue in 2025.

Answer

In 2025, clients who had never purchased products or services from Firm X prior to 2022 accounted for more than half of the firm's total annual revenue.
The correct choice must strictly follow from combining the mathematical premises. In 2021, licensing was over 80% of revenue and consulting was under 20%. In 2025, total revenue doubled (2R2R). Licensing revenue fell to half its 2021 level (under 40% of RR, or under 20% of 2R2R), while consulting revenue remained unchanged (under 20% of RR, or under 10% of 2R2R). Thus, all non-cloud revenue combined accounted for under 30% of 2025 total revenue (2R2R). Since all cloud platform revenue came from new clients who had never purchased from Firm X prior to 2022, these new clients generated over 70% of 2025 total revenue, which is strictly greater than half.

Step-by-Step Solution

1
Express the 2021 revenue breakdown algebraically.
Let RR be the total revenue in 2021. Software licensing revenue L2021>0.80RL_{2021} > 0.80R and consulting revenue C2021<0.20RC_{2021} < 0.20R, with L2021+C2021=RL_{2021} + C_{2021} = R.
Establishing 2021 baseline figures allows precise comparison with 2025 figures.
2
Calculate the maximum revenue generated in 2025 from clients who purchased products prior to 2022.
In 2025, total revenue is 2R2R. Licensing revenue L2025=0.50×L2021<0.40RL_{2025} = 0.50 \times L_{2021} < 0.40R. Consulting revenue C2025=C2021<0.20RC_{2025} = C_{2021} < 0.20R. Total revenue from returning client streams is L2025+C2025<0.40R+0.20R=0.60RL_{2025} + C_{2025} < 0.40R + 0.20R = 0.60R.
Since cloud subscription clients are strictly new clients, returning client revenue consists solely of licensing and consulting.
3
Calculate the minimum contribution of new cloud platform clients to 2025 total revenue.
Cloud platform subscription revenue P2025=2R−(L2025+C2025)>2R−0.60R=1.40RP_{2025} = 2R - (L_{2025} + C_{2025}) > 2R - 0.60R = 1.40R. As a fraction of 2025 total revenue (2R2R), cloud revenue is P20252R>1.40R2R=70%\frac{P_{2025}}{2R} > \frac{1.40R}{2R} = 70\%.
Comparing new client revenue to the 2025 total (2R2R) proves that new clients accounted for over 70% of total revenue, which is strictly greater than 50%.

Key Concept

Quantitative and Proportional Deductions in Logical Arguments
Question 1311Question →

Read the following argument carefully:

In an effort to reduce drug development costs, several biotechnology firms have proposed replacing traditional human clinical trials with advanced artificial intelligence predictive modeling. Many health policy analysts argue that this substitution will inevitably compromise patient safety because AI algorithms cannot account for rare biological interactions. However, this concern is largely misplaced. AI models are designed to synthesize vast genomic datasets that human researchers cannot process, identifying dangerous interactions far earlier in the development pipeline. Consequently, adopting predictive modeling will ultimately enhance, rather than diminish, drug safety protocols.

True or False statement: In the argument above, the first boldfaced statement provides evidence supporting the main position defended by the author, while the second boldfaced statement expresses that main position.

Show answer & explanation

Answer: False

Answer

The statement is False. The first boldfaced portion presents an opposing viewpoint that the author refutes, while the second boldfaced portion provides supporting premise evidence for the author's conclusion rather than stating the conclusion itself.
The evaluation statement is false because it completely reverses and misidentifies the rhetorical roles of both boldfaced portions. The first boldfaced statement introduces an objection raised by health policy analysts that the author rejects ('concern is largely misplaced'). The second boldfaced statement supplies premise evidence demonstrating how AI early-detection operates, which supports the author's main conclusion articulated in the final sentence.

Step-by-Step Solution

1
Identify the author's main conclusion and overall stance in the argument.
The main conclusion is the final sentence: 'adopting predictive modeling will ultimately enhance, rather than diminish, drug safety protocols.' The author supports the adoption of AI predictive modeling.
Locating the main conclusion is critical for evaluating how other claims in the passage relate to the author's position.
2
Determine the structural role of the first boldfaced statement.
The first boldfaced statement ('Many health policy analysts argue...') expresses an opposing position asserting that AI substitution compromises patient safety. The author disputes this in the next sentence ('However, this concern is largely misplaced').
This statement represents a counterargument that the author argues against, not evidence supporting the author's stance.
3
Determine the structural role of the second boldfaced statement.
The second boldfaced statement ('AI models are designed to synthesize vast genomic datasets...') provides a reason explaining why AI improves safety early on.
This statement serves as a supporting premise that leads to the final conclusion, not as the main conclusion itself.
4
Evaluate the truth value of the target statement.
Because both parts of the assertion incorrectly describe the roles of the boldfaced statements, the assertion is False.
A statement claiming that the first boldface supports the author and the second boldface is the main conclusion misidentifies both structural components.

Key Concept

Analyzing structural roles of boldfaced statements (distinguishing counterarguments, supporting premises, and main conclusions)
Question 1312Question →

Consider the following argument from a corporate governance debate:

Investor: 'The CEO's proposal to transition 20% of our delivery fleet to electric vehicles should be rejected. The CEO holds personal stock in an electric charging infrastructure firm, so this proposal is merely an attempt to advance her private financial interests rather than improve our operational efficiency.'

True or False: The investor's argument is vulnerable to criticism on the grounds that it commits an ad hominem flaw by dismissing a policy proposal based on the proponent's alleged personal motives rather than evaluating the proposal's intrinsic merits.

Show answer & explanation

Answer: True

Answer

True
The argument is flawed because it rejects a business proposal based entirely on an attack on the speaker's perceived self-interest rather than assessing the proposal's actual strategic or financial value. This directly matches the definition of an ad hominem flaw, making the evaluated statement True.

Step-by-Step Solution

1
Identify the conclusion and premise of the investor's argument.
Conclusion: The proposal to transition the fleet to electric vehicles should be rejected. Premise: The CEO owns stock in a charging infrastructure company and is trying to advance private financial interests.
Understanding the structural components of the argument isolates the basis of the investor's reasoning.
2
Analyze the logical link between the premise and conclusion for reasoning flaws.
The investor rejects the policy strictly by targeting the proponent's alleged motives, offering no operational or financial evidence against the fleet transition itself.
Dismissing a position based on the source's traits or motives is the defining characteristic of an ad hominem fallacy.
3
Evaluate the accuracy of the statement in the question stem.
The statement accurately classifies the reasoning vulnerability as an ad hominem flaw.
Since the argument attacks personal motives rather than evaluating policy merits, the statement is True.

Key Concept

Ad Hominem Flaw
Question 1313Question →

Telecommunication firms operating subsea fiber-optic cables currently rely on annual physical inspections by diving teams to detect outer armoring degradation. However, divers can only safely inspect shallow-water segments near coastal landings, leaving deep-sea stretches unexamined. To decrease catastrophic cable ruptures, a major operator plans to replace diving inspections with automated acoustic monitoring. This system emits continuous sonar pulses along the cable's internal core, detecting structural micro-fractures in the outer armoring across its entire length. The operator claims that implementing this technology will reduce the overall number of unexpected cable ruptures.

Which of the following, if true, provides the strongest support for the telecommunication operator's claim?

Show answer & explanation

Answer: A significant majority of deep-sea cable ruptures originate from gradual micro-fracturing of the outer armoring rather than sudden events such as undersea landslides.

Answer

The argument is most strengthened by establishing that a significant majority of deep-sea cable ruptures originate from gradual micro-fracturing of the outer armoring rather than sudden events such as undersea landslides.
The correct answer provides critical support by establishing that the primary cause of deep-sea cable ruptures is gradual micro-fracturing of the armoring. Because the acoustic monitoring system is specifically designed to detect micro-fractures along the entire cable length, proving that deep-sea failures stem from this specific defect confirms that expanding monitoring to deep waters will successfully detect impending failures and reduce overall ruptures.

Step-by-Step Solution

1
Deconstruct the argument into premise and conclusion.
Premise: Divers only inspect shallow waters; acoustic monitoring continuously monitors micro-fractures along the entire cable including deep-sea stretches. Conclusion: Replacing divers with acoustic monitoring will reduce overall unexpected cable ruptures.
Understanding the logical jump from premise to conclusion reveals the gap in the author's reasoning.
2
Identify the logical vulnerability/assumption in the argument.
The argument assumes that deep-sea ruptures are actually caused by micro-fractures (which the new system detects) and that monitoring deep water will yield actionable warnings before catastrophic failures occur.
If deep-sea ruptures are caused by sudden unpredictable events (like landslides) rather than micro-fractures, monitoring micro-fractures won't prevent those deep-sea failures.
3
Evaluate choices for the option that bridges this logical gap.
Confirming that deep-sea ruptures primarily stem from gradual micro-fractures directly links the capabilities of the acoustic technology to the stated goal of reducing total ruptures.
Validating this key assumption strengthens the causal link between implementing the monitoring system and preventing ruptures.

Key Concept

Strengthening Arguments via Assumption Confirmation
Estimated Time:2m 0s
Question 1314Question →

If aa and bb are non-zero real numbers, is ∣a+b∣<∣a∣+∣b∣|a + b| < |a| + |b|?

(1) a3b2<0a^3 b^2 < 0
(2) ∣a−b∣>∣a+b∣|a - b| > |a + b|

Which of the following describes the sufficiency of the statements?

Show answer & explanation

Answer: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

Answer

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
The correct response identifies that statement (2) alone provides enough information to answer the question, whereas statement (1) does not. Rephrasing the stem ∣a+b∣<∣a∣+∣b∣|a + b| < |a| + |b| reveals it is true if and only if aa and bb have opposite signs (ab<0ab < 0). Statement (1) only confirms that a<0a < 0, leaving the sign of bb unknown. Statement (2) can be squared to yield ab<0ab < 0, which conclusively answers the question with a 'Yes'.

Step-by-Step Solution

1
Rephrase the question stem
The inequality ∣a+b∣<∣a∣+∣b∣|a + b| < |a| + |b| holds if and only if aa and bb have opposite signs (i.e., ab<0ab < 0). If aa and bb have the same sign or if either is zero, ∣a+b∣=∣a∣+∣b∣|a + b| = |a| + |b|. Thus, the target question is: 'Is ab<0ab < 0?'
Simplifying absolute value properties reduces the stem to a straightforward sign comparison.
2
Evaluate Statement (1): a3b2<0a^3 b^2 < 0
Since b≠0b \neq 0, b2>0b^2 > 0 for all real numbers. Thus, a3b2<0a^3 b^2 < 0 implies a3<0a^3 < 0, which means a<0a < 0. However, bb can be either positive or negative. If b>0b > 0, then ab<0ab < 0 (YES). If b<0b < 0, then ab>0ab > 0 (NO).
Since statement (1) allows both a YES and a NO answer, Statement (1) ALONE is NOT sufficient.
3
Evaluate Statement (2): ∣a−b∣>∣a+b∣|a - b| > |a + b|
Square both sides (valid since both sides are non-negative): (a−b)2>(a+b)2  ⟹  a2−2ab+b2>a2+2ab+b2  ⟹  −2ab>2ab  ⟹  4ab<0  ⟹  ab<0(a - b)^2 > (a + b)^2 \implies a^2 - 2ab + b^2 > a^2 + 2ab + b^2 \implies -2ab > 2ab \implies 4ab < 0 \implies ab < 0.
Statement (2) directly proves that ab<0ab < 0, yielding a definitive YES to the question stem. Thus, Statement (2) ALONE is SUFFICIENT.

Key Concept

Absolute Value Distance and Sign Properties
Question 1315Question →

Municipal water authorities in a large urban district recently installed high-sensitivity acoustic sensors along major underground distribution conduits to detect structural micro-fractures before major pipe bursts occur. Although installing and maintaining these sensors requires a substantial initial financial investment, utility administrators conclude that deploying the network will decrease the city's total annual water infrastructure repair expenses over the next five years. Which of the following, if true, provides the strongest support for the utility administrators' conclusion?

Show answer & explanation

Answer: Addressing minor micro-fractures proactively costs a small fraction of the expense required to fix catastrophic pipe ruptures and repair surrounding municipal road infrastructure.

Answer

The statement showing that repairing minor micro-fractures proactively costs a small fraction of fixing catastrophic ruptures provides the strongest support for the conclusion.
The argument concludes that investing in acoustic sensors will lead to a net reduction in annual repair costs. To strengthen this claim, an option must show that early detection translates into cost savings that exceed the cost of the sensors and minor repairs. The statement explaining that repairing micro-fractures costs only a small fraction of repairing major burst damage provides this critical link, confirming substantial net savings.

Step-by-Step Solution

1
Deconstruct the argument core
Premise: Acoustic sensors detect micro-fractures early but require high upfront and maintenance investments. Conclusion: Sensor deployment will lower total annual infrastructure repair expenses over 5 years.
Understanding the gap between the cost of the intervention and the claimed net savings is essential.
2
Identify the unstated assumption required to strengthen the conclusion
The money saved by preventing major bursts must outweigh the cost of installing sensors and fixing micro-fractures.
To prove a net decrease in spending, the savings mechanism must be financially validated.
3
Evaluate the choices for logical impact
Demonstrating that proactive micro-fracture repairs cost only a small fraction of catastrophic burst repairs confirms that early detection yields substantial net savings.
This establishes that the financial benefit directly exceeds the expenditure required for implementation.

Key Concept

Strengthening a financial trade-off argument by confirming that cost savings exceed implementation expenses.
Question 1316Question →

Six months ago, a maritime freight company equipped its fleet of cargo ships with automated wind sails designed to reduce diesel fuel consumption. Over this period, the fleet recorded only a 2 percent drop in fuel consumption per nautical mile, far short of the manufacturer's advertised 10 percent reduction. Nevertheless, the company's logistics analysts conclude that the wind sails successfully provided fuel savings consistent with expectations.

Which of the following, if true, most strongly supports the logistics analysts' conclusion?

Show answer & explanation

Answer: During the past six months, new maritime regulations required the fleet to increase its average cargo weight per trip by 25 percent, an adjustment that typically increases fuel consumption per nautical mile by at least 8 percent.

Answer

The argument is most strongly supported by the statement indicating that increased cargo weight during the trial period would normally have raised fuel consumption by at least 8 percent.
The correct answer demonstrates that an unmentioned confounding factor—a 25 percent increase in cargo weight—would normally have increased fuel consumption by at least 8 percent per nautical mile during the trial period. If fuel consumption would have increased to 108 percent of baseline without the sails, but instead decreased to 98 percent (a 2 percent overall drop), the sails actually achieved an effective savings of approximately 10 percent, perfectly matching the original expectations.

Step-by-Step Solution

1
Identify the conclusion and premises of the argument.
Premise: The fleet saw only a 2% reduction in fuel consumption per nautical mile instead of the expected 10%. Conclusion: The wind sails were nevertheless effective and delivered fuel savings consistent with expectations.
Understanding the discrepancy between the observed 2% reduction and the expected 10% reduction is necessary to find information that resolves the gap.
2
Determine what type of evidence is needed to strengthen the conclusion.
Evidence showing that external factors increased baseline fuel usage during the trial period would account for the missing savings percentage.
If baseline fuel consumption would have risen in the absence of the sails, the observed 2% net drop represents a much larger gross savings than it appears.
3
Evaluate the choices to find the statement that accounts for this baseline change.
The option stating that heavier cargo loads would normally increase fuel consumption by 8% establishes that without sails, fuel usage would have been 108% of normal. A net drop to 98% means the sails achieved a 10% effective reduction.
This confirms the analysts' conclusion by establishing that the sails performed exactly as expected once confounding variables are controlled.

Key Concept

Strengthening Causal and Evaluative Arguments by Controlling Confounding Variables
Question 1317Question →

A local coffee shop recently introduced a loyalty reward card system, offering customers a free drink after every ten drinks purchased. Since introducing the card system three months ago, the coffee shop's overall sales volume has increased by 15 percent. The shop owner concludes that the new loyalty reward card system is directly responsible for this increase in sales.

Which of the following, if true, most seriously weakens the shop owner's conclusion?

Show answer & explanation

Answer: Two months ago, a major corporate office building directly across the street opened, bringing thousands of new employees to the block daily.

Answer

The argument is most weakened by the finding that a major corporate office building directly across the street opened two months ago, bringing thousands of new employees to the block daily.
The argument commits a classic correlation-to-causation leap, assuming that because sales increased after the loyalty card was introduced, the loyalty card must have caused the increase. Pointing out that a major office complex opened across the street provides a strong alternative explanation for the increased sales volume, thereby undermining the conclusion that the loyalty card was the primary cause.

Step-by-Step Solution

1
Identify the conclusion and premises
Premise: Sales increased 15% after introducing loyalty cards. Conclusion: The loyalty card system caused the sales increase.
Understanding the precise causal claim is essential for evaluating weaken questions.
2
Determine the unstated assumption
The author assumes no other major factor occurred at the same time that could account for the 15% increase in sales.
Causal arguments rely on the assumption that correlation implies causation and that alternative causes are absent.
3
Evaluate the choices for an alternative cause
The opening of a large office complex nearby provides a clear alternative explanation for why coffee sales surged during that period.
Presenting an plausible alternative cause directly casts doubt on the claim that the loyalty card was responsible.

Key Concept

Alternative Explanation in Causal Reasoning
Question 1318Question →

If mm and nn are real numbers such that mn≠0mn \neq 0, is ∣m+n∣m>1\frac{|m + n|}{m} > 1?

(1) m<0m < 0

(2) n>2∣m∣n > 2|m|

Show answer & explanation

Answer: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Answer

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
The option stating that Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient is correct. For Statement (1), since m<0m < 0 and the absolute value ∣m+n∣|m + n| is always non-negative, the quotient ∣m+n∣m\frac{|m + n|}{m} is non-positive (≤0\le 0). Therefore, it can never be greater than 1, giving a definitive 'No' to the question stem, which makes Statement (1) sufficient. For Statement (2), mm can be positive (yielding a 'Yes') or negative (yielding a 'No'), making Statement (2) insufficient.

Step-by-Step Solution

1
Analyze the target question stem and constraints.
The absolute value ∣m+n∣|m + n| is always non-negative (∣m+n∣≥0|m + n| \ge 0). The target asks whether ∣m+n∣m>1\frac{|m + n|}{m} > 1.
Establishing the properties of the numerator and denominator helps simplify the condition.
2
Evaluate Statement (1): m<0m < 0.
Since ∣m+n∣≥0|m + n| \ge 0 and m<0m < 0, dividing a non-negative number by a negative number yields a result that is less than or equal to 0 (∣m+n∣m≤0\frac{|m + n|}{m} \le 0). Thus, the expression can never be greater than 1, yielding a definitive 'No'.
A definitive 'No' answer means Statement (1) alone IS SUFFICIENT.
3
Evaluate Statement (2): n>2∣m∣n > 2|m|.
Since 2∣m∣>02|m| > 0, nn must be positive. Test cases for mm:
- Case 2a: If m=1m = 1, then n>2n > 2. Let n=3n = 3. Then ∣1+3∣1=4>1\frac{|1 + 3|}{1} = 4 > 1 (Answer: YES).
- Case 2b: If m=−1m = -1, then n>2(1)=2n > 2(1) = 2. Let n=3n = 3. Then ∣−1+3∣−1=2−1=−2≯1\frac{|-1 + 3|}{-1} = \frac{2}{-1} = -2 \ngtr 1 (Answer: NO).
Since both 'Yes' and 'No' are possible, Statement (2) alone is NOT SUFFICIENT.
Testing cases with positive and negative values of mm shows that Statement (2) does not yield a unique answer.

Key Concept

Data Sufficiency Yes/No Decision Logic with Signed Denominator and Absolute Value Properties
Estimated Time:2m 0s
Question 1319Question →

In an effort to lower operational expenses, several transatlantic cargo carriers retrofitted their fleets with automated wind-assisted propulsion sails. Although these sails reduce fuel consumption by up to 12 percent during open-ocean transit, deploying and recalibrating them in heavily congested coastal waters requires keeping two additional certified deck officers on shift. In port-dense maritime corridors where coastal navigation accounts for over 60 percent of total voyage time, the cumulative wage premiums for these extra officers exceed the total monetary value of fuel saved throughout the journey. Adopting this wind-assist technology will therefore fail to reduce overall voyage costs on port-dense routes unless ______.

Which of the following most logically completes the passage?

Show answer & explanation

Answer: the operational requirement for extra certified deck officers during coastal navigation can be eliminated through automated sail adjustments

Answer

Adopting the wind-assist technology will fail to reduce overall voyage costs unless the operational requirement for extra certified deck officers during coastal navigation can be eliminated through automated sail adjustments.
The argument establishes a clear financial equation: wind-assisted sails reduce fuel costs, but using them in coastal waters imposes an officer wage premium. On port-dense routes, coastal navigation dominates the journey (>60%), causing officer wage premiums to exceed total fuel savings. Therefore, the technology cannot achieve its goal of reducing overall voyage costs unless the primary cost obstacle—the requirement for extra officers during coastal transit—is eliminated.

Step-by-Step Solution

1
Analyze the premises and identify the core financial trade-off.
Fuel savings (up to 12% in open ocean) vs. Officer wage costs (2 extra officers needed during coastal navigation).
Understanding what drives costs establishes what must change for the conclusion to hold.
2
Evaluate the specific condition on port-dense routes.
Coastal navigation is >60% of voyage time, making officer wage premiums greater than total fuel savings.
The net result on port-dense routes is currently a net financial loss due specifically to extra officer wages.
3
Deduce the necessary condition to complete the conclusion logically.
To turn a net loss into a net cost reduction, the factor causing the excess expense (extra officer requirement during coastal transit) must be removed or neutralized.
The conclusion states the technology will fail to reduce overall costs 'unless [X]'; [X] must directly overcome or remove the cost impediment.

Key Concept

Completing an argument by identifying a necessary condition that resolves an operational trade-off.
Question 1320Question →

A ten-year study of commercial aviation maintenance facilities revealed that facilities adopting a novel AI-driven diagnostic system experienced a 35 percent drop in unscheduled engine repairs compared to facilities relying exclusively on traditional human technician inspections. The researchers concluded that the real-time predictive analytics of the AI diagnostic system directly prevented mechanical failures by detecting micro-wear patterns earlier than human inspectors could. Which of the following would it be most useful to investigate in order to evaluate the validity of the researchers' conclusion?

Show answer & explanation

Answer: Whether the facilities that adopted the AI diagnostic system simultaneously instituted a policy replacing engine components based on fixed operational hours rather than waiting for detected wear.

Answer

It would be most useful to determine whether facilities adopting the AI system simultaneously instituted a fixed-hour component replacement policy.
The correct answer provides information about a potential confounding variable. To establish that AI diagnostic analytics caused the 35 percent drop in unscheduled repairs, one must rule out other concurrent changes that could produce the exact same outcome. If the facilities using AI also switched to replacing engine components after a fixed number of operational hours, those scheduled replacements would prevent component failures before unscheduled repairs became necessary, rendering the AI system's micro-wear detection redundant or irrelevant to the observed statistical drop.

Step-by-Step Solution

1
Deconstruct the core argument
Premise: Facilities using AI diagnostics had 35% fewer unscheduled engine repairs than facilities using human inspectors. Conclusion: AI diagnostic analytics directly caused the reduction by detecting micro-wear early.
Evaluating a causal claim requires identifying the premise (correlation/observed difference) and the conclusion (causal attribution).
2
Identify the logical vulnerability
The argument assumes that no third factor (confounding variable) introduced concurrently with the AI system was responsible for preventing the unscheduled repairs.
Causal claims based on comparative facility outcomes are vulnerable to alternative explanations or co-occurring operational changes.
3
Evaluate the impact of the key question
If facilities adopting AI also began replacing components at fixed operational intervals, that routine maintenance policy—rather than AI early detection—could explain why engines rarely failed unscheduled. If they did not institute such a policy, the causal link to AI detection is strengthened.
Determining the presence of a co-occurring preventive measure directly tests whether an alternative cause explains the observed effect.

Key Concept

Evaluating Causal Claims via Alternative Explanations and Confounding Variables
Estimated Time:2m 0s
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