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Question 321Question →

Match each flawed argument (which lacks a necessary premise to be logically valid) with the sufficient assumption that, if added to the premises, would allow its conclusion to be properly drawn.

Click a left item, then click its matching right item

Items

Only candidates with a significant background in international relations were considered for the ambassadorial position. Ms. Vance was considered for the position. Thus, it is certain that Ms. Vance is fluent in at least three languages.
Several of the medieval manuscripts found in the northern monastery feature a unique dialect. This specific dialect was not written by any scribe native to the northern province. Hence, some of the manuscripts found in the northern monastery must have been transported there from outside the province.
If the regulatory bill passes, the cost of raw materials will rise. If the cost of raw materials rises, smaller production firms will be compelled to merge. Consequently, if the regulatory bill passes, there will inevitably be a subsequent drop in the sector's innovation metrics.

Matches

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Answer

The correct matches pair the ambassadorial argument with the rule connecting international background to fluency, the manuscript argument with the rule about non-native dialects implying outside transportation, and the regulatory bill argument with the rule linking firm mergers to innovation drops.
Each correct pair successfully identifies the unstated premise that mathematically guarantees the truth of the conclusion when added to the existing premises. The ambassadorial argument requires a direct link from background to fluency. The manuscript argument requires a universal rule linking non-native origins to outside transportation. The regulatory argument requires the final link in a conditional chain from merging to an innovation drop.

Step-by-Step Solution

1
Analyze the ambassadorial argument (Argument 1).
Premises: Vance was considered, and considered candidates have an international relations background. Conclusion: Vance is fluent in three languages.
To identify the deductive gap, which is the missing link between 'international relations background' and 'fluency in three languages'.
2
Match the logical gap for Argument 1.
The assumption 'All persons possessing a significant background in international relations are fluent in at least three languages' correctly bridges this gap.
It acts as the universal sufficient condition to logically guarantee the conclusion about Ms. Vance.
3
Analyze the manuscript argument (Argument 2).
Premises: Manuscripts feature a dialect not written by native scribes. Conclusion: Manuscripts were transported from outside the province.
To identify the deductive gap, which is the rule stating that possessing non-native dialects implies the document was transported from outside.
4
Match the logical gap for Argument 2.
The assumption 'Any document featuring a dialect not written by native scribes of a given region must have been transported there from outside that region' provides the required universal rule.
It perfectly bridges the premise's facts to the conclusion's categorical claim.
5
Analyze the regulatory bill argument (Argument 3).
Premises form a chain: Bill passes -> Costs rise -> Firms merge. Conclusion: Bill passes -> Innovation drops.
To isolate the missing final link in the logical chain, which is 'Firms merge -> Innovation drops'.
6
Match the logical gap for Argument 3.
The assumption 'Whenever smaller production firms are compelled to merge, there is a subsequent drop in the sector's innovation metrics' supplies the missing link.
It completes the conditional chain, mathematically guaranteeing the conclusion.

Key Concept

Sufficient Assumption (Identifying the missing logical bridge that makes a conclusion 100% valid)
Question 322Question →

Below are four distinct arguments that rely on unstated conditional rules. Pair each argument with the corresponding overarching principle that conclusively bridges the gap between its premises and its conclusion.

Click a left item, then click its matching right item

Items

The city council's decision to subsidize the new solar farm is unjustified. Although the solar farm will significantly reduce regional carbon emissions, it will neither create local jobs nor reduce energy costs for residents.
The university is ethically permitted to revoke the honorary degree it awarded to the billionaire. While the billionaire has committed no statutory violations, he recently engaged in a highly public smear campaign against a respected climate scientist.
The governor ought to veto the proposed infrastructure bill. It is true that the bill has widespread bipartisan support and would repair failing bridges across the state. However, it also includes a provision that would weaken environmental review standards for future projects.
The streaming service should not cancel the sci-fi series after its first season. Admittedly, the show's viewership numbers are far below the threshold typically required for renewal, and production costs are exorbitant. But the series has cultivated a small, intensely loyal fanbase that would likely cancel their subscriptions if the show is axed.

Matches

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Answer

The solar farm subsidy scenario pairs with the principle on allocating public funds; the honorary degree scenario pairs with the principle on withdrawing prestige; the infrastructure bill scenario pairs with the principle on blocking legislation; and the streaming service scenario pairs with the principle on sustaining an unprofitable product line.
Each scenario presents an argument with a logical gap between its premises and its normative conclusion. To justify each conclusion, a universal principle must establish a sufficient formal condition that guarantees the outcome based strictly on the provided premises. The correct pairings align the specific factual situations with highly abstract conditional rules that logically demand those precise outcomes.

Step-by-Step Solution

1
Deconstruct the solar farm argument to isolate the logical gap.
The premises state there are no local economic benefits, leading to the conclusion that the subsidy is unjustified. The required principle must connect a lack of local economic benefit to an illegitimate action.
Identifying the exact premise-to-conclusion flow is necessary before evaluating abstract principles.
2
Evaluate the principles to find a sufficient condition for the solar farm argument.
The principle stating that allocating public funds is illegitimate 'unless it provides tangible financial or occupational advantages' matches perfectly.
The 'unless' formulation means that if the advantages are NOT present, the allocation MUST be illegitimate, logically guaranteeing the conclusion.
3
Analyze the honorary degree and streaming service arguments.
The degree argument requires a rule that attacking an expert permits revoking an honor. The streaming argument requires a rule that causing loyal patrons to leave forbids cancellation.
Determining the directionality of the required rules prevents falling for illegal reversals.
4
Match the remaining arguments to their respective highly abstract principles.
The degree argument matches the rule on withdrawing a 'symbol of prestige' due to attacks on a 'professional reputation.' The streaming argument matches the rule on sustaining an 'unprofitable product line' to avoid losing a 'minority of consumers.' The infrastructure bill matches the rule on a leader blocking a 'legislative package.'
Mapping the specific vocabulary of the scenarios to the generalized categorical terms of the principles confirms the structural alignment.

Key Concept

Principle - Justify
Question 323Question →

Match each of the following argumentative scenarios with the universal principle that, if assumed to be valid, most strongly justifies its conclusion.

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Items

Dr. Vance adjusted the dosage timing in her clinical trial without notifying the oversight board. Therefore, the medical journal must refuse to publish her trial data.
Although the director sold his shares just days before the company collapsed, he was entirely unaware of the firm's financial distress. Thus, he should not be fined for illegal trading.
The new electric vehicle battery is manufactured using renewable energy, but its disposal leaks toxic heavy metals into soil. Consequently, eco-minded buyers should avoid purchasing it.
To meet the federal grant deadline, the mayor bypassed the required public comment period before signing the park renovation bill. Hence, the park renovation bill is legally void.

Matches

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Answer

The correct pairings link each specific scenario to the broad conditional rule that connects its premises directly to its conclusion, ensuring the conclusion logically follows.
Each correct pair successfully provides a sufficient bridging principle. A 'justify the conclusion' question requires a rule that, when added to the premises, makes the conclusion 100% valid. The matched principles act as universal rules that logically guarantee the specific conclusions drawn in their respective scenarios.

Step-by-Step Solution

1
Analyze each scenario to identify the premise (the evidence) and the conclusion (the final claim).
Identified the logical gap in each argument (e.g., jumping from 'unnotified adjustment' to 'must refuse publication').
Understanding the gap is required to know what the missing bridging principle must look like.
2
Formulate a hypothetical 'If Premise, Then Conclusion' rule for each scenario.
Created generic bridging rules for scientific ethics, corporate penalties, environmental purchases, and legal validity.
A sufficient principle must cover the specific conditions in the premise and guarantee the outcome in the conclusion.
3
Match the formulated rules to the provided universal principles.
Successfully paired each scenario with the principle that acts as its logical bridge.
This confirms that the selected principle operates logically to justify the scenario's conclusion.

Key Concept

Principle - Justify
Estimated Time:2m 0s
Question 324Question →

Match each flawed argument stimulus to the abstract description of the logical error it commits.

Click a left item, then click its matching right item

Items

A recent industry survey revealed that tech companies that adopted open-plan offices over the last decade saw a 30 percent increase in overall employee productivity. Based on this data, it is clear that removing physical barriers like walls and cubicles directly causes employees to work more efficiently and collaborate better.
The city's updated zoning regulations clearly stipulate that any commercial building designed by a registered architect will be approved for construction in the downtown sector. The new community recreation center was approved for construction there last month, so we can be certain that it must have been designed by a registered architect.
During her campaign, the mayoral candidate emphatically promised to bring unprecedented transparency to the local city council and its operations. Since she has installed floor-to-ceiling transparent glass for all the walls in her new executive office, she has clearly fulfilled her primary campaign promise to the voters.
An industry report noted that our company's overall market share in the competitive organic beverage sector increased from 10 percent to 20 percent during the third quarter. Therefore, we must have sold exactly twice as many beverage units this quarter as we did in the previous quarter.

Matches

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Answer

The open-plan office argument matches the correlation/causation flaw; the zoning regulation argument matches the sufficient/necessary flaw; the campaign promise argument matches the equivocation flaw; and the beverage market share argument matches the proportion/quantity flaw.
Each flawed argument exhibits a classic LSAT logical vulnerability. The open-plan office argument commits a causal flaw. The zoning law argument commits a conditional logic flaw. The political promise argument equivocates on a word's meaning. The beverage company argument confuses percentages with absolute numbers.

Step-by-Step Solution

1
Analyze the first argument regarding open-plan offices.
Identifies that a simultaneous occurrence (open plans and increased productivity) is used to claim a direct cause.
This aligns with the classic flaw of confusing correlation with causation.
2
Analyze the second argument regarding building approval.
Identifies conditional logic where 'designed by architect (sufficient) -> approved' is reversed to 'approved -> designed by architect (necessary)'.
This represents treating a sufficient condition as a necessary one, an illegal reversal.
3
Analyze the third argument regarding political transparency.
Identifies that 'transparency' means political openness in the premise, but physical see-through material in the conclusion.
This matches the definition of equivocation, or shifting the meaning of a key term.
4
Analyze the fourth argument regarding market share.
Identifies that market share (a percentage) does not guarantee absolute sales volume (a number), since the total market size could have shrunk.
This demonstrates the flaw of confusing proportions with absolute quantities.

Key Concept

Identifying abstract patterns of flawed reasoning across different contexts
Estimated Time:2m 0s
Question 325Question →

Match each logical argument on the left with the necessary supporter assumption on the right that correctly bridges the gap between its premise and its conclusion.

Click a left item, then click its matching right item

Items

According to classical utilitarianism, only policies that maximize aggregate happiness are considered morally justified. Therefore, the recently proposed healthcare legislation is not morally justified.
Avian species that build their nests exclusively on the ground are highly susceptible to predation by invasive mammals. Thus, the indigenous ground-weaver bird is highly susceptible to such predation.
A startup company cannot secure Series B funding unless it has demonstrated consistent month-over-month user growth for a year. It follows that NovaTech will not secure Series B funding this quarter.
Only artifacts forged before the Bronze Age collapse can accurately be classified as true Minoan relics. Consequently, the newly discovered copper shield cannot be classified as a true Minoan relic.

Matches

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Answer

The utilitarian argument pairs with the legislation failing to maximize happiness. The avian argument pairs with the ground-weaver bird nesting on the ground. The startup argument pairs with NovaTech lacking consistent growth. The artifact argument pairs with the shield not being forged before the collapse.
Each correct match successfully bridges the logical gap between the argument's premises and its conclusion. By formally linking the 'rogue' subject introduced in the conclusion to the conditional rules provided in the premises, the assumptions validate the inferences (often by satisfying the sufficient condition or triggering the contrapositive).

Step-by-Step Solution

1
Analyze the formal logic of each argument's premise to identify sufficient and necessary conditions.
Identified conditional rules such as 'Morally Justified → Maximizes Happiness' and 'Nests on Ground → Susceptible to Predation'.
Supporter assumptions often rely on completing conditional chains or triggering contrapositives.
2
Examine the conclusion of each argument to determine what new element has been introduced.
Identified specific subjects in the conclusions: 'healthcare legislation', 'ground-weaver bird', 'NovaTech', and 'copper shield'.
The new subject in the conclusion must be explicitly linked to the rule established in the premise.
3
Formulate the missing link (supporter assumption) that legally connects the new subject to the established conditional rule.
Generated the required bridging statements to validate the argument.
This guarantees the truth of the conclusion based on the premise.
4
Match each logically generated assumption to the corresponding statement on the right.
Successfully paired each argument with its required supporter assumption.
Finalizes the matching process.

Key Concept

Bridging Gap (Supporter) Assumptions in Formal Logic
Question 326Question →

Match each flawed causal argument to the correct description of the logical fallacy it commits.

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Items

Immediately after the new software update was installed, the computer network crashed. Therefore, the software update caused the crash.
People who use wheelchairs have a much higher rate of physical disability than those who do not. Clearly, using a wheelchair causes physical disabilities.
People who are seen carrying umbrellas are much more likely to be wearing rainboots. Thus, carrying an umbrella causes one to wear rainboots.
Eating excessive amounts of sugar is known to cause weight gain. Therefore, anyone who has gained weight must have eaten excessive amounts of sugar.

Matches

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Answer

The correct pairings match each specific argument with its corresponding causal flaw: temporal sequence to post hoc, wheelchair use to reversed causality, umbrellas/rainboots to a common third factor, and sugar/weight gain to assuming a sole cause.
Each argument perfectly demonstrates one specific causal fallacy. Matching them requires identifying the structural gap between the evidence provided and the causal conclusion drawn.

Step-by-Step Solution

1
Analyze the first argument regarding the software update.
Identify that the only evidence provided for causation is that the update happened immediately before the crash.
This matches the flaw of assuming causation based solely on a temporal sequence.
2
Analyze the second argument regarding wheelchair use.
Recognize that physical disability leads to wheelchair use, but the argument claims the opposite.
This represents the flaw of reversing the actual direction of cause and effect.
3
Analyze the third argument regarding umbrellas and rainboots.
Identify that rainy weather causes people to use both umbrellas and rainboots.
This matches the flaw of ignoring a common third factor that causes both phenomena.
4
Analyze the fourth argument regarding sugar and weight gain.
Note that while sugar causes weight gain, other factors can also cause weight gain.
This demonstrates the flaw of treating one possible cause as the only possible cause.

Key Concept

Identifying and categorizing distinct types of causal logical flaws.
Question 327Question →

Match each observed scenario to the abstract description of the apparent discrepancy it presents.

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Items

Despite a nationwide campaign that successfully reduced average daily screen time among teenagers, the incidence of sleep deprivation in this demographic sharply increased.
A city heavily subsidized public transit to reduce road traffic, and while transit ridership doubled, the average commute time for drivers on the roads also increased.
A company introduced a strict four-day workweek to reduce employee burnout, yet the number of stress-related medical leaves taken by its employees doubled.
A restaurant reduced its portion sizes by 25% while keeping prices exactly the same, but its overall quarterly profit dropped significantly.

Matches

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Answer

The correct pairings are: 'Screen time reduction' with 'reduction in a personal habit...'; 'Public transit subsidy' with 'shift to alternative infrastructure...'; 'Four-day workweek' with 'organizational policy...'; and 'Reduced portion sizes' with 'cost-saving measure...'.
Each correct pair accurately distills the specific situational facts of the stimulus into an abstract representation of the logical tension, demonstrating the ability to strip away the contextual 'dressing' of a paradox to identify the underlying structural discrepancy.

Step-by-Step Solution

1
Analyze the first scenario regarding screen time and sleep deprivation.
Identify the core tension: a presumed positive behavioral change led to a negative physiological outcome.
To match it with the abstract description of a personal habit and health outcome.
2
Analyze the second scenario regarding public transit and traffic.
Identify the core tension: increased use of an alternative system did not alleviate the strain on the original system.
To match it with the description involving alternative and original infrastructures.
3
Analyze the third scenario regarding the four-day workweek.
Identify the core tension: a structural workplace change intended to reduce stress was followed by increased stress indicators.
To match it with the description of an organizational policy and occupational hazard.
4
Analyze the fourth scenario regarding restaurant portion sizes.
Identify the core tension: increasing the margin per item sold corresponded with lower overall profit.
To match it with the description of a cost-saving measure and total financial gains.

Key Concept

Abstracting the structural logic of a paradox from its specific subject matter.
Question 328Question →

Review the four distinct arguments provided below. For each argument, identify the corresponding abstract principle that, if assumed to be true, logically guarantees the argument's conclusion.

Click a left item, then click its matching right item

Items

The board of directors must immediately terminate the CEO. Although the CEO's authorization of a massive stock buyback generated a temporary spike in share prices, the maneuver severely depleted the company's emergency cash reserves, leaving the firm vulnerable to market downturns.
The navigation algorithms of the autonomous delivery drone complied completely with aviation standards. Because an unpredictable wind shear fundamentally altered the drone's trajectory, causing it to crash into a pedestrian, the drone's manufacturer is entirely free of blame for the incident.
The university's ethics committee must formally sanction Professor Lin. While Lin's recent sociological study yielded unprecedented and groundbreaking insights into crowd psychology, the data was gathered utilizing intentionally deceptive interview techniques.
The newly implemented tariff on imported steel is a fundamentally sound economic policy. Although it will inevitably trigger an increase in domestic construction costs, the tariff successfully shields local steelworkers from the threat of widespread unemployment.

Matches

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Answer

The correct pairings successfully map the specific factual premises of each argument to a generalized, abstract rule that functions as a sufficient assumption, conclusively guaranteeing the stated conclusion.
Each abstract principle functions as a perfect sufficient bridge. By substituting the concrete terms from the scenarios (e.g., 'CEO', 'wind shear', 'tariff') into the abstract logical variables of the corresponding principles (e.g., 'leadership capacity', 'unforeseeable environmental anomalies', 'economic directive'), the arguments are transformed into valid deductive syllogisms.

Step-by-Step Solution

1
Analyze the Corporate Argument
Identify the gap: Action boosted share prices but depleted cash reserves -> Must terminate CEO. Match with the Fiduciary principle.
The Fiduciary principle provides the exact conditional rule needed: If you compromise foundational security (reserves) for transient enhancement (stock spike), you must be relieved of leadership (terminated).
2
Analyze the Drone Argument
Identify the gap: Compliant algorithms + unpredictable wind shear -> Manufacturer blameless. Match with the Liability principle.
The Liability principle formally establishes that functioning within guidelines (compliant algorithms) + unforeseeable environmental anomalies (wind shear) equates to no culpability (blameless).
3
Analyze the Ethics Argument
Identify the gap: Deceptive techniques used + groundbreaking insights gained -> Must sanction. Match with the Ethical Breach principle.
The Ethical Breach principle mandates penalties for ethical breaches (deception) regardless of the magnitude of benefits (groundbreaking insights).
4
Analyze the Tariff Argument
Identify the gap: Protects local jobs + increases construction costs -> Sound economic policy. Match with the Economic principle.
The Economic principle explicitly states that preventing domestic employment loss justifies a directive, even if it escalates material expenses.

Key Concept

Abstract Formalization of Sufficient Principles
Estimated Time:3m 0s
Question 329Question →

Analyze the reasoning in each of the following flawed arguments. Match each argument with the abstract description that most accurately identifies its logical flaw.

Click a left item, then click its matching right item

Items

Every brick used in the construction of the new civic center is exceptionally small and fragile. It necessarily follows that the civic center as a whole will be exceptionally small and fragile.
Some of the firm's legal advisors are proficient in corporate tax law, and some of the people proficient in corporate tax law are also expert litigators. Thus, at least some of the firm's legal advisors must be expert litigators.
A recent public health study revealed that municipalities with a high concentration of fitness centers also have unusually high rates of locally-owned health food stores. This demonstrates that opening fitness centers in a municipality stimulates the creation of health food stores.
To receive a highly competitive research grant from the foundation, a scientist must have conducted experiments involving human subjects. Dr. Vance has conducted multiple experiments involving human subjects. Therefore, Dr. Vance will certainly be awarded the research grant.

Matches

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Answer

The civic center argument matches the part-to-whole flaw. The legal advisors argument matches the overlapping sets quantifier flaw. The fitness centers argument matches the correlation-causation flaw. The research grant argument matches the necessary/sufficient condition flaw.
Each argument represents a classic logical flaw commonly tested on the LSAT. By abstracting the specific subject matter and focusing entirely on the reasoning structure of each stimulus, we can accurately identify the corresponding abstract flaw description. This is a matching question, so all valid rationales are detailed in the correct pairs.

Step-by-Step Solution

1
Analyze the first argument regarding the civic center's bricks.
The argument moves from a characteristic of the components to a characteristic of the entire structure.
Identifying the premise-to-conclusion relationship reveals a classic part-to-whole (composition) flaw.
2
Analyze the second argument regarding the legal advisors and litigators.
The argument incorrectly assumes two distinct groups must overlap just because they both overlap with a common third group.
Diagramming the 'some' statements shows that the intersection of the two outer groups is logically unsupported.
3
Analyze the third argument regarding fitness centers and health food stores.
The argument takes a statistical correlation and concludes there is a direct causal relationship.
The premise only establishes that two things happen simultaneously, but the conclusion unjustifiably claims one causes the other without ruling out alternative explanations.
4
Analyze the fourth argument regarding the research grant.
The argument treats a strict requirement for an outcome as a guarantee of that outcome.
Translating the conditional language reveals an illegal reversal flaw, confusing necessary and sufficient conditions.

Key Concept

Parallel Flaw
Estimated Time:2m 0s
Question 330Question →

Below are four short arguments that exhibit different errors in reasoning. Connect each argument on the left with the abstract principle on the right that best explains why its conclusion does not logically follow.

Click a left item, then click its matching right item

Items

Anyone who masters classical guitar must practice for hours every day. Since Elena practices for hours every day, she will inevitably master classical guitar.
The proposed nutritional guidelines were authored by Dr. Aris, who was recently criticized for his abrasive personality in interviews. Thus, the guidelines must be scientifically inaccurate.
A recent survey reveals that neighborhoods with a high number of community gardens also have very low crime rates. It must be that the presence of community gardens actively deters criminal activity.
Every individual chapter in this historical novel is quite short, taking only a few minutes to read. Therefore, the historical novel as a whole must be very short.

Matches

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Answer

Elena's guitar practice matches the necessary/sufficient flaw; Dr. Aris's guidelines matches the personal attack (ad hominem); The community gardens argument matches the correlation/causation flaw; The historical novel argument matches the part-to-whole flaw.
Each argument contains a classic logical fallacy that precisely aligns with its corresponding abstract description. The guitar argument represents an illegal reversal, the nutrition argument is an ad hominem attack, the garden argument confuses correlation with causation, and the novel argument commits a part-to-whole fallacy.

Step-by-Step Solution

1
Analyze the classical guitar argument.
Identified that it treats a requirement (practice) as a guarantee (mastery).
To map this to the abstract description of confusing necessary and sufficient conditions.
2
Analyze the nutritional guidelines argument.
Identified that it attacks the author's personality rather than the proposal's scientific merit.
To map this to the abstract description of a source argument (ad hominem) flaw.
3
Analyze the community gardens argument.
Identified that it assumes one thing causes another just because they happen together.
To map this to the abstract description of a correlation vs. causation error.
4
Analyze the historical novel argument.
Identified that it applies a property of the individual chapters (parts) to the book (whole).
To map this to the abstract description of a part-to-whole (composition) flaw.

Key Concept

Identifying and abstracting logical flaws in arguments
Estimated Time:2m 0s
Question 331Question →

Below are four excerpts from public policy and economic debates. For each argument on the left, identify the single factual statement on the right that, if true, would pose the most severe logical challenge to the speaker's conclusion.

Click a left item, then click its matching right item

Items

Mayor: Following the implementation of our new enterprise zone policies, which offer tax abatements to manufacturing firms relocating to the city, the commercial vacancy rate in the industrial district plummeted. It is evident that the tax abatements successfully stimulated the local industrial real estate market.
Transit Advocate: Constructing a dedicated bus rapid transit (BRT) lane along the main northern arterial road will certainly alleviate current traffic bottlenecks. The BRT lane will run directly parallel to the most congested route, offering an efficient commuting alternative for the 40,000 drivers who use that road daily.
Financial Advisor: Data from the past decade shows that start-up tech companies are twice as likely to fold within their first three years as start-up hospitality businesses. Therefore, investors seeking to minimize their overall financial exposure should prioritize funding hospitality start-ups over tech start-ups.
Environmental Critic: The municipal ban on single-use plastic bags has clearly failed to achieve its primary goal of reducing the total amount of non-biodegradable waste generated by residents. According to the city's own sanitation records, the total tonnage of non-biodegradable waste collected last year was 5% higher than the year before the ban took effect.

Matches

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Answer

Mayor matches with the port modernization; Transit Advocate matches with tradespeople needing vehicles; Financial Advisor matches with asset liquidation differences; Environmental Critic matches with municipal boundary expansion.
Each correct pairing links a specific logical flaw in the speaker's argument to a factual statement that perfectly exploits that gap. The Mayor's causal flaw is attacked by an alternate cause (the port). The Transit Advocate's assumption of feasibility is attacked by a practical barrier (need to haul equipment). The Financial Advisor's equivocation is attacked by separating failure rate from financial loss magnitude. The Environmental Critic's use of raw numbers is attacked by shifting the baseline population.

Step-by-Step Solution

1
Analyze the Mayor's argument.
Identified a causal claim: Tax abatements caused the drop in vacancy rates.
To find the weak point, which in causal arguments is often an alternate explanation for the observed effect.
2
Match the Mayor's argument to a weakening statement.
Matched with the port modernization statement.
The port modernization provides a compelling alternate cause for the industrial real estate boom, directly undermining the conclusion that tax abatements were responsible.
3
Analyze the Transit Advocate's argument.
Identified a practical assumption: The 40,000 drivers can and will switch to the new bus lane.
To weaken a proposed solution, one must show why it is unfeasible or why the intended users cannot adopt it.
4
Match the Transit Advocate's argument to a weakening statement.
Matched with the tradespeople statement.
If 80% of the drivers require their vehicles for bulky equipment, they cannot switch to a bus, rendering the proposed solution ineffective.
5
Analyze the Financial Advisor's argument.
Identified a gap in terminology: Equating failure rate with total financial exposure.
To weaken arguments that shift terms between the premise and conclusion, find evidence that distinguishes the two concepts.
6
Match the Financial Advisor's argument to a weakening statement.
Matched with the asset liquidation statement.
This shows that a higher failure rate does not equate to higher financial exposure, as tech failures allow for capital recovery while hospitality failures do not.
7
Analyze the Environmental Critic's argument.
Identified a numbers vs. proportions flaw: Using a total volume increase to claim a per-capita efficiency program failed.
To weaken claims relying on total raw numbers to judge a rate or proportion, find a factor that skews the baseline, such as population growth.
8
Match the Environmental Critic's argument to a weakening statement.
Matched with the municipal boundaries statement.
A 20% population increase easily accounts for a 5% increase in total waste, indicating the per-capita waste actually decreased, meaning the ban likely succeeded.

Key Concept

Identifying and exploiting specific structural flaws in logical arguments, including causal leaps, unstated assumptions of feasibility, term equivocation, and number vs. percentage errors.
Question 332Question →

Match each of the following incomplete arguments with the sufficient assumption that, if added as a premise, would logically guarantee its conclusion.

Click a left item, then click its matching right item

Items

Because the national transit subsidy was repealed, commuting costs for suburban residents will rise. Consequently, retail sales in suburban districts will sharply decline.
The soil in the eastern valley contains unusually high levels of iridium. Therefore, the valley must have been the site of a prehistoric meteorite impact.
The proposed zoning ordinance will allow for the construction of high-density housing units. Thus, the ordinance will successfully reduce the city's average rent prices.
The disciplinary board reached its verdict without allowing the accused to cross-examine witnesses. As a result, the board's verdict is procedurally invalid.

Matches

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Answer

Argument 1 matches with the rising commuting costs assumption. Argument 2 matches with the iridium explanation assumption. Argument 3 matches with the high-density housing assumption. Argument 4 matches with the cross-examination assumption.
Each correct pairing provides the exact conditional relationship needed to bridge the logical gap in the argument. By explicitly stating that the premise condition guarantees the conclusion condition, the assumption renders the argument completely valid.

Step-by-Step Solution

1
Analyze each incomplete argument to identify the stated premise and the final conclusion.
Isolated the logical gap in each argument (e.g., in the first argument, the gap is between rising commuting costs and declining retail sales).
Identifying the gap is necessary to know what the missing bridge must be.
2
Scan the available assumptions for conditional statements that link the premise terms directly to the conclusion terms.
Found corresponding conditional or universal statements for each argument's specific vocabulary.
A sufficient assumption must guarantee the conclusion, typically by forming a direct logical link from the evidence to the claim.
3
Verify that applying the chosen assumption to the premise definitively proves the conclusion without any remaining loopholes.
Each matched assumption forces its respective conclusion to be true.
Ensures the assumption is logically sufficient rather than merely necessary.

Key Concept

Sufficient Assumption
Question 333Question →

Match each logical stimulus argument (left) with the specific supporter assumption (right) required to bridge the logical gap between its premise and conclusion.

Click a left item, then click its matching right item

Items

The newly excavated artifacts at the Oakhaven site contain elevated levels of isotopic strontium. Therefore, the individuals buried there were not born in the local region.
The central bank has prioritized stabilizing currency valuation over stimulating job growth. Consequently, the country's manufacturing sector will continue to contract.
The Alpine Marmot population has started hibernating three weeks later than historical averages. This indicates that the region's overall snowpack volume has significantly decreased.
Professor Vance publicly disclosed confidential corporate misconduct out of a desire for personal fame. Therefore, her whistleblowing action lacked moral justification.

Matches

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Answer

The correct pairings connect each argument's specific premise to its novel conclusion: the archaeology argument pairs with the assumption about native individuals and strontium; the economics argument pairs with the job stimulation assumption; the biology argument pairs with the marmot hibernation assumption; and the ethics argument pairs with the assumption about personal recognition.
Each correct assumption functions as a deductive bridge. By connecting the disconnected terminology in the premise to the novel terminology introduced in the conclusion, the assumption closes the logical gap and allows the argument's inference to be validly drawn.

Step-by-Step Solution

1
Analyze each stimulus to identify the premise and the conclusion.
Isolated the evidence provided and the final claim made for each argument.
Understanding the structure of the argument is necessary to spot the logical gap.
2
Identify the 'rogue' terms in each argument's conclusion.
Found new concepts in the conclusions (e.g., 'moral justification', 'not born in the local region') that did not appear in the premises.
Supporter assumptions must bridge the logical gap by connecting these rogue terms back to the premise evidence.
3
Match the rogue terms to the assumptions that logically connect them to the premises using formal conditional logic.
Successfully paired each argument with the assumption that guarantees the conclusion when added to the premise.
This validates the argument, fulfilling the definition of a necessary and sufficient supporter assumption.

Key Concept

Bridging Gap (Supporter) Assumptions
Estimated Time:2m 0s
Question 334Question →

Analyze the four arguments below. Match each argument (Left) to the specific piece of new evidence (Right) that most severely weakens its conclusion by exposing its underlying logical flaw.

Click a left item, then click its matching right item

Items

A recent study found that employees who take frequent short walks during the workday report significantly lower levels of stress. Therefore, to decrease overall employee stress, the corporation should mandate daily short walks for all staff.
The number of traffic accidents involving electric scooters in the city has tripled this year compared to last year. Clearly, riding an electric scooter has become significantly more dangerous for the individual rider.
A survey of readers of 'Peak Athletics' magazine revealed that 80% of respondents prefer plant-based protein supplements over whey protein. Thus, a vast majority of the general athletic population is shifting toward plant-based diets.
The municipal government can either expand the downtown highway system or suffer from continuously worsening traffic congestion. Since expanding the highway would completely exhaust the municipal budget, the city will inevitably suffer from worsening traffic.

Matches

Show answer & explanation

Answer

Argument 1 (stress) matches with the evidence regarding high-pressure project assignments. Argument 2 (scooters) matches with the evidence of the sixfold increase in total miles traveled. Argument 3 (survey) matches with the evidence of subscription bias among plant-based consumers. Argument 4 (traffic) matches with the evidence regarding neighboring municipalities optimizing bus networks.
Each argument contains a distinct, classic logical flaw. The correct counter-evidence directly exploits the specific gap in that argument. The workplace stress argument assumes causality from a correlation, which is weakened by showing reverse causality. The scooter argument confuses absolute numbers with proportional rates, which is weakened by a massive increase in total riders. The magazine survey argument relies on an unrepresentative sample, which is weakened by showing the sample is inherently biased. The traffic argument restricts the possibilities to a false dilemma, which is weakened by demonstrating a successful alternative option.

Step-by-Step Solution

1
Analyze the workplace stress argument to identify its logical gap.
The argument relies on a correlation-to-causation jump, assuming walks cause reduced stress rather than the reverse.
Identifying the causal flaw directs you to look for evidence that suggests reverse causation or a third variable.
2
Select the evidence that attacks the causal flaw in the stress argument.
The evidence stating highly stressed employees are prohibited from taking breaks perfectly exploits this gap.
It shows that stress levels determine the ability to walk, completely undermining the recommendation to mandate walks to cure stress.
3
Evaluate the electric scooter argument's reasoning.
The argument commits a numbers-to-percentages error, assuming an increase in total accidents means an increase in individual risk (rate).
To weaken a numbers-to-rates argument, you must find evidence altering the baseline or total population.
4
Select the evidence that addresses the baseline for the scooter argument.
The evidence regarding the sixfold increase in total scooter miles directly attacks this flaw.
If use increased 6x but accidents only increased 3x, the danger per rider has actually dropped, destroying the conclusion.
5
Examine the survey argument and the traffic argument.
The survey argument relies on an unrepresentative sample, while the traffic argument relies on a false dilemma (only two options).
Identifying these specific structural flaws makes the remaining matches clear.
6
Match the remaining arguments to their respective weakeners.
The survey argument matches the evidence showing magazine subscribers are disproportionately plant-based (exposing the sample bias). The traffic argument matches the evidence showing bus optimization as a third option (breaking the false dilemma).
Each piece of evidence surgically targets the distinct vulnerability of its paired argument.

Key Concept

Identifying and exploiting specific structural vulnerabilities (flaws) in logical arguments.
Question 335Question →

Match each statistical paradox or logical discrepancy described below with the structural analysis that best resolves the paradox or identifies the underlying mathematical flaw.

Click a left item, then click its matching right item

Items

A university's science and arts faculties both individually reported higher acceptance rates for female applicants than for male applicants. Yet, the university's overall combined acceptance rate was significantly higher for males than for females.
A national park reported that 90% of bear encounters happen within 100 feet of marked hiking trails. A local blogger concluded from this data that hiking deep into the unmarked wilderness is a much safer way to avoid bears.
A software company noted that users who downloaded an optional 'system optimizer' plug-in experienced system crashes twice as often as users who did not. Critics argue the plug-in introduces fatal bugs into the software.
A corporate CEO proudly announced that the proportion of total company revenue spent on executive compensation dropped from 5% to 3% over the last five years. However, financial analysts accurately noted that executives are taking home significantly more money now than five years ago.

Matches

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Answer

Match the university scenario to subgroup aggregation (Simpson's Paradox), the bear encounter scenario to baseline population distribution, the software plug-in scenario to self-selection bias, and the CEO scenario to shifting denominators (fractional share vs. absolute quantity).
Each correct pairing accurately links a specific statistical phenomenon to its underlying structural reality. The university scenario requires recognizing how weighted averages behave across uneven groups. The bear scenario requires understanding how base rates dictate raw outcome volumes. The software scenario requires spotting selection bias in observational data. The executive compensation scenario requires distinguishing relative proportions from absolute figures.

Step-by-Step Solution

1
Analyze the university admissions paradox.
Identify that a rate can be higher in all subgroups but lower overall only if the group sizes and baseline success rates differ drastically.
This is a classic manifestation of Simpson's Paradox, matched with the resolution describing 'subgroups of disparate sizes'.
2
Evaluate the bear encounter conclusion.
Recognize that comparing raw counts (or percentages of total outcomes) without accounting for the number of people in each area creates a logical flaw.
The resolution must point out the missing 'baseline population distribution'—there are simply more people near trails.
3
Examine the software optimizer correlation.
Identify that the two variables (optimizer use and crashes) are correlated, but the cause and effect are likely reversed due to who chooses to use the software.
The 'self-selection bias' resolution perfectly explains why the affected demographic actively seeks the intervention.
4
Assess the CEO's compensation claim.
Spot the discrepancy between a decreasing percentage (5% to 3%) and an increasing absolute amount.
This requires the structural rule that a smaller fraction of a much larger whole can yield a larger absolute quantity.

Key Concept

Resolving Statistical and Proportional Paradoxes
Estimated Time:2m 0s
Question 336Question →

Analyze the following four arguments. Match each flawed argument stimulus with the abstract description that most accurately identifies its reasoning error.

Click a left item, then click its matching right item

Items

Sports Physiologist: A recent decade-long study found that athletes who frequently use cryogenic recovery chambers are significantly less likely to suffer from chronic joint pain. This demonstrates that cryogenic therapy directly prevents joint degradation.
Software Developer: The lead engineer claims that our new authentication protocol is vulnerable to attacks because it lacks rate limiting. However, she is just upset about being passed over for a promotion last month, so her security assessment should be ignored.
Acoustics Engineer: Each individual acoustic panel installed in the new concert hall is lightweight and absorbs only a small fraction of ambient noise. Therefore, the concert hall's soundproofing system as a whole must be highly ineffective at absorbing noise.
Chief Financial Officer: Either we completely freeze all hiring across every department this quarter, or the company will inevitably go bankrupt by the end of the year. We desperately need to fill several key vacant roles, so bankruptcy is unavoidable.

Matches

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Answer

The correct pairings are: the Sports Physiologist commits a correlation-causation error, the Software Developer makes an ad hominem attack, the Acoustics Engineer commits a composition (part-to-whole) error, and the Chief Financial Officer relies on a false dilemma.
Each argument stimulus perfectly demonstrates a classic logical fallacy. The Sports Physiologist jumps from correlation to causation. The Software Developer attacks the speaker's motives instead of the argument. The Acoustics Engineer applies properties of individual parts to the collective whole. The Chief Financial Officer creates a false dichotomy.

Step-by-Step Solution

1
Analyze the Sports Physiologist's argument to identify the gap between the premise and conclusion.
The premise is a correlation ('found that athletes who... are significantly less likely'), and the conclusion is causal ('directly prevents'). This maps to the correlation-causation flaw description.
Identifying the shift from association to causation is key to recognizing this archetype.
2
Examine the Software Developer's rebuttal of the lead engineer.
The rebuttal focuses entirely on the engineer's emotional state regarding a promotion, rather than addressing the technical claim about rate limiting. This matches the source/motive attack description.
An ad hominem flaw requires noting when an argument's substance is ignored in favor of attacking the speaker.
3
Evaluate the Acoustics Engineer's reasoning regarding the sound system.
The argument moves from the characteristics of an 'individual acoustic panel' to the 'soundproofing system as a whole'. This perfectly aligns with the composition flaw description.
Structural flaws often involve improper leaps between parts and wholes.
4
Deconstruct the Chief Financial Officer's conclusion.
The CFO sets up an 'either/or' scenario and eliminates one extreme option to force the other. It ignores the possibility of moderate limits, matching the false dilemma description.
When a conclusion depends on a strict binary choice, the flaw usually involves overlooking middle-ground alternatives.

Key Concept

Identifying Abstract Flaws in Reasoning
Question 337Question →

Review the flawed logical structures in the brief arguments provided below. Pair each argument with the abstract description that most accurately pinpoints its logical error.

Click a left item, then click its matching right item

Items

Any novel that wins the prestigious Vanguard Award must have a compelling narrative structure. Since The Sapphire Horizon has a deeply compelling narrative structure, it is assured to win the Vanguard Award.
Most of the planets in the newly discovered star system are gas giants, and most gas giants have extensive ring systems. Thus, some of the planets in the newly discovered star system must have extensive ring systems.
Corporations that offer comprehensive wellness programs consistently report lower employee turnover rates. Therefore, implementing a comprehensive wellness program will directly reduce a corporation's employee turnover.
Each plank of wood used to construct the custom bookshelf is incredibly lightweight. As a result, the fully assembled bookshelf will be incredibly lightweight.

Matches

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Answer

The arguments logically pair with their respective abstract flaw descriptions.
Each argument perfectly models one specific archetype of logical fallacy. The novel argument exhibits an illegal reversal. The planets argument demonstrates quantifier overreach. The wellness program argument shows a correlation/causation error. The bookshelf argument illustrates the fallacy of composition.

Step-by-Step Solution

1
Analyze the Vanguard Award novel argument.
Identified as confusing a necessary condition with a sufficient condition.
The argument states that a compelling narrative is required (necessary) to win, but then assumes having it guarantees (sufficient) a win.
2
Analyze the gas giant planets argument.
Identified as making an unwarranted inference about overlapping majorities.
It assumes that because two sets both overlap with a majority of a middle set, they must overlap with each other, which is mathematically invalid.
3
Analyze the corporate wellness programs argument.
Identified as confusing correlation with causation.
The argument observes two things happening together and immediately concludes one causes the other, without ruling out alternative explanations.
4
Analyze the custom bookshelf argument.
Identified as a composition flaw (part-to-whole).
It wrongly assumes that a physical property of individual components (lightweight) will directly apply to the completed whole.

Key Concept

Parallel Flaw
Question 338Question →

Examine the brief arguments provided below. Each argument exhibits a distinct logical flaw. Match each argument on the left with the abstract description that most accurately identifies its error in reasoning.

Click a left item, then click its matching right item

Items

To become a certified master chef, one must demonstrate exceptional knife skills. Since Julian possesses extraordinary knife skills, he is clearly qualified to be a certified master chef.
A recent study of urban commuters found that individuals who listen to classical music on their way to work report significantly lower stress levels. Thus, the soothing tempo of classical music actively reduces occupational stress.
The newly formed architectural firm is composed entirely of designers who have won prestigious individual awards for innovation. Therefore, the firm as a whole will undoubtedly produce innovative, award-winning collaborative projects.
The city planner argued that the new public transit system is highly reliable because it utilizes well-tested, durable train cars. However, the trains are frequently delayed by signaling issues, so the transit system is clearly not reliable.

Matches

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Answer

The chef argument matches the necessary/sufficient flaw description; the commuter argument matches the correlation/causation flaw; the architect argument matches the part-to-whole flaw; and the transit system argument matches the equivocation flaw.
Each correct pairing accurately links a specific, flawed argument to its formal abstract logical description. The first argument exhibits a conditional logic flaw by treating a requirement as a guarantee. The second demonstrates a causal flaw by assuming a correlation implies causation. The third shows a fallacy of composition by assuming the firm will inherit the traits of its individual designers. The fourth displays equivocation by using the term 'reliable' in two different ways.

Step-by-Step Solution

1
Analyze the first argument regarding the master chef to identify its structural flaw.
Identified as confusing a necessary requirement with a sufficient guarantee.
Conditional logic errors are a primary category of logical flaws, often confusing what is required with what is enough.
2
Examine the second argument about commuters and classical music.
Identified as assuming causation from a mere correlation.
Observational studies often present correlated variables that do not necessarily have a direct causal link, as other factors could be involved.
3
Evaluate the third argument concerning the architectural firm.
Identified as inappropriately applying characteristics of individuals to the group they form.
Properties of parts do not automatically transfer to the whole, which is known as the fallacy of composition.
4
Assess the fourth argument about the public transit system.
Identified as shifting the meaning of the word 'reliable' mid-argument.
Logical consistency requires key terms to maintain the exact same definition throughout the premises and conclusion; shifting meanings creates an equivocation flaw.

Key Concept

Parallel Flaw
Estimated Time:1m 30s
Question 339Question →

Analyze the logical structures of the following four excerpts from various disciplines. Which abstract description best identifies the logical flaw in each argument? Match each flawed argument to its corresponding reasoning error.

Click a left item, then click its matching right item

Items

The newly appointed director of the historical archives argued that the institution must become more accessible to the public. Thus, by investing heavily in physical ramps and widening the museum's doorways, the director is demonstrably fulfilling her mandate for greater accessibility.
According to classical taxonomy, any marine organism exhibiting bilateral symmetry and a closed circulatory system will invariably possess a defined central nervous system. The abyssal creature C. luminosa possesses a central nervous system; therefore, it undeniably exhibits bilateral symmetry and a closed circulatory system.
In the intricate design of the revolutionary quantum processor, each individual superconducting qubit operates with a negligible error rate. Consequently, the processor in its entirety, which synchronizes thousands of such qubits, must also operate with a negligible overall error rate.
The collapse of the civic theater initiative stems from either a deficit in philanthropic funding or profound community disinterest. Yet municipal financial records reveal an unprecedented surge in philanthropic arts donations this year. Therefore, the initiative's collapse was undoubtedly caused by profound community disinterest.

Matches

Show answer & explanation

Answer

The archives argument pairs with the equivocation flaw; the taxonomy argument pairs with the sufficient-necessary confusion; the quantum processor argument pairs with the composition flaw; and the civic theater argument pairs with the false dilemma.
Each argument exhibits a distinct structural flaw that corresponds to a specific abstract description. The archives argument shifts the meaning of a key term. The taxonomy argument illegitimately reverses a conditional statement. The quantum argument assumes the whole shares the exact property of its parts. The theater argument ignores alternative explanations, presenting a false dichotomy.

Step-by-Step Solution

1
Analyze the historical archives argument to identify its structural flaw.
The term 'accessible' changes meaning from conceptual availability to physical entry.
Identifying shifted terminology is necessary to match it with the ambiguity/equivocation description.
2
Evaluate the taxonomy argument to determine the logical error in its conditional reasoning.
The argument affirms the necessary condition (central nervous system) to falsely conclude the sufficient conditions (bilateral symmetry).
This reveals a classic illegal reversal, matching the description of confusing necessary and sufficient conditions.
3
Examine the quantum processor argument for flaws relating to the scope of its conclusion.
The argument wrongly attributes the property of the individual parts (qubits) directly to the complex whole (the processor).
This fits the structural definition of a composition flaw.
4
Analyze the civic theater argument to spot the error in its disjunctive conclusion.
The argument ignores other potential causes for the initiative's failure beyond funding and disinterest.
This confirms the presence of an unwarranted assumption that the stated alternatives are exhaustive, which is a false dilemma.

Key Concept

Parallel Flaw
Question 340Question →

Match each of the following short passage excerpts to the statement that most accurately expresses its implicit main point.

Click a left item, then click its matching right item

Items

Electric vehicles (EVs) produce zero tailpipe emissions, which is crucial for reducing urban air pollution. However, the mining of lithium and cobalt required for their batteries often leads to severe water contamination and soil degradation in developing nations.
The proposed tax cut would put more money in the hands of consumers, theoretically boosting retail sales. Yet, independent analysts warn that the resulting deficit would force severe reductions in funding for public infrastructure and education.
Artificial intelligence can analyze medical scans much faster than human doctors, potentially accelerating diagnosis. However, algorithmic biases present in the training data have been shown to misdiagnose certain demographic groups at alarmingly high rates.

Matches

Show answer & explanation

Answer

The first passage matches with the statement about green technology and ecological costs. The second passage matches with the statement about fiscal strategy and civic institutions. The third passage matches with the statement about analytical tools and fairness of outcomes.
Each correct match requires synthesizing the first sentence (a stated benefit) and the second sentence (a contrasting drawback) of the excerpt to identify the unstated overall conclusion.

Step-by-Step Solution

1
Analyze the first passage
Identified the topic as environmental technology (EVs) and the structure as a benefit followed by a significant ecological drawback.
To synthesize the implicit main point of the first text.
2
Find the matching statement for the first passage
Matched with the statement about a 'green technology' involving 'hidden ecological costs'.
This statement accurately captures both premises of the first passage.
3
Analyze the second passage
Identified the topic as an economic policy (tax cut) and the structure as a short-term retail benefit contrasted with a long-term infrastructure threat.
To synthesize the implicit main point of the second text.
4
Find the matching statement for the second passage
Matched with the statement regarding a 'fiscal strategy' threatening 'civic institutions'.
This statement summarizes the trade-offs presented in the second passage.
5
Analyze the third passage
Identified the topic as medical technology (AI) and the structure as speed benefits contrasted with bias risks.
To synthesize the implicit main point of the third text.
6
Find the matching statement for the third passage
Matched with the statement about 'analytical tools' improving speed but compromising 'fairness'.
This statement encompasses the nuanced conclusion implied by the third passage's premises.

Key Concept

Implicit Main Point Synthesis
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