Inference and Deduction

215 questions

Question 201Question →

A comprehensive survey of flora in the Veridia Valley documented various characteristics of the local plant species. Every plant species in the valley that produces nectar is pollinated by indigenous insects. Most of the valley's plant species that are pollinated by indigenous insects flower during the early spring. In addition, some of the plant species in the valley that produce nectar are classified as toxic to mammals.

Which one of the following must be true based on the information provided?

Show answer & explanation

Answer: At least some of the plant species in the valley that are toxic to mammals are pollinated by indigenous insects.

Answer

At least some of the plant species in the valley that are toxic to mammals are pollinated by indigenous insects.
The correct answer follows strictly from the first and third premises. The third premise establishes that there is an intersection between nectar-producing plants and toxic plants (i.e., there are plants that are both). The first premise establishes a universal rule: every single nectar-producing plant is pollinated by insects. Applying this universal rule to the intersection, those specific toxic, nectar-producing plants must also be pollinated by insects. Therefore, it is absolutely true that some toxic plants are pollinated by insects.

Step-by-Step Solution

1
Translate the statements into formal logical relationships.
Statement 1: All Nectar -> Pollinated by Insects. Statement 2: Most Pollinated by Insects -> Flower in Spring. Statement 3: Some Nectar -> Toxic to Mammals.
Mapping the quantifiers allows us to see how the groups interact without being distracted by the subject matter.
2
Identify connections between the 'Some' statement and the 'All' statement.
We know that at least one plant is both Nectar-producing and Toxic (from Statement 3). We also know that every single Nectar-producing plant is Pollinated by Insects (from Statement 1).
The most reliable valid deductions in quantifier logic come from combining 'Some' statements with 'All' statements.
3
Derive the logically guaranteed conclusion.
Since the toxic, nectar-producing plants mentioned in Statement 3 must follow the rule established in Statement 1, they must be pollinated by insects. Therefore, at least some toxic plants are pollinated by insects.
If an entity possesses trait X (Nectar), and ALL things with trait X have trait Y (Pollinated by Insects), then that specific entity must also have trait Y.

Key Concept

Quantifier Logic (Some, Most, All)
Question 202Question →

Botanical surveys of the lower river valley reveal several consistent patterns. All native shrubs in the valley require alkaline soil to thrive. Furthermore, most of these native shrubs bloom in late spring. Finally, none of the plants that bloom in late spring are frost-resistant. Which one of the following conclusions must logically follow from the survey results described above?

Show answer & explanation

Answer: At least some plants that require alkaline soil are not frost-resistant.

Answer

At least some plants that require alkaline soil are not frost-resistant.
The correct answer accurately synthesizes the overlapping sets presented in the premises. Since most native shrubs bloom in late spring, and no late-blooming plants are frost-resistant, it must be true that most native shrubs are not frost-resistant. Since every native shrub requires alkaline soil, those specific non-frost-resistant shrubs must also have alkaline soil, proving that at least some plants requiring alkaline soil are not frost-resistant.

Step-by-Step Solution

1
Diagram the first premise to establish a universal relationship.
Native Shrubs (NS) -> Alkaline Soil (AS)
This establishes that anything classified as a native shrub possesses the trait of requiring alkaline soil.
2
Diagram the remaining premises to identify characteristics applying to the majority.
Native Shrubs (NS) -most- Bloom Late Spring (BLS). Bloom Late Spring (BLS) -> NOT Frost-Resistant (~FR). Therefore, Native Shrubs (NS) -most- NOT Frost-Resistant (~FR).
Chaining a 'most' statement into a universal 'none/not' statement yields a valid 'most' deduction.
3
Synthesize the overlapping traits to find a guaranteed deduction.
Since Native Shrubs have the universal trait of needing alkaline soil, and most of them are not frost-resistant, the groups 'Alkaline Soil' and 'NOT Frost-Resistant' must overlap.
Whenever a single group (Native Shrubs) entirely belongs to Group X and mostly belongs to Group Y, Groups X and Y must share at least some members.

Key Concept

Quantifier overlapping and valid deduction from combinations of 'all', 'most', and 'none'.
Question 203Question →

During initial clinical trials of the novel medication Xylofen, every participant possessing the genetic mutation K-22 experienced a complete cessation of migraine symptoms within 2424 hours of administration. Participants lacking the K-22 mutation exhibited highly variable responses in the clinical trials, with some experiencing complete cessation and others reporting no effect. The K-22 mutation is present in precisely 30%30\% of the general population who suffer from migraines. When Xylofen was approved and introduced into general medical practice, physicians prescribed it to migraine sufferers without testing for the K-22 mutation, resulting in the drug being distributed to patients with and without the mutation in exact proportion to their representation in the migraine-suffering population. Nevertheless, data from the first year of general practice showed that only 10%10\% of all patients prescribed Xylofen experienced a complete cessation of symptoms within 2424 hours.

Which of the following is most strongly supported by the information above?

Show answer & explanation

Answer: Among patients who possess the K-22 mutation and were prescribed Xylofen, the proportion who experienced a complete cessation of symptoms within 2424 hours was lower in general medical practice than it was during the initial clinical trials.

Answer

The proportion of patients with the K-22 mutation who achieved complete symptom cessation was lower in general practice than in the clinical trials.
The stimulus provides enough quantitative data to calculate a mathematical upper bound for the success rate of the drug among K-22 patients in general practice. In the clinical trials, 100%100\% of K-22 patients experienced complete cessation. In general practice, the K-22 group comprised 30%30\% of all prescribed patients, yet the total success rate for all patients combined was only 10%10\%. Even in the absolute best-case statistical scenario for the K-22 group—assuming that every single patient who achieved cessation was a K-22 patient—their success rate would only be 1010 out of 3030, or approximately 33.3%33.3\%. Since 33.3%33.3\% is strictly less than the 100%100\% success rate observed in the trials, it is a certainty that the proportion of K-22 patients experiencing cessation was lower in general practice.

Step-by-Step Solution

1
Analyze the clinical trial data for patients with the K-22 mutation.
Exactly 100%100\% of trial participants with the K-22 mutation experienced a complete cessation of symptoms.
The stimulus explicitly states 'every participant possessing the genetic mutation K-22 experienced a complete cessation'.
2
Determine the demographic distribution of patients prescribed the drug in general practice.
The K-22 mutation group constitutes exactly 30%30\% of the patients who were prescribed the drug in general practice.
The mutation is present in 30%30\% of the target population, and the drug was prescribed in exact proportion to this representation.
3
Calculate the mathematical maximum possible success rate for K-22 patients in general practice.
The total cessation rate is 10%10\%. Even if all of these successful outcomes occurred exclusively in the K-22 group, their cessation rate would be at most 10%/30%10\% / 30\%, which is roughly 33.3%33.3\%.
To find an upper bound for a subgroup's rate, we must attribute the maximum possible number of successes to that subgroup.
4
Compare the rates between the clinical trials and general practice.
The general practice rate for the K-22 group (maximum 33.3%33.3\%) is definitively lower than their clinical trial rate (100%100\%).
This guarantees that the correct answer choice is a provably true logical inference, fulfilling the requirements for Most Strongly Supported.

Key Concept

Synthesizing percentage subsets to determine mathematical upper bounds in logical inferences.
Estimated Time:2m 30s
Question 204Question →

To achieve "Tier 1" security certification, a data center must implement strict biometric access controls. Furthermore, if a Tier 1 certified data center handles financial data, it is also required to implement air-gapped backup servers. Industry analyses demonstrate that any data center implementing air-gapped backup servers incurs overall maintenance costs that are at least 30 percent higher than the industry average. Zenith Corporation mandates that all of its external cloud service providers hold Tier 1 security certification. Nimbus Data Systems and Cygnus Solutions are currently contracted as external cloud service providers for Zenith. Cygnus Solutions' contract involves the processing of financial data, while Nimbus Data Systems maintains overall maintenance costs that are exactly equal to the industry average.

Based on the information provided, which of the following statements are most strongly supported? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Cygnus Solutions incurs maintenance costs that are at least 30 percent higher than the industry average.; Nimbus Data Systems does not process any financial data.

Answer

The statements confirming that Cygnus Solutions incurs higher maintenance costs and that Nimbus Data Systems does not process financial data are logically proven by the stimulus.
The correct statements are mathematically deducible by applying the conditional rules provided in the stimulus. Cygnus must hold Tier 1 certification and processes financial data, meaning it must use air-gapped servers, which guarantees high maintenance costs. Conversely, because Nimbus does not have high maintenance costs, it cannot have air-gapped servers. Since it must hold Tier 1 certification, the lack of air-gapped servers proves it cannot be processing financial data.

Step-by-Step Solution

1
Map the conditional relationships provided in the stimulus.
Provider for Zenith -> Tier 1. Tier 1 -> Biometric controls. (Tier 1 + Financial Data) -> Air-gapped servers. Air-gapped servers -> Costs >30% above average.
Most Strongly Supported questions with dense rules require establishing the chain of sufficient and necessary conditions.
2
Apply the conditional chain to Cygnus Solutions.
Cygnus is a Zenith provider (therefore Tier 1) and handles financial data. This triggers the requirement for air-gapped servers, which in turn guarantees costs >30% above average.
This proves the statement that Cygnus incurs maintenance costs significantly higher than the industry average.
3
Apply the conditional chain and its contrapositive to Nimbus Data Systems.
Nimbus is a Zenith provider (Tier 1). Its costs are exactly average. By the contrapositive (If NOT costs >30%, then NOT air-gapped servers), Nimbus lacks air-gapped servers. Because it is Tier 1 but lacks air-gapped servers, it cannot handle financial data.
This proves the statement that Nimbus Data Systems does not process financial data.

Key Concept

Applying conditional logic chains and contrapositives to specific cases.
Question 205Question →

Urban planners conducting a decade-long evaluation of civic transit initiatives found that every city with a fully subsidized public rail system experienced a notable decline in average commute times over the last ten years. Furthermore, the evaluation documented that all cities experiencing a notable decline in average commute times also reported a significant increase in local retail growth.

Based on the information provided, is the following statement strongly supported?

'Any city that reported a significant increase in local retail growth over the last ten years must have a fully subsidized public rail system.'

Show answer & explanation

Answer: False

Answer

False (The statement is not strongly supported because it illegally reverses the conditional logic).
The correct evaluation is False. The passage sets up a direct chain: Subsidized Rail -> Commute Decline -> Retail Growth. The statement given for evaluation claims that Retail Growth -> Subsidized Rail. This is a classic Mistaken Reversal. While the premises guarantee that cities with subsidized rail will see retail growth, they completely fail to rule out other potential causes for retail growth in cities that do not have a subsidized rail system.

Step-by-Step Solution

1
Identify the conditional relationships presented in the premises.
Premise 1: Fully subsidized rail -> Decline in commute times. Premise 2: Decline in commute times -> Increase in retail growth.
Mapping the exact logical chain is required to see what inferences can be validly drawn from the passage.
2
Chain the conditional statements together to find the valid inference.
Fully subsidized rail -> Decline in commute times -> Increase in retail growth. Therefore, Fully subsidized rail -> Increase in retail growth.
Transitive logic allows us to connect the first sufficient condition to the final necessary condition.
3
Compare the provided statement to the valid chain of logic.
The statement claims: Increase in retail growth -> Fully subsidized rail. This is the exact reverse of the valid inference.
We must determine if the statement matches our derived inference or commits a logical fallacy.

Key Concept

Mistaken Reversal in Conditional Logic
Question 206Question →

To mitigate the environmental impact of urban expansion, the municipality implemented a 'Green Offset' policy. Under this policy, property developers can proceed with construction on undeveloped land only if they purchase 'restoration credits' equivalent to the ecological value of the land being developed. The municipality calculates this ecological value based strictly on the estimated carbon sequestration capacity of the vegetation. Developers predominantly purchase credits from commercial offset firms that specialize in planting fast-growing, non-native pine plantations, which rapidly achieve high carbon sequestration rates per hectare. In contrast, the land typically cleared for urban expansion consists of slow-growing native scrubland that supports a wide variety of endemic wildlife but has a relatively low carbon sequestration capacity per hectare. The policy does not mandate that the offset firms maintain the pine plantations once the restoration credits are sold, and such plantations are highly susceptible to wildfires after their first decade.

Which of the following statements are most strongly supported by the information above?

Select all that apply

Show answer & explanation

Answer: The municipality's Green Offset policy permits developers to destroy habitats supporting a wide variety of endemic wildlife in exchange for funding environments that may not sustain that same wildlife.; The total physical area of land covered by vegetation within the municipality is likely to decrease over time as a direct consequence of developers utilizing the Green Offset policy.; Property developers can fully satisfy their regulatory offset obligations by purchasing credits derived from pine plantations that are subsequently destroyed by wildfires a decade later.

Answer

The statements regarding the potential loss of wildlife habitat, the likely decrease in total vegetated area, and the possibility of satisfying obligations with plantations that later burn down are all strongly supported.
The correct statements draw directly from the stimulus without assuming outside information. The policy swaps wildlife-rich scrubland for non-native pines strictly based on carbon, supporting the claim about potential wildlife risk. The mathematical discrepancy between the low-capacity land destroyed and high-capacity land planted means the total vegetated area inherently shrinks. Finally, the explicit lack of a maintenance mandate combined with wildfire susceptibility supports the claim that developers can meet obligations via temporary forests.

Step-by-Step Solution

1
Analyze the conditions required for construction.
Construction on undeveloped land requires purchasing credits, which is a necessary condition, not a sufficient one.
To properly evaluate conditional statements presented in the options.
2
Compare the ecological valuation of the two land types.
Scrubland has low carbon capacity per hectare; pine has high capacity per hectare. Valuation is strictly based on carbon capacity.
To understand the mathematical relationship between the land destroyed and the land planted.
3
Deduce the physical area impact.
Destroying 1 hectare of scrubland requires less than 1 hectare of pine to offset the carbon capacity, leading to a net loss of vegetated physical area.
To evaluate claims about total land area.
4
Evaluate the long-term requirements of the policy.
The policy requires purchasing credits but does not mandate long-term maintenance, leaving the offset vulnerable to future destruction without penalizing the developer.
To evaluate claims about the longevity and strictness of the offsets.

Key Concept

Most Strongly Supported Questions often require synthesizing proportional relationships, recognizing conditional logic boundaries, and making safe, text-based deductions without relying on outside assumptions.
Question 207Question →

When a community shifts from a nomadic lifestyle to a settled agricultural one, their vocabulary for describing permanent geographic features typically expands significantly. However, linguistic studies of the Xilari people, who transitioned to agriculture three centuries ago, show that their vocabulary for permanent geographic features is smaller than that of their nomadic neighbors, the Yulari. Records indicate that the Xilari settled in a highly uniform, flat basin, whereas the Yulari migrate annually through a diverse mountain range.

Based on the information provided, which of the following statements are most strongly supported? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: The physical diversity of a community's environment can sometimes outweigh the community's settlement status in determining the size of its geographic vocabulary.; Transitioning to an agricultural lifestyle is not sufficient to guarantee that a community will develop a larger geographic vocabulary than any given nomadic group.

Answer

The most strongly supported statements are that environmental diversity can sometimes outweigh settlement status, and that transitioning to agriculture does not guarantee a larger geographic vocabulary than any nomadic group.
The stimulus establishes that despite the general trend of agricultural societies expanding their geographic vocabulary, the agricultural Xilari have a smaller one than the nomadic Yulari. This difference directly corresponds to the contrasting physical diversity of their respective environments. Therefore, the text heavily supports the inference that environmental diversity can be a more powerful factor than settlement status, and it acts as a direct counterexample proving that an agricultural transition does not universally guarantee a larger geographic vocabulary than a nomadic lifestyle.

Step-by-Step Solution

1
Analyze the general rule established in the first sentence.
Settling into an agricultural lifestyle typically leads to a significantly expanded vocabulary for geographic features.
To understand the baseline expectation before looking at specific data.
2
Analyze the specific exception presented in the passage.
The agricultural Xilari have a smaller geographic vocabulary than the nomadic Yulari.
To identify how the real-world example deviates from the general rule.
3
Identify the differing variables that might account for the exception.
The Xilari live in a highly uniform, flat basin, while the Yulari migrate through a diverse mountain range.
To synthesize the premises and find what logically supports the observed outcome.
4
Evaluate the answer choices against the synthesized premises to find conclusions that do not overreach.
The text safely supports the ideas that environment can override settlement status, and that agriculture alone does not absolutely guarantee a larger vocabulary.
To ensure the selected inferences rely strictly on provided facts without relying on outside assumptions or extreme qualifiers.

Key Concept

Synthesizing multiple premises to identify safely worded, strongly supported inferences while avoiding extreme generalizations.
Question 208Question →

Paleoclimatologists measure the ratio of oxygen-18 to oxygen-16 in the calcium carbonate shells of benthic foraminifera found in deep-sea sediment cores. Because water molecules containing the lighter oxygen-16 isotope evaporate more readily from the oceans and are subsequently trapped in continental ice sheets during glacial periods, a higher ratio of oxygen-18 to oxygen-16 in these deep-sea shells indicates a larger global ice volume at the time the shells were formed. Furthermore, the analysis of cores from the North Atlantic shows that during the last three glacial periods, the peak oxygen-18 to oxygen-16 ratio was reached approximately 5,000 years before the minimum sea surface temperatures were recorded in the same region. Which of the following statements are most strongly supported by the information above? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: During periods of extensive global glaciation, the ocean water from which benthic foraminifera construct their shells contains a lower concentration of oxygen-16 relative to oxygen-18 than it does during interglacial periods.; In the North Atlantic, the maximum extent of global ice volume during the last three glacial periods occurred before the ocean surface waters reached their coldest temperatures.

Answer

The correct statements are that ocean water has a lower relative concentration of oxygen-16 during glaciations, and that the maximum global ice volume preceded the coldest ocean surface temperatures in the North Atlantic.
The correct choices directly follow from synthesizing the provided facts. First, because oxygen-16 is trapped in ice during glacial periods, the ocean water must logically have a lower concentration of oxygen-16 relative to oxygen-18 than it normally would. Second, because the peak isotope ratio indicates maximum ice volume, and this peak occurs 5,000 years before minimum temperatures, the maximum ice volume must occur before the ocean reaches its coldest temperatures.

Step-by-Step Solution

1
Analyze the causal mechanism for isotope ratios.
Oxygen-16 evaporates and gets trapped in ice, leaving the oceans with a higher ratio of oxygen-18 to oxygen-16.
This establishes why deep-sea shells show different ratios during glacial versus interglacial periods.
2
Analyze the timeline presented in the text.
The peak isotope ratio (indicating maximum ice volume) happens roughly 5,000 years before the minimum sea surface temperatures.
This establishes the temporal sequence of events during the last three glacial periods.
3
Evaluate the choices against the strictly supported facts.
Only choices dealing with relative concentrations (ratios) and the timeline of events are supported. Choices dealing with absolute numbers, unstated causal relationships, or generalizations to other organisms are unsupported.
Most Strongly Supported questions require answers that can be proven or heavily deduced directly from the text without outside assumptions.

Key Concept

Synthesizing explicit premises to form a highly probable conclusion while avoiding ratio versus absolute amount and causation fallacies.
Question 209Question →

Recent neuroimaging studies reveal that adults who have been highly proficient in two languages since early childhood exhibit greater gray matter density in the prefrontal cortex than monolingual adults do. However, among adults who became highly proficient in a second language only after adolescence, prefrontal cortex density is indistinguishable from that of monolingual adults. Interestingly, behavioral tests indicate that tasks requiring subjects to rapidly switch attention between conflicting stimuli are performed significantly faster by both early and late bilinguals than by monolinguals.

Which one of the following is most strongly supported by the information above?

Show answer & explanation

Answer: Greater gray matter density in the prefrontal cortex is not necessary for an individual to perform rapid attention-switching tasks significantly faster than monolinguals.

Answer

Greater gray matter density in the prefrontal cortex is not necessary for an individual to perform rapid attention-switching tasks significantly faster than monolinguals.
The correct answer synthesizes two critical pieces of information from the stimulus. We are told that late bilinguals perform attention-switching tasks faster than monolinguals. We are also told that these same late bilinguals do not have greater gray matter density than monolinguals. Therefore, it is logically proven that having greater gray matter density is not a strictly necessary prerequisite for performing these tasks faster.

Step-by-Step Solution

1
Analyze the characteristics of early bilinguals based on the text.
Early bilinguals have greater prefrontal cortex density than monolinguals, and they perform attention-switching tasks faster than monolinguals.
To establish the baseline findings regarding the first group mentioned in the stimulus.
2
Analyze the characteristics of late bilinguals based on the text.
Late bilinguals have prefrontal cortex density equal to monolinguals, but they ALSO perform attention-switching tasks faster than monolinguals.
To establish the findings regarding the second group, noting the key difference from the first group.
3
Synthesize the findings to draw a valid logical inference.
Because late bilinguals achieve the enhanced performance without having the increased brain density, the increased brain density cannot be a necessary requirement for the enhanced performance.
Most Strongly Supported questions often require combining two or more distinct facts from the stimulus to deduce a new, strictly provable claim.

Key Concept

Synthesizing premises to deduce the absence of a necessary condition.
Question 210Question →

Historical analysis of 19th-century patent filings reveals that inventions related to agricultural automation spiked during periods of rapid urbanization. During these same periods, the average wages for rural farm laborers increased significantly. Furthermore, economic records from the era show that farm owners generally invested heavily in new automation technology only when the rising cost of manual labor began to threaten their overall profitability.

Based on the information provided, the following statement is most strongly supported: During periods of rapid urbanization in the 19th century, conditions existed that threatened the profitability of farms relying strictly on manual labor.

Show answer & explanation

Answer: True

Answer

True
The stimulus establishes that agricultural automation spiked during periods of rapid urbanization. It also provides a strict conditional rule: farm owners invested heavily in automation only when manual labor costs threatened profitability. By combining these facts, we can deduce that during the periods when automation spiked (rapid urbanization), the necessary condition (threats to profitability) must have been present. Therefore, the statement is highly supported.

Step-by-Step Solution

1
Analyze the factual correlation established in the first premise.
Agricultural automation spiked concurrently with rapid urbanization and rising rural wages.
To establish the historical context of what occurred during rapid urbanization.
2
Identify the conditional rule provided in the final premise.
Farm owners invested heavily in automation ONLY WHEN manual labor costs threatened profitability.
To determine the necessary condition required for an automation spike to occur.
3
Synthesize the facts and the conditional rule.
Because the automation spike occurred during urbanization, the necessary prerequisite for that spike (threatened profitability due to labor costs) must have also existed during that time.
To evaluate whether the given statement is strongly supported by the provided text.

Key Concept

Synthesizing conditional logic and factual premises to derive a logically supported inference.
Estimated Time:1m 30s
Question 211Question →

A recent survey of freelance software developers revealed that those who specialize in cybersecurity charge, on average, a higher hourly rate for their freelance work than those who specialize in mobile application development. However, the survey also demonstrated that the average total annual income earned from freelance work is significantly greater for mobile application developers than it is for cybersecurity specialists.

Which one of the following is most strongly supported by the information above?

Show answer & explanation

Answer: In the survey, the average freelance mobile application developer bills for a greater number of hours annually than the average freelance cybersecurity specialist does.

Answer

The statement that the average freelance mobile application developer bills for a greater number of hours annually than the average freelance cybersecurity specialist does.
The correct answer is mathematically necessitated by the premises. The stimulus establishes that mobile developers have a lower average hourly rate but a higher average annual income from freelancing. Since total annual freelance income is calculated by multiplying the hourly rate by the number of hours billed, the only way to achieve a higher total income with a lower rate is by billing for a significantly greater number of hours.

Step-by-Step Solution

1
Identify the mathematical relationship implicit in the premises.
Annual Income=Hourly Rate×Hours Billed\text{Annual Income} = \text{Hourly Rate} \times \text{Hours Billed}
This formula connects the variables discussed in the stimulus.
2
Analyze the information provided about hourly rates.
Cybersecurity specialists have a higher average hourly rate than mobile application developers.
This is explicitly stated as the first premise.
3
Analyze the information provided about total annual income.
Mobile application developers have a higher average total annual freelance income than cybersecurity specialists.
This is explicitly stated as the second premise.
4
Synthesize the premises to draw a logically supported inference.
Mobile application developers must bill for more hours.
To achieve a higher total income despite charging a lower hourly rate, they mathematically must be multiplying that rate by a larger number of hours.

Key Concept

Most Strongly Supported Questions
Question 212Question →

A study on workplace environments found that employees stationed in open-plan offices spend, on average, 40 percent more time wearing noise-canceling headphones during the workday compared to employees working in traditional private offices. Furthermore, the researchers noted a strong positive correlation across all office types between the amount of time an employee spends wearing noise-canceling headphones and the frequency with which they report feeling socially isolated from their colleagues.

Based on the information provided, it is most strongly supported that employees in open-plan offices are, on average, more likely to report feeling socially isolated from their colleagues than are employees in traditional private offices.

Show answer & explanation

Answer: True

Answer

The statement is True.
The inference is valid and strongly supported. The text provides two interlocking facts: group A (open-plan workers) has a higher rate of condition B (headphone use) than group C (private office workers). Furthermore, condition B has a strong positive correlation with outcome D (social isolation). Therefore, it is highly probable and strongly supported that group A experiences a higher rate of outcome D than group C.

Step-by-Step Solution

1
Analyze the first premise regarding office types and behavior.
Employees in open-plan offices spend significantly more time wearing noise-canceling headphones on average than those in private offices.
This establishes a behavioral difference between the two demographic groups.
2
Analyze the second premise regarding behavior and reported feelings.
There is a strong positive correlation between time spent wearing headphones and the frequency of reporting social isolation across all office types.
This establishes a link between the behavior identified in Step 1 and a psychological outcome.
3
Synthesize the premises to evaluate the target statement.
Because open-plan workers wear headphones more often, and more headphone use correlates with more social isolation, it is strongly supported that open-plan workers report more social isolation on average.
Combining the statistical premises provides strong logical support for the resulting inference.

Key Concept

Synthesizing statistical and correlational premises to draw a supported probabilistic conclusion.
Question 213Question →

Any satellite or debris fragment in Earth orbit below an altitude of 600 kilometers experiences significant atmospheric drag. Any object experiencing significant atmospheric drag will naturally re-enter Earth's atmosphere and burn up within 25 years. The recent Zenith satellite breakup occurred at an altitude of 500 kilometers. Objects resulting from a satellite breakup initially occupy the same altitude as the breakup event itself, and none of the debris fragments from the Zenith breakup possess propulsion systems capable of raising their altitude.

Based on the information above, which of the following statements are most strongly supported? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: The debris fragments resulting from the Zenith breakup will naturally re-enter Earth's atmosphere within 25 years.; At the time it broke up, the Zenith satellite was experiencing significant atmospheric drag.

Answer

The most strongly supported statements are that the debris fragments resulting from the Zenith breakup will naturally re-enter Earth's atmosphere within 25 years, and that at the time it broke up, the Zenith satellite was experiencing significant atmospheric drag.
The correct statements are direct logical deductions from the text. Because the Zenith satellite was at 500 kilometers, it fell under the rule that anything below 600 kilometers experiences significant drag. Furthermore, because its debris fragments share that altitude and cannot propel themselves higher, they also fall under the rule that objects below 600 kilometers experience significant drag, which guarantees they will re-enter the atmosphere within 25 years.

Step-by-Step Solution

1
Analyze the conditional rules established in the first two sentences.
Rule 1: If object is < 600km -> object experiences significant drag. Rule 2: If object experiences significant drag -> object re-enters within 25 years. Chain: If object is < 600km -> object re-enters within 25 years.
Mapping conditional statements is necessary to determine what inferences can be strictly proven.
2
Apply the factual premises to the conditional chain.
Fact: Zenith broke up at 500km. Therefore, Zenith was < 600km, so it experienced significant drag. Fact: Fragments start at 500km and cannot go higher. Therefore, fragments are < 600km, so they will re-enter within 25 years.
Inferences must be derived by applying the specific facts to the established rules without bringing in outside assumptions.
3
Evaluate the options against the derived inferences.
The correct options match the derived inferences exactly. Incorrect options rely on logical fallacies such as illegal reversals or unwarranted causal claims.
This confirms that the selected answers are structurally sound and supported solely by the text.

Key Concept

Chaining conditional statements and applying specific factual premises to derive guaranteed conclusions.
Question 214Question →

All of the historical novels published by Sterling Press feature a female protagonist. Furthermore, none of the books nominated for this year's National Fiction Prize feature a female protagonist. However, several books published by Sterling Press were nominated for the National Fiction Prize this year.

Which one of the following statements is most strongly supported by the information above?

Show answer & explanation

Answer: At least some books published by Sterling Press are not historical novels.

Answer

At least some books published by Sterling Press are not historical novels.
The correct answer accurately synthesizes the premises without overstating the conclusion. We know that several books published by Sterling Press were nominated for the prize. We also know that none of the nominated books feature a female protagonist. Therefore, those specific Sterling Press books do not feature a female protagonist. Because the stimulus states that all historical novels published by Sterling Press DO feature a female protagonist, those nominated books cannot possibly be historical novels. Thus, it is fully proven that at least some books published by Sterling Press are not historical novels.

Step-by-Step Solution

1
Analyze the first premise regarding Sterling Press historical novels.
Rule 1: If a book is a historical novel published by Sterling Press, it must feature a female protagonist.
This establishes a conditional relationship necessary for deductions.
2
Analyze the second premise regarding the National Fiction Prize nominees.
Rule 2: If a book is nominated for the National Fiction Prize this year, it does not feature a female protagonist.
This establishes a second conditional relationship.
3
Combine the first two rules using their contrapositives.
Since nominees have no female protagonists, and Sterling Press historical novels must have female protagonists, no nominee can be a Sterling Press historical novel.
Chaining conditional statements reveals what must be true when conditions overlap.
4
Apply the final premise to the combined rule.
We know several Sterling Press books were nominated. Based on Step 3, these specific books cannot be historical novels.
Applying the general rule to the specific subset of books provides the final deduction.
5
Formulate the final conclusion.
Because we know of 'several' Sterling Press books that are not historical novels, it is absolutely true that 'at least some' books published by Sterling Press are not historical novels.
This is a safe, strictly supported inference.

Key Concept

Chaining conditional statements and combining them with existential quantifiers (some/several) to derive a proven inference.
Estimated Time:1m 30s
Question 215Question →

Dietary studies of the critically endangered mountain bongo show that its population decline correlates strongly with the loss of its preferred forage, a specific species of high-altitude bamboo. In an effort to reverse this decline, conservationists artificially replanted this bamboo species in several depleted habitats. However, bongo populations in those areas failed to recover. Botanists subsequently discovered that the replanted bamboo, though belonging to the exact same species as the original, was of a different subspecies. This replanted subspecies produces a bitter chemical compound that the bongos find unpalatable.

Based on the information above, the following statement is most strongly supported: Belonging to the mountain bongo's preferred species of bamboo is not a sufficient condition for a plant to be palatable to the mountain bongo.

Show answer & explanation

Answer: True

Answer

The statement is True.
The stimulus explicitly establishes that there is a subspecies of bamboo that belongs to the bongo's preferred species but produces a bitter compound making it unpalatable. Since there is at least one instance where a plant is of the preferred species but is not palatable, belonging to that species cannot be a sufficient condition for palatability.

Step-by-Step Solution

1
Analyze the premises to identify why the mountain bongo populations failed to recover in the replanted areas.
The failure occurred because the replanted bamboo is unpalatable due to a bitter chemical compound.
Understanding the cause of the failure is essential to drawing correct inferences.
2
Identify the biological classification of the unpalatable replanted bamboo.
The text states that the replanted bamboo belongs to the exact same species as the preferred forage, but it is a different subspecies.
Tracking the exact scope of the categories (species vs. subspecies) prevents logical overreach.
3
Evaluate the logical truth of the provided statement based on the identified facts.
Because we have evidence of a bamboo plant that belongs to the preferred species but is unpalatable, it logically follows that belonging to the species is not sufficient to ensure palatability.
To determine whether the statement is strongly supported by the stimulus.

Key Concept

Most Strongly Supported Inferences
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