All practice questions

3960 questions

Question 1421Question →

Financial Analyst: In 2021, investments in renewable energy startups accounted for 22 percent of all venture capital funding deployed in the energy sector. By 2025, that figure had dropped to 14 percent. Conversely, the share of energy sector venture funding going to traditional fossil fuel companies rose from 8 percent to 15 percent over the same period. This proportional shift demonstrates a change in investor focus. Therefore, it is clear that venture capitalists are funneling a smaller absolute amount of money into renewable energy startups today than they were in 2021.

Which of the following most accurately describes a flaw in the financial analyst's reasoning?

Show answer & explanation

Answer: It takes for granted that a reduction in a category's percentage of a total necessarily signifies a reduction in the absolute quantity of that category.

Answer

The correct answer is the option stating that the argument takes for granted that a reduction in a category's percentage of a total necessarily signifies a reduction in the absolute quantity of that category.
The argument commits a classic Numbers and Percentages flaw. It observes a decrease in the percentage of total funding allocated to renewable energy (from 22% to 14%) and directly concludes that the absolute amount of money has decreased. This reasoning is flawed because it fails to account for the overall size of the funding pool. If the total venture capital deployed in the energy sector tripled between 2021 and 2025, then 14% of the new total would be a substantially larger absolute amount of money than 22% of the old total. The correct option perfectly identifies this unwarranted mathematical assumption.

Step-by-Step Solution

1
Analyze the structure of the argument to identify the premises and the main conclusion.
Premises: Renewable energy's share of funding dropped from 22% to 14%, while fossil fuels' share rose. Conclusion: The absolute amount of money funneled into renewable energy is less than it was in 2021.
Separating premises from the conclusion is essential for evaluating logical validity.
2
Evaluate the logical connection between the evidence provided and the claim made.
The premises exclusively provide information about the percentage (market share) of total funding, whereas the conclusion makes a definitive claim about the absolute amount of funding (total dollars).
Identifying the gap between the type of evidence (proportions) and the conclusion (absolute numbers) reveals the core logical vulnerability.
3
Determine what missing information would be required to logically justify the conclusion.
To definitively know if the absolute amount of funding decreased, one must know the total amount of venture capital funding deployed in both 2021 and 2025.
If the total funding pool grew massively, a smaller percentage of the new total could still yield a much larger absolute amount of money than the larger percentage of the old total.
4
Select the option that accurately describes this specific mathematical and logical vulnerability.
The correct option identifies that the argument conflates a decrease in proportion with a decrease in absolute quantity.
This choice precisely matches the logical gap without misrepresenting the argument's structure or claims.

Key Concept

Percentages vs. Numbers Flaws
Question 1422Question →

An art historian is evaluating several necessary assumptions underlying a controversial proposal to restore a Renaissance sculpture. To test the validity of these assumptions using the Negation Technique, match each candidate assumption on the left with the logically precise negated statement on the right that would be used to evaluate whether the argument's conclusion is destroyed.

Click a left item, then click its matching right item

Items

Every chemical solvent currently used in the restoration process alters the original microscopic texture of the marble.
The proposed laser ablation technique requires an environment with precisely zero airborne particulates.
Some of the previously applied synthetic resins have caused irreversible discoloration to the deeper pigment layers.
If the restoration committee approves the intervention, the historical authenticity of the sculpture will be permanently compromised.

Matches

Show answer & explanation

Answer

Match the Universal affirmative to the Particular negative (Every -> At least one does not), the Required condition to Possibility without (Requires -> Can be executed without), the Existential to the Universal negative (Some -> None), and the Conditional to Sufficient without Necessary (If A then B -> A could happen without B).
Applying the Negation Technique requires producing the precise logical contradictory of a statement. Creating a negation that is too strong (e.g., negating 'some' as 'all do not' is correct, but negating 'all' as 'none' is a flaw) will distort the evaluation of the argument.

Step-by-Step Solution

1
Analyze the logical structure of the first assumption (Every...).
Identify it as a universal affirmative statement.
To correctly negate a universal claim, we must not use another universal (like 'None'); we must show that the universal rule is broken by at least one exception.
2
Analyze the logical structure of the second assumption (requires).
Identify it as presenting a necessary condition.
The negation technique tests if the argument survives without the assumption. If the technique can be executed without the requirement, the assumption is successfully negated.
3
Analyze the third assumption (Some...).
Identify it as an existential statement (meaning 'at least one').
The logical opposite of 'at least one is' is 'exactly zero are' (None).
4
Analyze the fourth assumption (If... then...).
Identify it as a conditional relationship.
To falsify a conditional claim, we must demonstrate that the trigger (sufficient condition) can occur without guaranteeing the outcome (necessary condition).

Key Concept

Applying the Negation Technique
Question 1423Question →

Consider the following argument:

Nutritionist: Many office workers consume heavily sweetened energy drinks to improve their focus during afternoon slumps. However, these drinks contain high levels of refined sugars, which lead to a rapid spike in blood glucose followed by a severe crash. This crash leaves workers feeling significantly more fatigued than they were before consuming the beverage. Therefore, drinking these energy drinks actually decreases a worker's overall productivity during the workday.

It is a necessary assumption of the nutritionist's argument that the initial improvement in focus from the energy drink does not result in a productivity gain that outweighs the productivity lost during the subsequent crash.

Show answer & explanation

Answer: True

Answer

True. The statement correctly identifies an unstated premise strictly required for the argument's conclusion to hold.
The argument concludes that overall productivity decreases despite an initial improvement in focus. For a net decrease to occur, the negative impact of the crash must be greater than the positive impact of the initial focus. Therefore, the argument must assume that the initial gain does not outweigh the subsequent loss. Applying the Negation Test confirms this: if the initial gain DID outweigh the loss, overall productivity would increase, destroying the conclusion.

Step-by-Step Solution

1
Identify the argument's main conclusion.
The conclusion is the final sentence: drinking energy drinks actually decreases a worker's overall productivity during the workday.
Understanding the main point is required to evaluate what assumptions are strictly necessary to support it.
2
Identify the premises and opposing factors provided in the stimulus.
The premises are: 1) the drinks cause an initial improvement in focus, and 2) the sugars cause a severe crash that leaves workers significantly more fatigued.
Isolating the evidence reveals the logical gap between the competing premises (a benefit vs. a drawback) and the definitive conclusion.
3
Apply the Negation Test to the provided statement.
The logically negated statement is: 'The initial improvement in focus DOES result in a productivity gain that outweighs the productivity lost during the subsequent crash.'
The Negation Test is the definitive method for confirming whether an assumption is strictly required by the argument.
4
Evaluate the effect of the negated statement on the argument's conclusion.
If the positive effects outweigh the negative effects, overall productivity would increase (or at least remain net positive), which completely destroys the conclusion that overall productivity decreases.
Since negating the statement invalidates the argument, the original statement is a necessary assumption.

Key Concept

Applying the Negation Test to identify necessary assumptions involving trade-offs and net outcomes.
Estimated Time:1m 30s
Question 1424Question →

A recent study of manufacturing firms revealed that those adopting AI-driven predictive maintenance on their assembly lines experienced a 30 percent reduction in unexpected equipment failures over two years, compared to firms relying on traditional scheduled maintenance. The analysts conducting the study concluded that the AI software directly causes this reduction by detecting microscopic wear and tear before it leads to critical breakdowns.

The analysts' argument depends on assuming which one of the following?

Show answer & explanation

Answer: The firms that adopted the AI-driven predictive maintenance did not simultaneously upgrade to entirely new, inherently more reliable assembly line machinery.

Answer

The correct answer is the option stating that the firms did not simultaneously upgrade to inherently more reliable machinery.
The argument concludes that the AI software caused the reduction in equipment failures based on a correlation between adopting the software and experiencing the reduction. To definitively claim the AI software was the direct cause, the argument must implicitly assume there were no other simultaneous changes that could explain the improvement. The correct answer rules out a major alternate cause: if the firms upgraded to new, more reliable machinery at the exact same time they adopted the AI, the new machinery could be responsible for the drop in failures. By asserting this simultaneous upgrade did not happen, this assumption defends the argument's causal claim.

Step-by-Step Solution

1
Identify the core argument components.
Premise: Firms using AI maintenance had a 30% reduction in failures compared to those using traditional maintenance. Conclusion: The AI software caused this reduction.
Deconstructing the stimulus into premises and conclusion is the first step to finding logical gaps.
2
Identify the logical flaw or gap in the reasoning.
The argument observes a correlation (AI adoption and reduced failures) and assumes a direct causal relationship, ignoring the possibility of a third variable or alternate cause.
Causal conclusions based on observational studies are inherently vulnerable to alternate explanations.
3
Evaluate the options using the Negation Technique to find the necessary assumption.
Negating the correct option yields: 'The firms DID simultaneously upgrade to entirely new, inherently more reliable machinery.' This provides an alternate cause for the drop in failures, entirely destroying the conclusion that the AI software was the cause.
A necessary assumption is a statement that must be true for the argument to survive; negating it must make the argument collapse.

Key Concept

Ruling out alternate causes (Defender Assumption)
Question 1425Question →

Software Executive: Over the past three years, the percentage of our company's total revenue generated by mobile applications has steadily declined. In contrast, the percentage of our total revenue generated by enterprise software has grown. Therefore, it is clear that our mobile applications are bringing in less money than they did three years ago.

Which one of the following most accurately describes a flaw in the software executive's reasoning?

Show answer & explanation

Answer: draws a conclusion about a decrease in an absolute quantity based solely on evidence regarding a decreasing share of a total

Answer

The correct answer identifies that the argument draws a conclusion about an absolute quantity (actual money brought in) based entirely on a percentage (share of total revenue).
The correct answer accurately describes the logical vulnerability in the executive's reasoning. A percentage is a relative value. A smaller percentage of a much larger total pie can equate to a larger absolute slice than a bigger percentage of a smaller pie. By concluding that the mobile apps are bringing in 'less money' (an absolute quantity) based solely on the fact that their 'percentage' of total revenue dropped, the author commits a fundamental numbers-versus-percentages fallacy.

Step-by-Step Solution

1
Identify the premise of the argument.
The premise is that the percentage of total revenue from mobile applications has declined, while the percentage from enterprise software has grown.
Understanding the exact nature of the evidence (proportions vs. absolute numbers) is required to evaluate the logic.
2
Identify the conclusion drawn by the executive.
The conclusion is that mobile applications are bringing in less money (an absolute amount) than they did three years ago.
Isolating the conclusion allows us to spot the logical leap from the premise.
3
Analyze the relationship between the premise and the conclusion.
The argument assumes that a smaller percentage of a whole guarantees a smaller absolute number, failing to consider that the total size of the whole (overall revenue) may have increased.
This reveals the classic 'Percentages vs. Numbers' flaw, which is the exact vulnerability asked for in the question stem.

Key Concept

Percentages vs. Numbers Flaws
Estimated Time:1m 15s
Question 1426Question →

Identify the specific logical gap present in each scenario by pairing the causal argument with the unstated premise required for its conclusion to hold true.

Click a left item, then click its matching right item

Items

Seniors who frequently play complex strategic board games demonstrate higher cognitive retention. Therefore, playing these games prevents cognitive decline.
After the national park banned off-road vehicles, the endangered spotted owl population recovered. Thus, vehicle noise was previously suppressing the owl population.
A survey reveals a strong correlation between a startup's investment in ergonomic office furniture and its employees' reported job satisfaction. Consequently, comfortable furniture directly increases employee happiness.

Matches

Show answer & explanation

Answer

The board games argument assumes no reverse causation; the national park argument assumes no alternate concurrent event caused the outcome; and the office furniture argument assumes no third factor caused both correlated elements.
Each causal argument leaves a specific logical gap that must be bridged by an assumption. The board games argument is vulnerable to reverse causation. The park argument is vulnerable to an alternate independent cause occurring simultaneously. The furniture argument is vulnerable to a third variable causing both observed elements.

Step-by-Step Solution

1
Analyze the board games argument to identify the nature of its logical leap.
The premise is a correlation between game playing and cognitive retention. The conclusion asserts game playing causes retention.
Identifying the relationship helps determine that the argument must assume individuals with high retention aren't simply more drawn to complex games (ruling out reverse causation).
2
Examine the national park argument's premise-to-conclusion structure.
The premise relies on a chronological sequence (a ban occurred, then owls recovered).
When a conclusion jumps from sequential events to causality, the necessary assumption must rule out other simultaneous events (like new conservation efforts) acting as alternate causes.
3
Evaluate the office furniture argument's causal claim.
The argument observes a static correlation between furniture and satisfaction and concludes direct causation.
To solidify this link, the argument must assume a third underlying factor (e.g., overall company prosperity) isn't independently causing both the ability to buy furniture and the high morale.

Key Concept

Assumptions in Causal Arguments
Question 1427Question →

Mayor: The historical preservation board claims we should not approve the new skyscraper because it would destroy the unique character of the downtown district. However, building this skyscraper requires a massive collaborative effort, a commitment to overcoming immense engineering challenges, and a dedication to improving our city's future. These are all qualities that undeniably build strong character. Thus, the board is mistaken; the skyscraper project will actually enhance, not destroy, character.

The reasoning in the mayor's argument is most vulnerable to criticism on the grounds that the argument...

Show answer & explanation

Answer: illicitly relies on two distinct senses of the word "character" in reaching its conclusion.

Answer

The argument is flawed because it illicitly relies on two distinct senses of the word "character" in reaching its conclusion.
The correct answer accurately describes the flaw of equivocation. The preservation board is concerned with the 'character' of the district in an aesthetic, architectural, or historical sense. The mayor counters by discussing the 'character' built by hard work and collaboration—meaning moral or psychological virtues. Because the mayor uses a completely different definition of the word, the mayor's premises about moral virtues do nothing to refute the board's concerns about architectural aesthetics.

Step-by-Step Solution

1
Analyze the preservation board's claim.
The board opposes the skyscraper because it will destroy the downtown district's 'unique character'.
To understand the original context of the debate.
2
Analyze the mayor's counterargument and premises.
The mayor lists virtues required to build the skyscraper (collaboration, commitment) and claims these build 'strong character'.
To identify how the mayor attempts to refute the board.
3
Compare the usage of the key term in both claims.
The board uses 'character' to mean architectural style or historical ambiance. The mayor uses 'character' to mean moral strength or psychological fortitude.
To evaluate whether the mayor is addressing the exact same issue as the board.
4
Identify the logical flaw.
The mayor's conclusion that the project will 'enhance, not destroy, character' is invalid because it uses a different definition of the word than the one central to the board's objection.
Arguments must use terms consistently to be logically valid.

Key Concept

Equivocation (Uncertain Use of a Term)
Question 1428Question →

Materials Scientist: A new synthetic polymer, Elastium, is being adopted for manufacturing outdoor climbing ropes. Laboratory tests demonstrate that individual Elastium fibers are 30 percent more resistant to physical abrasion than the nylon fibers currently used in standard climbing ropes. Therefore, climbing ropes constructed entirely from Elastium will have a significantly longer safe-usage lifespan than current nylon climbing ropes.

Which of the following are assumptions on which the materials scientist's argument depends? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: The increased abrasion resistance of individual Elastium fibers results in a corresponding increase in the abrasion resistance of ropes woven from those fibers.; Elastium ropes do not degrade from other environmental factors, such as ultraviolet exposure, much more rapidly than nylon ropes do.

Answer

The correct options are the one stating that individual fiber resistance transfers to the woven rope, and the one stating Elastium does not degrade much more rapidly from other environmental factors.
The argument relies on two distinct assumptions. First, it assumes a part-to-whole relationship: that the superior abrasion resistance of individual Elastium fibers actually translates into superior abrasion resistance for the entire woven rope. If it does not, the conclusion fails. Second, it assumes that Elastium does not suffer from a separate, unstated vulnerability (such as rapid UV degradation) that would offset its superior abrasion resistance and shorten its overall safe-usage lifespan. Both of these unstated premises must be true for the conclusion to remain logically viable.

Step-by-Step Solution

1
Identify the core argument components.
Premise: Elastium fibers are 30% more resistant to physical abrasion than nylon fibers. Conclusion: Elastium ropes will have a significantly longer safe-usage lifespan.
Isolating the premise and conclusion highlights the logical gaps that must be bridged or defended.
2
Identify gaps in the reasoning (Bridge gaps).
The argument jumps from the properties of 'individual fibers' to the properties of the 'completed rope'. It assumes the strength of the parts translates to the strength of the whole.
Necessary assumptions often bridge new terms or scope shifts between the premise and conclusion.
3
Identify potential vulnerabilities (Defender gaps).
The argument assumes that abrasion is the determining factor for lifespan and that Elastium doesn't have some other fatal flaw (like UV degradation) that would shorten its lifespan compared to nylon.
Arguments projecting a positive outcome must assume there are no unstated overriding negatives.
4
Apply the Negation Test to candidate answers.
Negating the part-to-whole transfer ruins the conclusion. Negating the defense against other degradation factors (meaning Elastium DOES degrade much faster from other things) ruins the conclusion.
A valid necessary assumption must invalidate the argument when it is rendered logically false.

Key Concept

Necessary Assumption
Question 1429Question →

Recent excavations at the ancient city of Veridia have uncovered massive quantities of elaborate bronze weaponry. This cache was found concentrated entirely within a single ceremonial structure dating to the late period of the city's occupation. Because surviving historical texts indicate that Veridia underwent a significant cultural shift toward militarism during this era, archaeologists have concluded that the discovery of this weaponry proves Veridia must have maintained a massive, active standing army during its late period.

Which one of the following would be most useful to determine in order to evaluate the archaeologists' argument?

Show answer & explanation

Answer: Whether the bronze weaponry exhibits damage and wear patterns characteristic of use in actual combat

Answer

The statement assessing whether the bronze weaponry exhibits damage and wear patterns characteristic of use in actual combat.
The correct answer isolates the central assumption of the argument. Applying the Variance Test: If the weapons do show combat wear (Yes), this supports the conclusion that they were actively used by a standing army. If the weapons do not show any wear (No), this heavily undermines the conclusion, suggesting the cache in the ceremonial structure was purely decorative or ritualistic.

Step-by-Step Solution

1
Identify the core conclusion of the argument.
The archaeologists conclude that Veridia maintained a massive, active standing army during its late period.
Understanding the exact claim being made is necessary to evaluate its validity.
2
Identify the primary premise supporting the conclusion.
The premise is the discovery of massive quantities of elaborate bronze weaponry concentrated in a ceremonial structure.
Identifying the evidence helps pinpoint the logical gap between the premise and the conclusion.
3
Pinpoint the logical gap (flaw) in the argument.
The argument assumes that the mere presence of weaponry, especially in a ceremonial context, equates to active military use rather than purely symbolic or ritualistic purposes.
Finding the assumption allows us to determine what information is needed to test it.
4
Apply the Variance Test to the answer choices.
The correct answer must yield different outcomes that respectively strengthen and weaken the conclusion when answered with opposite extremes (e.g., Yes vs. No).
The Variance Test is the definitive method for verifying the correct answer in 'Evaluate the Argument' questions.

Key Concept

Applying the Variance Test to evaluate a core assumption.
Question 1430Question →

City Council Member: A municipality will halt the rapid escalation of its residential property values only if it successfully enacts stringent zoning deregulation. Consequently, because the neighboring district of Oakhaven has just finalized the most aggressive zoning deregulation package in our state's history, we can be certain that Oakhaven's residential property values will halt their escalation in the near future.

Which one of the following most accurately describes a flaw in the council member's reasoning?

Show answer & explanation

Answer: presumes, without providing justification, that satisfying a prerequisite for a given outcome is enough to guarantee that outcome

Answer

The argument concludes that fulfilling a necessary condition (zoning deregulation) is sufficient to ensure the outcome (halting property value escalation).
The council member's argument establishes that stringent zoning deregulation is a requirement ('only if') for halting the escalation of property values. However, the conclusion assumes that because Oakhaven met this requirement, success is absolutely certain. This flawed reasoning mistakenly treats a necessary prerequisite as a sufficient guarantee.

Step-by-Step Solution

1
Analyze the conditional structure of the first premise.
The phrase 'only if' introduces a necessary condition: Halting escalation requires stringent zoning deregulation.
Identifying formal logic relationships is essential for spotting structural flaws.
2
Examine the application of the premise to the specific case of Oakhaven.
The argument observes that Oakhaven has satisfied the necessary condition by enacting aggressive zoning deregulation.
This establishes how the general rule is applied to the specific real-world scenario.
3
Evaluate the conclusion drawn from the premises.
The argument concludes that Oakhaven is guaranteed to achieve the outcome (halting escalation) simply because it met the requirement.
Comparing the premises to the conclusion reveals the logical gap in the reasoning.
4
Identify the logical error.
The reasoning treats a condition that is required for an outcome as if it were a condition that guarantees the outcome.
This confirms the presence of a Necessary vs. Sufficient condition flaw.

Key Concept

Distinguishing between necessary conditions (requirements) and sufficient conditions (guarantees)
Question 1431Question →

Read the following argument and evaluate the statement below it.

Argument: A pharmaceutical company can receive expedited regulatory approval for a new drug only if the drug treats a life-threatening condition and demonstrates significant clinical improvement over existing therapies. Vaxica's new drug demonstrates significant clinical improvement over existing therapies, yet the regulatory board denied it expedited approval. Therefore, Vaxica's new drug must not treat a life-threatening condition.

Statement: The argument's reasoning relies on assuming that treating a life-threatening condition and demonstrating significant clinical improvement over existing therapies are sufficient conditions for receiving expedited regulatory approval.

Show answer & explanation

Answer: True

Answer

True
The statement is true because the argument commits a classic formal logic flaw: confusing necessary and sufficient conditions. The phrase 'only if' indicates that treating a life-threatening condition and demonstrating improvement are necessary for approval. By concluding that the drug must lack the first condition simply because it was denied approval (despite meeting the second condition), the author assumes that there are no other possible reasons for denial. This is logically identical to assuming that meeting those two conditions is sufficient to guarantee approval.

Step-by-Step Solution

1
Diagram the conditional logic in the argument's premises.
Premise 1: Expedited Approval → Treats Life-Threatening Condition (L) AND Demonstrates Improvement (I). Premise 2: Drug has I. Premise 3: Drug does NOT have Expedited Approval.
Mapping the explicit conditional statements is necessary to identify logical gaps.
2
Analyze the argument's conclusion in relation to the premises.
The conclusion is that the drug does NOT have L. The author infers the absence of one necessary condition from the absence of the sufficient condition.
Understanding how the author attempts to connect the evidence to the conclusion reveals the unstated assumption.
3
Apply the Negation Test to the proposed assumption.
Negated assumption: L and I are NOT sufficient for Expedited Approval. If true, the drug could have L and I, but still be denied approval. In this scenario, knowing the drug was denied approval and has I does NOT prove it lacks L.
The Negation Test definitively proves whether an assumption is strictly necessary for an argument's conclusion to follow.
4
Evaluate the statement based on the Negation Test.
Because negating the assumption destroys the argument, the assumption is logically required. Therefore, the statement is True.
An argument relies on an assumption if the argument fails when that assumption is false.

Key Concept

Necessary vs. Sufficient Conditions and the Negation Test
Estimated Time:1m 30s
Question 1432Question →

Marine engineer: A newly developed hull coating, AquaShield, prevents barnacle and algae accumulation significantly more effectively than the current industry standard. Since biological accumulation on a ship's hull increases hydrodynamic drag, ships must burn more fuel to maintain their scheduled speeds. Therefore, shipping companies that adopt AquaShield for their fleets will inevitably see a reduction in their overall operational expenses.

Which one of the following is an assumption on which the marine engineer's argument depends?

Show answer & explanation

Answer: The costs associated with purchasing and applying AquaShield do not completely offset the financial savings gained from reduced fuel consumption.

Answer

The assumption that the costs of purchasing and applying the new coating do not completely offset the savings from reduced fuel consumption.
The argument concludes that overall operational expenses will be reduced based on the premise that one specific expense (fuel) will decrease. For this conclusion to hold true, it must be assumed that the introduction of the new product does not bring with it new costs that wipe out the fuel savings. If the costs of AquaShield were to completely offset the fuel savings, overall expenses would stay the same or rise, destroying the argument.

Step-by-Step Solution

1
Identify the main conclusion of the argument.
The conclusion is that adopting AquaShield will reduce overall operational expenses.
Understanding the precise scope of the conclusion is required to find what must be true to support it.
2
Identify the premises supporting the conclusion.
Premise 1: AquaShield prevents accumulation better than the standard. Premise 2: Less accumulation means less drag, which means less fuel burned.
We must map how the author gets from the evidence to the conclusion to spot the gap.
3
Spot the logical gap (term shift) between the premises and the conclusion.
The premises discuss a reduction in a specific cost (fuel). The conclusion jumps to a reduction in 'overall operational expenses'.
A necessary assumption must bridge the gap between a specific component and a total aggregate.
4
Apply the Negation Test to the correct candidate.
If the costs of AquaShield DO completely offset the fuel savings, then overall expenses will not decrease. The conclusion is destroyed.
The Negation Test definitively proves whether an assumption is strictly necessary.

Key Concept

Identifying Necessary Assumptions (Bridging the gap between specific savings and overall costs)
Estimated Time:1m 30s
Question 1433Question →

Industry Analyst: In 20242024, software engineers accounted for 45%45\% of all new hires at major tech firms, while product managers accounted for 25%25\%. In 20252025, software engineers accounted for 55%55\% of all new hires at these same firms, and product managers accounted for 15%15\%. Clearly, these firms hired a greater total number of software engineers and a smaller total number of product managers in 20252025 than they did in 20242024.

The analyst's conclusion depends on assuming which of the following? Select all that apply.

Select all that apply

Show answer & explanation

Answer: The total number of new employees hired by major tech firms in 20252025 was not significantly smaller than the total number hired in 20242024.; The overall volume of new hires at major tech firms did not increase dramatically between 20242024 and 20252025.

Answer

The argument requires assuming BOTH that the total number of hires was not significantly smaller (which protects the software engineer claim) AND that the total number of hires did not increase dramatically (which protects the product manager claim).
The argument attempts to draw two specific conclusions about absolute numbers based on percentage changes moving in opposite directions. To guarantee that a rising percentage (45% to 55%) yields a rising absolute number, the baseline total cannot shrink too much. Conversely, to guarantee that a falling percentage (25% to 15%) yields a falling absolute number, the baseline total cannot grow too much. Therefore, the argument implicitly assumes bounds on how much the total hiring pool could have fluctuated in either direction.

Step-by-Step Solution

1
Identify the core logical flaw.
The argument conflates percentages (proportions) with absolute numbers (counts).
An increase or decrease in a percentage only guarantees a corresponding increase or decrease in the absolute number if the baseline total remains relatively constant.
2
Analyze the first half of the conclusion: 'greater total number of software engineers'.
The percentage rose from 45% to 55%. For the actual number to rise, the total pool of hires could not have shrunk drastically. If total hires went from 1,000 down to 100, software engineers would drop from 450 to 55.
This reveals the first required assumption: the overall hiring volume must not have been significantly smaller in 2025.
3
Analyze the second half of the conclusion: 'smaller total number of product managers'.
The percentage fell from 25% to 15%. For the actual number to fall, the total pool of hires could not have exploded in size. If total hires went from 1,000 up to 10,000, product managers would increase from 250 to 1,500.
This reveals the second required assumption: the overall hiring volume must not have increased dramatically in 2025.

Key Concept

Percentages vs. Numbers Flaws
Question 1434Question →

Over the past five years, the average temperature of the surface waters in the Coral Gulf has risen significantly. Nevertheless, marine biologists have documented that a specific species of thermal-sensitive algae—which thrives exclusively in cooler waters and perishes rapidly when exposed to warmer temperatures—has expanded its habitat significantly closer to the surface of the Coral Gulf during this exact same period.

Determine whether the following statement is true or false:
The additional premise that 'the warming of the surface waters in the Coral Gulf has completely eliminated a surface-dwelling predatory fish that previously served as the primary consumer of this thermal-sensitive algae' successfully resolves the apparent discrepancy presented above.

Show answer & explanation

Answer: False

Answer

False
The proposed premise fails to resolve the paradox because it only addresses the ecological dynamic of predation while ignoring the absolute physical constraint established in the stimulus. Because the stimulus explicitly states that the algae perish rapidly in warmer temperatures, merely removing a predator does not explain how the algae survive the lethal warming of the surface waters. A successful resolution must bridge both conflicting facts.

Step-by-Step Solution

1
Identify the two conflicting premises in the stimulus.
Premise 1: Surface waters have warmed. Premise 2: Algae that perish in warmer waters have expanded closer to the surface.
Resolving a paradox requires a clear understanding of the two facts that appear to contradict each other.
2
Determine the criteria for successfully bridging the conflict.
A successful resolution must explain how the algae are able to survive closer to the surface despite the lethal warmer temperatures.
An effective bridging premise must allow both original premises to coexist logically without dismissing either.
3
Evaluate the proposed additional premise.
The proposed premise states that a predator of the algae has been eliminated by the warmer waters.
We must test if this new information satisfies the criteria established in Step 2.
4
Determine if the proposed premise successfully resolves the paradox.
It does not. While the lack of predators explains a potential reason for expansion, it fails to explain how the algae survive the lethal warmer temperatures.
A premise that resolves only one side of a paradox while ignoring an absolute constraint does not effectively bridge the conflicting premises.

Key Concept

Evaluating whether an additional premise successfully bridges a logical conflict without violating established constraints.
Question 1435Question →

Read the following stimulus carefully:

Economist: A currency cannot be considered truly stable unless it is backed by a tangible commodity, such as gold or silver. Historical records indicate that the currency of the ancient Empire of Valoria was fully backed by vast reserves of silver. Furthermore, Valoria's economy experienced nearly three centuries of uninterrupted growth and high trade volume. Therefore, we can confidently conclude that the Valorian currency was truly stable.

Determine whether the following description of the argument's flaw is true or false: The argument is vulnerable to criticism because it concludes that a condition is necessary for a currency to be considered truly stable on the grounds that this condition is sufficient to establish such stability.

Show answer & explanation

Answer: False

Answer

False
The correct answer is False because the statement describes the exact reverse of the actual logical flaw in the stimulus. The stimulus establishes that commodity backing is necessary for stability ('cannot be stable unless...'). It then concludes that because Valoria had commodity backing, it was stable—thus treating a necessary condition as sufficient. The statement provided incorrectly claims the argument does the opposite (treating a sufficient condition as necessary).

Step-by-Step Solution

1
Diagram the conditional logic in the first sentence to identify the established relationship.
Stable Currency -> Backed by Tangible Commodity. This means commodity backing is a necessary condition for stability.
The phrase 'cannot be... unless' introduces a necessary condition.
2
Identify the application of the conditional logic in the remainder of the argument.
The argument states Valoria had the necessary condition (backed by silver) and concludes it achieved the sufficient condition (stable currency).
This shows how the author uses the premise to support the conclusion.
3
Determine the precise logical flaw committed by the economist.
The argument treats a necessary condition (commodity backing) as a sufficient condition for stability (an Illegal Reversal).
Affirming the consequent is a classic logical fallacy.
4
Evaluate the proposed statement against the identified flaw.
The statement claims the argument treats a sufficient condition as a necessary one. This is the exact opposite of the actual flaw, making the statement false.
Precision in identifying the directionality of conditional logic flaws is required.

Key Concept

Identifying the precise directionality of a necessary vs. sufficient condition flaw (Illegal Reversal).
Question 1436Question →

Biologist: The recent 40 percent decline in our region's honeybee population is likely caused by the pesticide Hexa-Trol, which local orchards began using two years ago. Laboratory studies have definitively shown that the active chemical in Hexa-Trol is highly toxic to honeybees.

True or False: The biologist's argument logically requires the assumption that the honeybees in the region forage in areas where they are exposed to the pesticide applied by the local orchards.

Show answer & explanation

Answer: True

Answer

True
The argument concludes that a specific pesticide is causing a population decline in the wild based on laboratory evidence of its toxicity. For this laboratory finding to explain the real-world decline, the wild bees must actually come into contact with the pesticide. If we apply the Negation Test and assume the bees are not exposed to the pesticide applied by the orchards, the entire argument falls apart. Therefore, this is a logically necessary assumption.

Step-by-Step Solution

1
Identify the main conclusion of the argument.
The conclusion is that the recent decline in the local honeybee population is likely caused by the pesticide Hexa-Trol.
Understanding the core claim is required to determine what unstated premises must be true for the claim to hold.
2
Identify the premises provided to support the conclusion.
The premises are: 1) The decline began after local orchards started using Hexa-Trol two years ago. 2) Laboratory studies show the chemical in Hexa-Trol is highly toxic to honeybees.
We must evaluate the explicit evidence the author uses to build the argument.
3
Locate the logical gap between the premises and the conclusion.
The argument jumps from the fact that a chemical is toxic in a controlled laboratory setting to the conclusion that it is actively killing bees in the wild.
Necessary assumptions often bridge the gap between theoretical or isolated evidence and real-world outcomes.
4
Apply the Negation Test to the provided statement to see if it is strictly necessary.
Negated statement: The honeybees are NOT exposed to the pesticide applied by the local orchards. If this negated statement is true, the pesticide cannot possibly be the cause of their decline, completely destroying the argument.
The Negation Test is the definitive method to prove whether an assumption is logically necessary for an argument to survive.

Key Concept

Necessary Assumption
Question 1437Question →

Match each paradoxical scenario on the left with the additional piece of information on the right that most helps to resolve the apparent discrepancy.

Click a left item, then click its matching right item

Items

A boutique bakery raised the prices of its signature pastries significantly, yet the total volume of these pastries sold per week increased.
A municipality initiated a massive tree-planting campaign specifically to lower summer temperatures, but the average summer heat in the targeted neighborhoods actually rose.
A regional airline significantly reduced its scheduled flights to rural airports, expecting a loss, yet its total revenue from rural routes increased.
A university made its premium lecture recordings freely accessible to attract more paying students, but subsequent enrollment in its paid online certificate programs dropped.

Matches

Show answer & explanation

Answer

The bakery matches the social media luxury trend; the tree-planting matches the asphalt paving; the airline matches the monopoly pricing; the university lectures matches the educational substitution effect.
Each correct pairing provides the missing contextual factor that allows both seemingly incompatible premises in the scenario to coexist logically. They supply alternative causes, overriding variables, or mathematical relationships (like price versus volume) that resolve the apparent discrepancies.

Step-by-Step Solution

1
Analyze the bakery scenario
Identify the paradox: higher prices usually mean lower sales volume, but here volume increased.
Understanding the core conflict is necessary to find the bridge.
2
Match the bakery scenario
Pair it with the social media luxury trend resolution.
This introduces a shift in demand that overrides the normal effect of a price increase.
3
Analyze and match the tree-planting scenario
Pair the tree-planting (which should cool the area) with the asphalt paving (which heats the area).
The asphalt introduces an external variable that causes the unexpected temperature rise.
4
Analyze and match the airline scenario
Pair the reduced flights with monopoly pricing.
Revenue equals volume times price; if volume drops but revenue rises, price must have increased significantly to compensate.
5
Analyze and match the university scenario
Pair the free lectures with the elimination of the incentive to pay.
This explains why the promotional effort perfectly substituted the paid product and reduced paid enrollments.

Key Concept

Bridging Conflicting Premises by identifying external variables, offsetting factors, or unintended behavioral consequences.
Question 1438Question →

Five years ago, a government grant program helped farmers in the arid Oakhaven region install advanced drip-irrigation systems. These systems deliver water directly to plant roots, reducing the volume of water required per acre by over 40 percent compared to the previously used flood-irrigation methods. Today, even though over 90 percent of Oakhaven's farmers use drip-irrigation and there has been no shift toward more water-intensive crop varieties, the total volume of water drawn annually from the region's aquifers for agricultural use is 15 percent higher than it was five years ago.

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

Show answer & explanation

Answer: The reduction in water costs per acre achieved through the new drip-irrigation systems allowed many Oakhaven farmers to profitably cultivate large tracts of previously unplanted land.

Answer

The correct answer states that the reduction in water costs allowed farmers to cultivate large tracts of previously unplanted land.
The correct answer directly resolves the discrepancy by addressing the mathematical relationship between per-acre usage (a rate) and total usage (an absolute volume). If the cost savings from the more efficient irrigation systems incentivized farmers to plant on significantly more acres of land, the total volume of water drawn would inevitably increase, successfully bridging the two conflicting premises.

Step-by-Step Solution

1
Analyze the stimulus to identify the two seemingly conflicting premises.
Premise 1: Per-acre water usage dropped by 40% for over 90% of farmers. Premise 2: Total agricultural water usage in the region increased by 15%.
Identifying the exact parameters of the paradox is necessary to find a bridging mechanism.
2
Determine the mathematical relationship between the variables presented.
Total water usage is calculated by multiplying the water used per acre (the rate) by the total number of acres cultivated (the multiplier).
Understanding how the variables interact reveals what information is missing from the stimulus.
3
Evaluate the options to find a mechanism that increases the total water usage despite the per-acre efficiency gain.
The correct option introduces a massive increase in the total number of acres cultivated.
An increase in total acreage perfectly reconciles a lower per-acre rate with a higher total volume.

Key Concept

Resolving a paradox by identifying a missing variable in a rate-versus-volume relationship (often related to the Jevons paradox in economics).
Question 1439Question →

Sociologist: In a recent study of office workers, those who independently opted to take frequent, short breaks throughout the workday reported significantly higher levels of job satisfaction than those who took a single, longer break. Therefore, to improve overall employee morale, corporate management should implement a policy mandating that all employees take frequent short breaks rather than a single long one.

Which one of the following is an assumption required by the sociologist's argument?

Show answer & explanation

Answer: The higher job satisfaction reported by employees who take frequent short breaks does not depend primarily on the autonomy they exercise in choosing their own break schedules.

Answer

The correct assumption is that the reported job satisfaction does not depend primarily on the autonomy employees have in choosing their break schedules.
The correct answer bridges the critical gap between the premise (employees 'independently opted' for short breaks) and the conclusion (management 'mandating' short breaks). By applying the Negation Technique, we can test this: if the high satisfaction WAS primarily due to the autonomy of choosing the breaks, then forcing employees to take them would eliminate that autonomy, meaning morale would not improve. Because negating this statement destroys the argument, it is a logically required assumption.

Step-by-Step Solution

1
Identify the core components of the argument.
Premise: Workers who voluntarily took frequent short breaks had higher job satisfaction. Conclusion: Mandating frequent short breaks will improve overall morale.
Deconstructing the argument is necessary to spot the logical leap.
2
Locate the logical gap or shift in scope.
The premise involves a behavior that was 'independently opted' for (voluntary), while the conclusion proposes 'mandating' that behavior (involuntary).
LSAT arguments frequently contain subtle shifts in terminology that indicate the underlying assumption.
3
Formulate a necessary assumption to bridge this gap.
The argument assumes that the positive effects of the breaks will survive the transition from voluntary to mandatory.
If the benefit is tied to the choice rather than the breaks themselves, the mandate will fail.
4
Apply the Negation Technique to the correct option to verify.
Negating the correct option yields: 'Satisfaction DOES depend primarily on autonomy.' If true, a mandate (which removes autonomy) would not improve morale, destroying the conclusion.
The Negation Technique is the definitive test for a Necessary Assumption.

Key Concept

Applying the Negation Technique to test Necessary Assumptions involving a shift from voluntary action to forced policy.
Question 1440Question →

Evaluate the flawed causal claims, predictions, and historical hypotheses presented below. Which specific piece of new evidence provides the most robust logical support for each argument's main conclusion? Match each argument (left) to its strongest supporting evidence (right).

Click a left item, then click its matching right item

Items

An anthropologist argues that the sudden adoption of bronze tools by the highland Q'ero tribes resulted from peaceful trade with lowland empires, not military conquest. The discovered bronze artifacts lack the decorative engravings typical of lowland soldiers' weapons.
A marine biologist asserts that the unprecedented bleaching of the Aethel Coral Reef is primarily caused by chemical runoff from a newly opened coastal desalination plant, rather than the recently documented slight increase in local ocean temperatures.
A retail analyst predicts that the bookstore chain PageTurner will see a significant increase in profit margins next quarter. The chain recently replaced its human cashiers with automated kiosks, which cost considerably less to operate than paying employee wages.
A neurologist hypothesizes that frequent engagement with short-form video content fundamentally reduces an adult's baseline attention span. A clinical survey found that adults who watch short-form videos for over three hours daily performed significantly worse on sustained-focus tests than non-watchers.

Matches

Show answer & explanation

Answer

The correct matches validate causal links by establishing controls, ruling out reverse causality, eliminating negative side-effects, and corroborating structural assumptions.
Each correct match directly addresses the specific logical vulnerability of its corresponding argument. The archaeological evidence removes the military utility of the bronze, the ecological evidence isolates the chemical variable from the temperature variable, the financial evidence protects the cost-savings from revenue losses, and the medical evidence proves the chronological direction of the psychological effect.

Step-by-Step Solution

1
Analyze the Anthropology argument (L1)
Identify the logical gap: A lack of decorative engravings does not definitively prove the tools were not used in war.
Matching it with the evidence of functionally non-martial tools (R1) closes this gap, supporting the peaceful trade conclusion.
2
Analyze the Marine Biology argument (L2)
Identify the logical gap: Both chemicals and heat are present, and heat is a known alternative cause for bleaching.
Matching it with evidence of a control ecosystem (R2) isolates the chemical runoff as the primary culprit, proving heat alone did not cause the bleaching.
3
Analyze the Economics argument (L3)
Identify the logical gap: Lower wage costs only improve profit margins if revenues and other operational costs remain stable.
Matching it with evidence of stable transaction rates and inventory shrinkage (R3) rules out the potential negative side effects of kiosks.
4
Analyze the Neuroscience argument (L4)
Identify the logical gap: The survey is a cross-sectional snapshot, leaving the argument vulnerable to reverse causality (people with short attention spans preferring short videos).
Matching it with longitudinal data proving the groups were equal beforehand (R4) confirms the direction of causation.

Key Concept

Strengthening arguments by closing causal gaps, ruling out alternative explanations, and validating implicit assumptions.
PreviousPage 72 / 198Next
All practice questions — LSAT | Examkin