Inference and Deduction

215 soru

Soru 181Soru →

Any employee of Zenith Corporation who accesses the secure data server must possess a Level 4 security clearance. Only employees who work in either the engineering division or the executive branch possess a Level 4 security clearance. All employees in the executive branch are strictly required to submit a comprehensive weekly audit report. At least some employees in the engineering division are not required to submit a weekly audit report. Marcus is a Zenith Corporation employee who recently accessed the secure data server, but he is not required to submit a weekly audit report.

Based on the information above, Marcus must work in the engineering division.

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Cevap: True

Cevap

True
The statement is true because the premises provide a strict chain of logical conditions that force Marcus into the engineering division. By accessing the server, he acquires the necessary condition of holding a Level 4 clearance. This clearance acts as a sufficient condition to place him in either the engineering or executive groups. His lack of a reporting requirement mathematically eliminates the executive branch, leaving the engineering division as the only logically valid conclusion.

Adım Adım Çözüm

1
Determine Marcus's clearance level based on his actions.
Marcus must have a Level 4 clearance.
The stimulus states that any employee who accesses the secure data server must possess Level 4 clearance, and Marcus accessed the server.
2
Identify the possible divisions Marcus could work in given his clearance.
Marcus must work in either the engineering division or the executive branch.
The stimulus states that only employees in the engineering division or executive branch possess Level 4 clearance.
3
Determine if Marcus can belong to the executive branch.
Marcus cannot be in the executive branch.
All executive branch employees must submit a weekly audit report. Marcus is not required to submit one, so by contrapositive, he is not in the executive branch.
4
Conclude Marcus's division based on the remaining possibilities.
Marcus must be in the engineering division.
Since he must be in either engineering or executive, and he is not in executive, he must be in engineering.

Anahtar Kavram

Conditional logic, contrapositives, and disjunctive syllogism in deductive reasoning
Soru 182Soru →

Analyze the four formal logic setups involving professional and social categories. Match each premise setup to the precise logical deduction or scope limit that uniquely follows from it.

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Öğeler

All judges are lawyers. Most judges are politicians. Most politicians are wealthy.
Most judges are lawyers. Most judges are politicians. All politicians are wealthy.
All judges are politicians. Most politicians are lawyers. Most politicians are wealthy.
Most judges are politicians. All politicians are lawyers. All lawyers are wealthy.

Eşleşmeler

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Cevap

Setup 1 matches the deduction that some lawyers are politicians but none are necessarily wealthy. Setup 2 matches the deduction that most judges are wealthy but not all politicians are lawyers. Setup 3 matches the deduction that some lawyers are wealthy but no judges are necessarily lawyers. Setup 4 matches the deduction that all politicians are lawyers and wealthy, but most lawyers are not necessarily politicians.
Each setup uniquely allows for precise deductions based on formal logic rules: universal chaining (All A are B + All B are C -> All A are C), majority overlaps within the same group (Most A are B + Most A are C -> Some B are C), and universal/majority combinations (Most A are B + All B are C -> Most A are C).

Adım Adım Çözüm

1
Analyze Setup 1: All judges are lawyers. Most judges are politicians. Most politicians are wealthy.
Deduce that since judges are a subset of lawyers, and most judges are politicians, there is an overlap guaranteeing some lawyers are politicians. Note that 'Most politicians are wealthy' cannot be chained back.
To identify that while 'some lawyers are politicians' must be true, we lack evidence to prove any lawyers are wealthy.
2
Analyze Setup 2: Most judges are lawyers. Most judges are politicians. All politicians are wealthy.
Deduce that combining 'Most judges are politicians' and 'All politicians are wealthy' yields 'Most judges are wealthy'. We cannot prove all politicians are lawyers.
To find the unique matching deduction regarding what must be true (most judges are wealthy) versus what is unsupported.
3
Analyze Setup 3: All judges are politicians. Most politicians are lawyers. Most politicians are wealthy.
Deduce that two majorities of the same group (politicians) must intersect, proving some lawyers are wealthy. However, the subset 'judges' might not intersect with the 'lawyers' majority.
To confirm that while some lawyers must be wealthy, we cannot guarantee any judges are lawyers.
4
Analyze Setup 4: Most judges are politicians. All politicians are lawyers. All lawyers are wealthy.
Deduce through universal chaining that all politicians are wealthy (and lawyers). However, 'All politicians are lawyers' does not mean 'Most lawyers are politicians'.
To verify that all politicians are both lawyers and wealthy, but it is not necessarily true that most lawyers are politicians.

Anahtar Kavram

Quantifier Logic (Some, Most, All) Valid Inferences and Scope Limitations
Tahmini Süre:3m 0s
Soru 183Soru →

In a comprehensive genetic study of an isolated Alpine ibex population, researchers discovered that any individual possessing the H4 allele also exhibited an unusually high metabolic rate. Furthermore, the researchers observed that a majority of the ibexes exhibiting this unusually high metabolic rate were resistant to a prevalent parasitic infection, *P. montanus*. However, not a single ibex possessing the H4 allele demonstrated resistance to *P. montanus*.

Which one of the following is most strongly supported by the researchers' findings?

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Cevap: Less than half of the ibexes in the population that exhibit an unusually high metabolic rate possess the H4 allele.

Cevap

Less than half of the ibexes in the population that exhibit an unusually high metabolic rate possess the H4 allele.
The stimulus establishes that every ibex with the H4 allele is part of the 'high metabolic rate' group, but absolutely none of them possess resistance to the parasite. However, we are also told that a *majority* (more than half) of the 'high metabolic rate' group *does* possess resistance. This means the non-resistant portion of the 'high metabolic rate' group must make up a minority (less than half). Since all of the H4 ibexes are forced into this non-resistant minority, the H4 ibexes themselves must constitute less than half of the 'high metabolic rate' group.

Adım Adım Çözüm

1
Map the first conditional premise.
If an ibex has the H4 allele, it has a high metabolic rate (H4 -> High Metabolic Rate).
This establishes that the group of H4 ibexes is a subset of the group of ibexes with high metabolic rates.
2
Map the quantifier premise.
Most ibexes with a high metabolic rate are resistant to P. montanus (High Metabolic Rate -most-> Resistant).
This tells us that over 50% of the high metabolic rate group falls into the 'Resistant' category.
3
Map the final negative conditional premise.
If an ibex has the H4 allele, it is NOT resistant to P. montanus (H4 -> NOT Resistant).
This establishes the relationship between the H4 subset and the resistance characteristic.
4
Synthesize the mappings to find the numerical overlap.
Since all H4 ibexes have high metabolic rates but none are resistant, they must belong entirely to the portion of the high metabolic rate group that is NOT resistant.
Combining the subset rule (Step 1) with the negative constraint (Step 3) isolates where the H4 group fits within the larger metabolic group.
5
Determine the maximum size of the H4 group relative to the high metabolic rate group.
Because over 50% of the high metabolic rate group IS resistant, the non-resistant portion must be strictly less than 50%. Therefore, the H4 group (which is part of that non-resistant portion) must be less than half of the high metabolic rate group.
This mathematically proves the relationship required to select the correct answer.

Anahtar Kavram

Synthesizing conditional statements with formal logic quantifiers ('most', 'some', 'all') to deduce proportional limits.
Tahmini Süre:2m 0s
Soru 184Soru →

Under the newly enacted Digital Data Protection Directive (DDPD), any corporation that processes biometric data must designate a specialized compliance officer, unless the corporation operates exclusively in the healthcare sector. Furthermore, all corporations designated as "high-volume data handlers" process biometric data. However, a recent survey of the healthcare sector reveals that no healthcare corporation currently employs a specialized compliance officer, even though some healthcare corporations are high-volume data handlers. Finally, any corporation that employs a specialized compliance officer is subject to annual independent audits.

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

Geçerli olan tümünü seçin

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Cevap: Any corporation that is a high-volume data handler but does not operate exclusively in the healthcare sector is subject to annual independent audits.; At least some corporations that process biometric data do not employ a specialized compliance officer.

Cevap

The statements 'Any corporation that is a high-volume data handler but does not operate exclusively in the healthcare sector is subject to annual independent audits' and 'At least some corporations that process biometric data do not employ a specialized compliance officer' are both correct.
The correct options strictly synthesize the provided premises. First, by linking the conditional rules: high-volume data handlers must process biometric data. If they are outside healthcare, they must have a compliance officer, which guarantees an annual audit. Second, by linking the quantified facts: since some healthcare corporations are high-volume data handlers, they process biometric data. Since no healthcare corporation employs a compliance officer, it logically follows that some corporations processing biometric data do not have one.

Adım Adım Çözüm

1
Map the conditional rules provided in the stimulus.
Rule 1: Processes Biometric Data (PBD) AND NOT Healthcare (HC) -> Specialized Compliance Officer (SCO). Rule 2: High-Volume Data Handler (HVDH) -> PBD. Rule 3: SCO -> Annual Independent Audit (AIA).
Diagramming formal logic is necessary to track the strict requirements and exemptions.
2
Chain the conditional rules to find valid deductive inferences.
Combining Rule 2, Rule 1, and Rule 3 yields: HVDH AND NOT HC -> PBD AND NOT HC -> SCO -> AIA. This validates the statement that any non-healthcare HVDH is subject to audits.
This confirms the first correct option by logically linking the start and end of the conditional chain.
3
Analyze the quantified statements regarding the healthcare sector.
Fact 1: Some HC are HVDH. Fact 2: No HC has an SCO. Since HVDH implies PBD, there are some HC that are PBD. Since no HC has an SCO, these specific PBD corporations do not have an SCO.
Synthesizing intersecting facts with quantifiers ('some', 'no') proves the existential claim in the second correct option.
4
Evaluate the incorrect options for logical flaws.
Eliminate options that reverse conditional rules (claiming AIA -> PBD), assume proportional quantities (claiming 'most' non-SCO corporations are HC), or introduce unstated real-world rationales for the healthcare exemption.
Most Strongly Supported questions rely strictly on the provided text; any deviation constitutes a logical fallacy.

Anahtar Kavram

Synthesizing conditional logic chains and existential quantifiers to derive necessary conclusions.
Soru 185Soru →

Marine biologists studying the newly discovered Marianas deep-sea caldera have cataloged various unique species. According to their findings, all organisms that inhabit the caldera's core depend entirely on chemosynthesis for survival. Furthermore, most of the organisms inhabiting the caldera's core lack photobiological receptors. Interestingly, any organism that migrates to the epipelagic zone possesses photobiological receptors. Finally, researchers noted that some organisms dependent on chemosynthesis are active filter feeders.

Which one of the following logically follows from the researchers' findings?

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Cevap: At least some organisms that depend entirely on chemosynthesis do not migrate to the epipelagic zone.

Cevap

At least some organisms that depend entirely on chemosynthesis do not migrate to the epipelagic zone.
The correct answer properly chains the provided formal logic. Since any organism that migrates possesses photobiological receptors (Migrate →\rightarrow Receptors), it logically follows via contrapositive that any organism lacking these receptors does not migrate (No Receptors →\rightarrow No Migrate). We are told that most caldera core inhabitants lack these receptors; therefore, most caldera core inhabitants do not migrate. Finally, because all caldera core inhabitants depend entirely on chemosynthesis, this specific non-migrating group forms a part of the chemosynthesis-dependent population. Thus, it must be true that at least some organisms dependent on chemosynthesis do not migrate.

Adım Adım Çözüm

1
Diagram the formal relationships provided in the stimulus.
1. Core →\rightarrow Chemosynthesis. 2. Core (most) →\rightarrow No Receptors. 3. Migrate →\rightarrow Receptors. 4. Chemosynthesis (some) →\rightarrow Filter Feeder.
Mapping the exact logical quantifiers prevents relying on outside assumptions and highlights formal connections.
2
Find the contrapositive of the strict conditional regarding migration.
If Migrate →\rightarrow Receptors, then No Receptors →\rightarrow No Migrate.
Contrapositives allow us to connect negative premises to strict conditional rules.
3
Chain the 'most' statement with the contrapositive.
Core (most) →\rightarrow No Receptors →\rightarrow No Migrate. Therefore, most Core inhabitants do not migrate.
A 'most' statement can be validly chained into a strict sufficient/necessary conditional to yield a new 'most' deduction.
4
Combine the deduction with the first premise to find the overlapping subset.
All Core inhabitants are Chemosynthesis-dependent. Since most Core inhabitants do not migrate, at least some Chemosynthesis-dependent organisms do not migrate.
If a subset (Core) has a certain property (No Migrate), and that entire subset belongs to a larger group (Chemosynthesis), then at least some members of the larger group must have that property.

Anahtar Kavram

Chaining 'most' statements with conditional contrapositives and inferring 'some' from subset relationships.
Tahmini Süre:2m 0s
Soru 186Soru →

At the city's architectural preservation site, most of the historic buildings were constructed before the year 1900. Furthermore, most of the historic buildings at the site feature masonry facades. All buildings constructed before 1900 at the site are protected by the heritage registry.

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

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Cevap: At least some buildings protected by the heritage registry feature masonry facades.

Cevap

The correct answer is the statement that at least some buildings protected by the heritage registry feature masonry facades.
The premises establish that 'most' historic buildings are pre-1900 and 'most' feature masonry facades. Because both statements apply to the majority of the exact same group, there must be a mathematical overlap: at least some historic buildings are both pre-1900 and feature masonry. The stimulus then states that all pre-1900 buildings are protected by the heritage registry. Since we already proved that some of those pre-1900 buildings have masonry facades, those specific overlapping buildings must also be protected. Therefore, it is definitively true that at least some protected buildings feature masonry facades.

Adım Adım Çözüm

1
Identify and map the formal quantifier relationships provided in the premises.
1. Most Historic -> Pre-1900
2. Most Historic -> Masonry
3. All Pre-1900 -> Protected
Deconstructing the stimulus into formal logical notation is the first step to making rigorous deductions.
2
Combine the two 'most' statements concerning the same subject group (Historic buildings).
Since 'most' indicates more than 50%, the two groups (Pre-1900 and Masonry) must overlap. Therefore, at least some Pre-1900 buildings feature Masonry.
In quantifier logic, any two 'most' statements applied to the exact same population logically guarantee an intersection (a 'some' statement).
3
Chain the resulting 'some' statement with the 'all' statement.
Since 'Some Pre-1900 -> Masonry' and 'All Pre-1900 -> Protected', it logically follows that 'Some Protected -> Masonry'.
A 'some' statement can be chained with an 'all' statement if the 'all' condition applies to the shared term, transferring the trait to the new group.

Anahtar Kavram

Deducing overlaps from multiple 'most' statements and chaining them with 'all' statements.
Soru 187Soru →

A national health ministry is establishing new regulatory standards for clinical trials. The regulations are governed by the following conditional rules:

- Any trial that tests a novel medical device must undergo a rigorous safety audit.
- A rigorous safety audit is conducted only if the trial employs an independent oversight committee.
- If a trial employs an independent oversight committee, then it must allocate five percent of its budget to patient advocacy.
- A trial cannot employ an independent oversight committee if it is exclusively sponsored by a for-profit pharmaceutical company.
- Unless a trial allocates five percent of its budget to patient advocacy, it cannot qualify for the federal innovation grant.
- All trials that are exclusively sponsored by a for-profit pharmaceutical company must undergo a commercial viability review.

Match each proposed clinical trial profile below with the deductive inference that must logically follow from the regulations.

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Öğeler

A trial that tests a novel medical device
A trial exclusively sponsored by a for-profit pharmaceutical company
A trial that qualifies for the federal innovation grant but does not employ an independent oversight committee
A trial that fails to allocate five percent of its budget to patient advocacy

Eşleşmeler

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Cevap

The correct matches pair each trial profile with its necessary deductive inferences: 1) Testing a novel medical device pairs with employing an oversight committee and allocating budget to patient advocacy. 2) For-profit sponsorship pairs with undergoing a commercial viability review and being unable to test a novel device. 3) Qualifying for the federal grant without an oversight committee pairs with allocating budget to patient advocacy and avoiding a rigorous safety audit. 4) Failing to allocate budget to patient advocacy pairs with being unable to qualify for the federal grant and unable to test a novel medical device.
Each correct match is derived by applying the rules of formal logic—specifically transitive chaining and contrapositives—to the conditional regulations provided. Testing a novel device triggers a chain reaction leading to patient advocacy funding. Corporate sponsorship forbids the oversight committee, which backwards-chains to forbid testing a novel device. The federal grant requires patient advocacy, while lacking an oversight committee backwards-chains to forbid the safety audit. Failing to fund patient advocacy backwards-chains to eliminate the federal grant and all prerequisites leading up to patient advocacy.

Adım Adım Çözüm

1
Translate the regulatory rules into formal conditional statements using abbreviations.
Let ND = novel device, RSA = rigorous safety audit, IOC = independent oversight committee, PA = patient advocacy, FPC = for-profit pharmaceutical company, FIG = federal innovation grant, CVR = commercial viability review.
Rule 1: ND -> RSA
Rule 2: RSA -> IOC
Rule 3: IOC -> PA
Rule 4: FPC -> ~IOC
Rule 5: FIG -> PA (translated from 'Unless PA, ~FIG')
Rule 6: FPC -> CVR
Converting natural language with complex indicators ('only if', 'unless', 'cannot... if') into formal logic simplifies the deduction process and exposes transitive relationships.
2
Combine the conditional statements into logical chains.
Core Chain: ND -> RSA -> IOC -> PA
Branch 1: FPC -> ~IOC and FPC -> CVR
Branch 2: FIG -> PA
Contrapositive of Core Chain: ~PA -> ~IOC -> ~RSA -> ~ND
Connecting overlapping necessary and sufficient conditions creates the deductive pathways required to solve the question.
3
Analyze each trial profile against the established chains to identify the necessary inferences.
Profile 1 (ND): Following the Core Chain, ND guarantees RSA, IOC, and PA.
Profile 2 (FPC): FPC guarantees CVR, and triggers ~IOC. Through the contrapositive chain, ~IOC -> ~RSA -> ~ND.
Profile 3 (FIG and ~IOC): FIG guarantees PA. The condition ~IOC triggers the contrapositive ~IOC -> ~RSA -> ~ND. Thus, PA and ~RSA are deduced.
Profile 4 (~PA): Taking the contrapositive of Branch 2, ~PA -> ~FIG. Through the contrapositive of the Core Chain, ~PA -> ~IOC -> ~RSA -> ~ND. Thus, ~FIG and ~ND are deduced.
Matching the given conditions in the profiles to the beginning of the logical chains reveals all downstream deductions.

Anahtar Kavram

Chaining Conditional Statements and Contrapositives
Soru 188Soru →

An analysis of global tech startups founded in 2020 revealed that every startup that achieved profitability within its first three years utilized a decentralized workforce model. Not every startup utilizing this model achieved profitability, however. Interestingly, of the startups that did achieve profitability in that timeframe, a majority were originally founded by individuals with no prior experience in the technology sector.

Determine whether the following statement is TRUE or FALSE:

Based strictly on the analysis provided, the claim that 'a majority of the tech startups founded in 2020 by individuals with no prior technology experience utilized a decentralized workforce model' is strongly supported.

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Cevap: False

Cevap

False
The claim is false because it relies on an illegal reversal of a 'most' statement. While the premises establish that most of the profitable startups were founded by inexperienced individuals, we cannot logically conclude that most of the inexperienced individuals' startups were profitable. Consequently, we cannot apply the rule regarding decentralized models to the majority of startups founded by inexperienced individuals. The only logically valid inference is that at least some inexperienced founders utilized the model.

Adım Adım Çözüm

1
Map the formal logic and quantifier relationships provided in the stimulus.
1. Achieved Profitability (AP) -> Decentralized Model (DM).
2. Most AP are No Prior Experience (NPE).
Diagramming the exact relationships prevents intuitive but logically flawed assumptions.
2
Identify the logical relationship required by the claim being evaluated.
The claim requires proving that 'Most NPE are DM'.
This establishes the target mathematical or logical boundary we must verify against the premises.
3
Compare the required relationship against the established premises to check for validity.
We know 'Most AP are NPE'. We cannot logically reverse this to conclude 'Most NPE are AP'. Without knowing that most NPE are AP, we cannot chain it to DM. The only valid inference is that 'at least some NPE are DM'.
Reversing a 'most' statement is a classic logical fallacy. Recognizing this flaw proves the claim is not supported by the text.

Anahtar Kavram

Synthesizing conditional logic with quantifiers and avoiding illegal quantifier reversals.
Soru 189Soru →

The Board of Antiquities has issued the following directives for affiliated institutions: Any institution that acquires a Class I historical artifact must possess a reinforced subterranean vault. An institution is eligible for the federal preservation grant only if it acquires a Class I historical artifact. Furthermore, unless an institution maintains a specialized restoration laboratory, it cannot possess a reinforced subterranean vault. Finally, an institution can host the biennial symposium only if it is eligible for the federal preservation grant.

Based on the directives above, which of the following must be true?

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Cevap: If an institution does not maintain a specialized restoration laboratory, it cannot host the biennial symposium.

Cevap

If an institution does not maintain a specialized restoration laboratory, it cannot host the biennial symposium.
Based on the formal logic chain derived from the directives, hosting the biennial symposium requires being eligible for the grant, which requires a Class I artifact, which requires a vault, which requires a restoration laboratory (HBS -> SRL). Therefore, by taking the contrapositive, if an institution lacks a restoration laboratory, it cannot host the biennial symposium (~SRL -> ~HBS).

Adım Adım Çözüm

1
Translate the first premise into formal logic
Acquires Class I (C1) -> Subterranean Vault (RSV)
The word 'Any' introduces a sufficient condition.
2
Translate the second premise into formal logic
Preservation Grant (FPG) -> Acquires Class I (C1)
The phrase 'only if' introduces a necessary condition.
3
Translate the third premise into formal logic
Subterranean Vault (RSV) -> Restoration Lab (SRL)
The word 'unless' means 'if not'. 'Unless SRL, ~RSV' translates to 'If RSV, then SRL'.
4
Translate the fourth premise into formal logic
Biennial Symposium (HBS) -> Preservation Grant (FPG)
The phrase 'only if' introduces a necessary condition.
5
Chain the statements and find the contrapositive
Chain: HBS -> FPG -> C1 -> RSV -> SRL. Contrapositive: ~SRL -> ~HBS
Connecting the necessary condition of one statement to the sufficient condition of another reveals the full logical chain. The contrapositive of this full chain must also be true.

Anahtar Kavram

Chaining conditional statements with various indicator words (any, only if, unless) and forming contrapositives.
Soru 190Soru →

Consider the following premises regarding staff at the Central Research Institute:

All research fellows at the institute possess a doctoral degree.
Most research fellows at the institute are currently directing a grant-funded project.
Most research fellows at the institute have served on the ethics board.

Based on these premises, the following deduction must be true: At least some individuals who are directing a grant-funded project and have served on the ethics board possess a doctoral degree.

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Cevap: True

Cevap

True. The formal logic premises guarantee that at least one individual satisfies all three conditions.
The conclusion logically follows from the premises. The intersection of two 'most' statements concerning the same base group (research fellows) proves that 'some' research fellows have both characteristics. Applying the universal 'all' condition to these specific fellows proves they must also hold a doctoral degree.

Adım Adım Çözüm

1
Analyze the relationship between the two 'most' premises applied to the same group.
Identify that because 'most' means strictly more than half, the group of research fellows directing projects and the group serving on the board must overlap by at least one person.
Two 'most' statements applied to the exact same finite group mathematically require an intersection (yielding a 'some' statement).
2
Apply the 'all' premise to the overlapping group identified in Step 1.
Conclude that since all research fellows possess a doctoral degree, the specific research fellow(s) who both direct a project and serve on the board must inherently possess a doctoral degree.
A universal 'all' statement applies to every single member of the group, which inherently includes any and all subsets.
3
Evaluate the target statement against the deductions.
The target statement claims 'some individuals' (meaning at least one) have all three characteristics, which perfectly matches the deduction.
To confirm if the statement logically must be true based strictly on the formal logic of the provided premises.

Anahtar Kavram

Quantifier Overlap (Most + Most = Some)
Soru 191Soru →

In arid regions, agricultural yields have historically been limited more by phosphorus availability than by nitrogen availability. Certain desert shrubs, such as the creosote bush, exude organic acids from their roots that convert insoluble rock phosphates into a bioavailable form. Consequently, soil samples taken from the immediate vicinity of these shrubs show significantly higher concentrations of bioavailable phosphorus than soil from open areas just a few meters away. Nonetheless, agricultural crops planted directly adjacent to creosote bushes typically exhibit severely stunted growth.

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

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Cevap: In arid regions, a high concentration of bioavailable phosphorus in the soil is not sufficient to prevent agricultural crops from exhibiting severely stunted growth.

Cevap

In arid regions, a high concentration of bioavailable phosphorus in the soil is not sufficient to prevent agricultural crops from exhibiting severely stunted growth.
The correct answer safely synthesizes the facts that soil near creosote bushes has high concentrations of bioavailable phosphorus, but crops planted there still exhibit stunted growth. This strictly proves that having an abundance of bioavailable phosphorus does not guarantee healthy, uninhibited crop growth.

Adım Adım Çözüm

1
Analyze the factual premises provided in the stimulus.
Fact 1: Phosphorus availability limits yields. Fact 2: Creosote bushes create bioavailable phosphorus. Fact 3: Soil near creosote bushes has high bioavailable phosphorus. Fact 4: Crops planted near creosote bushes have stunted growth.
Breaking down the passage into core premises is necessary to determine what inferences can be safely drawn without relying on outside assumptions.
2
Synthesize the facts to find a logically supported inference.
Combining Fact 3 and Fact 4 reveals a scenario where high bioavailable phosphorus and stunted crop growth coexist in the exact same location.
Most Strongly Supported questions frequently require connecting two or more premises to deduce a new, strictly verifiable statement.
3
Evaluate the options against the synthesized facts to find the most verifiable claim.
The correct statement identifies that the presence of high phosphorus does not prevent stunted growth, directly reflecting the coexistence established in step 2.
The correct answer must safely reflect the text without overstating the evidence or assuming unstated causal mechanisms.

Anahtar Kavram

Synthesizing premises to form a safe, limited inference while avoiding unsupported causal assumptions.
Soru 192Soru →

In formal logic, specific quantifier combinations yield strictly valid deductions. Analyze the four multi-premise setups below, each from a different domain. Match each setup to the abstract description of its logically valid deduction.

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Öğeler

Ecology: All wetland ecosystems support amphibian populations, and most wetland ecosystems are highly sensitive to pollution.
Astronomy: Most exoplanets in the catalog orbit red dwarf stars, and every exoplanet that orbits a red dwarf star is tidally locked.
Archaeology: All artifacts found in the lower stratum predate the Bronze Age, yet some artifacts found in the lower stratum are not made of stone.
Policy: Most of the university's board members voted for the expansion, and most of the university's board members are alumni.

Eşleşmeler

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Cevap

Ecology matches the 'some members of the broader category...' deduction; Astronomy matches the 'majority of the initial group...' deduction; Archaeology matches the 'some members of the enclosing category must lack...' deduction; Policy matches the 'two traits must overlap...' deduction.
To solve quantifier logic setups, you must track the formal relationships without being distracted by the subject matter. 1. Ecology (All A are B + Most A are C) proves that the trait 'C' transfers to the broader category 'B'. 2. Astronomy (Most A are B + All B are C) proves that the majority of 'A' is enclosed in 'C'. 3. Archaeology (All A are B + Some A are not C) proves that the 'not C' trait transfers to the enclosing category 'B'. 4. Policy (Most A are B + Most A are C) proves that traits 'B' and 'C' must overlap.

Adım Adım Çözüm

1
Diagram the Ecology setup.
All W -> A (W is a subset of A). Most W -> S. The W's that are S are also A's, yielding the deduction: Some A are S.
To identify the abstract logical result, we must map the specific categories (W, A, S) to their roles: subset, broader category, and trait.
2
Diagram the Astronomy setup.
Most E -> R. All R -> T. Because the 'Most E' group is entirely contained within R, and R is entirely within T, that 'Most E' group must be within T. Deduction: Most E are T.
This establishes a transitive 'Most' relationship passing through an 'All' relationship.
3
Diagram the Archaeology setup.
All L -> P (L is a subset of P). Some L -> ~S. Those specific L's that are not S must still be inside P. Deduction: Some P are ~S.
This confirms how a negative 'Some' statement interacts with an enclosing 'All' statement.
4
Diagram the Policy setup.
Most B -> V. Most B -> A. Because both represent more than 50% of the exact same parent group (B), they must mathematically intersect. Deduction: Some V are A.
This tests the classic 'Most + Most = Some' overlap rule.

Anahtar Kavram

Formal deduction using combinations of 'All', 'Most', and 'Some' quantifiers, specifically recognizing transitive properties and mathematical overlaps of majorities.
Soru 193Soru →

Most urban planners employed by the city hold degrees in architecture. Furthermore, most urban planners employed by the city have worked in the public sector for at least five years. According to municipal guidelines, all individuals who have worked in the public sector for at least five years are eligible for the municipal leadership grant.

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

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Cevap: At least one person holding a degree in architecture is eligible for the municipal leadership grant.

Cevap

At least one person holding a degree in architecture is eligible for the municipal leadership grant.
The correct answer properly identifies the guaranteed overlap between two 'most' statements applied to the same group. Since most urban planners have architecture degrees and most have five years of public sector experience, at least one person must have both. Furthermore, because the stimulus states that ALL individuals with five years of public sector experience are eligible for the grant, that specific overlapping person (who is an architect) must be eligible for the grant.

Adım Adım Çözüm

1
Analyze the first two premises regarding 'most' relationships within a single group.
Identify that 'most' urban planners are architects, and 'most' urban planners have five years of public sector experience.
When two 'most' statements apply to the exact same population (urban planners), the two subgroups must logically overlap by at least one member.
2
Form a deduction from the overlapping 'most' statements.
Conclude that there is at least one urban planner who is BOTH an architect AND has five years of public sector experience.
If group A is >50% of the total and group B is >50% of the total, their combined sum exceeds 100%, meaning they must share at least one individual.
3
Apply the conditional 'all' rule to the deduced overlap.
Because the overlapping individual has five years of public sector experience, and ALL such individuals are eligible for the grant, this individual must be eligible.
Applying a universal rule ('all') to a specific subject confirms a property of that subject.
4
Synthesize the final deduction.
Since the overlapping individual is an architect and is eligible for the grant, it must be true that at least one person holding an architecture degree is eligible for the grant.
This directly matches the logically proven facts.

Anahtar Kavram

Deducing overlap from two 'most' statements about the same subject group, and chaining that overlap with an 'all' statement.
Soru 194Soru →

In the deep-sea ecosystem known as the twilight zone, all bioluminescent predators possess specialized photophores that emit blue light. Organisms of the genus *Vampyroteuthis* found in this zone emit only red light. Furthermore, marine biologists have confirmed that every organism emitting red light in the twilight zone feeds exclusively on marine detritus.

Based on the information provided, it is most strongly supported that any organism in the twilight zone that feeds exclusively on marine detritus emits only red light.

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Cevap: False

Cevap

False
The statement is false because it commits a conditional logic flaw known as an illegal reversal. The stimulus explicitly states that every organism emitting red light feeds exclusively on marine detritus (Red Light -> Detritus). However, the proposed statement reverses this relationship, claiming that feeding on detritus means an organism emits red light (Detritus -> Red Light). Without further evidence establishing that ONLY red-light emitters eat detritus, this inference cannot be supported.

Adım Adım Çözüm

1
Analyze the conditional relationships provided in the stimulus.
Identified the rule: If an organism emits red light, then it feeds exclusively on marine detritus (Red Light -> Detritus).
Mapping the exact direction of conditional logic is essential for evaluating inference validity.
2
Evaluate the proposed inference in the final statement.
The statement claims: If an organism feeds exclusively on marine detritus, then it emits only red light (Detritus -> Red Light).
Comparing the proposed inference to the established premises reveals whether the logic is logically sound or flawed.
3
Determine if the inference is logically supported by the premises.
The inference is an illegal reversal of the premise. The text does not provide evidence about all detritus-feeders.
An illegal reversal (affirming the consequent) does not yield a valid inference; thus, the statement is unsupported.

Anahtar Kavram

Identifying Conditional Logic Flaws in Inferences
Soru 195Soru →

A comprehensive analysis of the national retail beverage market revealed that among boutique health-food stores, artisanal fruit juices aggressively marketed through lifestyle influencers sell in significantly higher volumes than artisanal juices supported solely by traditional print advertising. However, when analyzing aggregate national sales data—which incorporates major supermarket chains and bulk discount retailers—artisanal juices supported by traditional print advertising consistently outsell those relying exclusively on influencer marketing. Market research indicates that major supermarkets and bulk retailers account for over 85% of all artisanal juice sales nationwide, while boutique health-food stores account for roughly 8%.

Based on the analysis, it is most strongly supported that, of the total national sales of artisanal fruit juices marketed through lifestyle influencers, the percentage sold at boutique health-food stores is greater than the corresponding percentage for artisanal juices supported solely by traditional print advertising.

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Cevap: True

Cevap

The statement is logically supported and therefore True.
The inference correctly combines two absolute volume comparisons (one for a specific retail sub-segment, one for the total market) to definitively prove a relationship between two proportions. Because influencer-marketed juices have a larger numerator (boutique sales) and a smaller denominator (total sales) compared to print-marketed juices, their corresponding percentage must mathematically be greater. The statement is entirely supported by the text.

Adım Adım Çözüm

1
Define the mathematical relationship required to find the percentage of total sales occurring at boutique stores for each marketing type.
The percentage is calculated as: Boutique SalesTotal National Sales×100\frac{\text{Boutique Sales}}{\text{Total National Sales}} \times 100.
This establishes the core fractions that need to be compared to evaluate the claim in the statement.
2
Determine the relative sizes of the numerators (Boutique Sales) based on the stimulus.
Influencer-marketed boutique sales > Print-marketed boutique sales.
The stimulus explicitly states that among boutique stores, influencer-marketed juices sell in significantly higher volumes.
3
Determine the relative sizes of the denominators (Total National Sales) based on the stimulus.
Print-marketed national sales > Influencer-marketed national sales.
The stimulus explicitly states that in aggregate national sales, print-marketed juices consistently outsell those relying exclusively on influencers.
4
Synthesize the inequalities to evaluate the final statement.
Because the Influencer fraction has a larger numerator and a smaller denominator, it must be true that Influencer BoutiqueInfluencer Total>Print BoutiquePrint Total\frac{\text{Influencer Boutique}}{\text{Influencer Total}} > \frac{\text{Print Boutique}}{\text{Print Total}}.
Basic proportional logic dictates that simultaneously increasing the numerator and decreasing the denominator of a positive fraction will strictly increase its overall value.

Anahtar Kavram

Synthesizing absolute quantitative comparisons to definitively deduce proportional and percentage relationships.
Soru 196Soru →

During the medieval period, the techniques used to construct monumental cathedrals were closely guarded secrets, known only to members of exclusive stonemason guilds. These guilds strictly prohibited their members from documenting these techniques in writing. Instead, methods were transmitted orally and practically, and only to apprentices who had served in the guild for at least seven years. Historians note that when a highly complex architectural feature suddenly appears in two distant European cities during the same decade, it is almost certain that either master masons migrated between the two cities, or one city acquired the other's masons as spoils of war. The "flying buttress," a highly complex architectural feature, first appeared in both City P and City Q during the 1180s. However, extensive political archives confirm that City P and City Q were never involved in any wars or armed conflicts with each other or any common enemies during the 12th century.

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

Geçerli olan tümünü seçin

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Cevap: It is highly probable that master stonemasons migrated between City P and City Q in or just prior to the 1180s.; Builders in City P did not learn how to construct the flying buttress by consulting written construction manuals.

Cevap

The most strongly supported statements are that master stonemasons highly likely migrated between City P and City Q, and that builders in City P did not learn the technique from written manuals.
The correct statements synthesize the given facts directly. The statement about migration is a valid deduction: since the shared feature requires either migration or war, and war is explicitly ruled out by the archives, migration is highly probable. The statement about written manuals directly applies the premise that guilds prohibited writing down techniques, meaning builders could not have learned them from texts.

Adım Adım Çözüm

1
Analyze the conditional relationships regarding the spread of architectural features.
Appearance in two distant cities in same decade implies Migration OR War Spoils.
To establish the possible causes for the flying buttress appearing in both City P and City Q in the 1180s.
2
Evaluate the evidence regarding City P and City Q.
There were no wars or armed conflicts involving these cities in the 12th century, eliminating 'War Spoils'.
To logically deduce which of the two possible causes must be the correct one (Migration).
3
Analyze the transmission of knowledge within the guilds.
Knowledge was never documented in writing; it was only transmitted orally to senior apprentices.
To evaluate claims about how the architectural feature was learned by builders.

Anahtar Kavram

Drawing strictly supported inferences by synthesizing multiple premises and recognizing conditional boundaries.
Soru 197Soru →

In a recent study of urban microclimates, meteorologists observed that every neighborhood in City M with a high concentration of high-rise glass buildings experiences a "heat island" effect, in which evening temperatures remain at least 3 degrees Celsius higher than those in surrounding rural areas. However, not all neighborhoods experiencing this heat island effect contain high-rise glass buildings; several historic districts comprised entirely of low-rise brick structures also record evening temperatures at least 3 degrees higher than the rural baseline. The study further noted that while high-rise glass buildings significantly reduce local wind speeds, these historic brick districts maintain wind speeds comparable to those in rural areas.

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

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Cevap: A reduction in local wind speeds is not necessary for a neighborhood in City M to experience the heat island effect.

Cevap

A reduction in local wind speeds is not necessary for a neighborhood in City M to experience the heat island effect.
The stimulus explicitly states that the historic brick districts experience the heat island effect while simultaneously maintaining wind speeds comparable to rural areas. Since these specific brick districts exhibit the heat island effect without any significant reduction in wind speeds, it logically follows that a reduction in wind speeds cannot be a necessary condition for the effect to occur.

Adım Adım Çözüm

1
Identify the characteristics of the historic brick districts from the stimulus.
The text states they experience the heat island effect AND maintain wind speeds comparable to rural areas.
Tracking the specific attributes of different groups is essential for making valid deductions.
2
Analyze the relationship between the heat island effect and wind speeds in these brick districts.
Because these districts maintain rural wind speeds, they do not experience a significant reduction in local wind speeds.
This establishes a factual scenario where the heat island effect exists without reduced wind speeds.
3
Determine what this implies about necessary conditions.
If an effect can occur without a specific factor, that factor cannot be a necessary condition for the effect.
This is the core logical deduction required to find the most strongly supported statement.
4
Synthesize the findings to match the correct option.
A reduction in local wind speeds is not necessary for a neighborhood to experience the heat island effect.
This matches the deduction derived directly from the historic brick districts' data.

Anahtar Kavram

Synthesizing factual premises to deduce the absence of a necessary condition.
Soru 198Soru →

A recent audit of the city's public transit network revealed several operational details. Most of the transit routes in the northern sector currently operate at a financial loss. Furthermore, all transit routes that operate at a financial loss are heavily subsidized by the municipal government. Interestingly, the audit also showed that most of the transit routes in the northern sector are serviced exclusively by hybrid vehicles.

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

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Cevap: At least some transit routes serviced exclusively by hybrid vehicles are heavily subsidized by the municipal government.

Cevap

At least some transit routes serviced exclusively by hybrid vehicles are heavily subsidized by the municipal government.
The correct answer is derived by combining three premises. First, because most northern routes operate at a loss and all loss-making routes are subsidized, we can definitively deduce that most northern routes are subsidized. Second, we are explicitly told that most northern routes are serviced by hybrid vehicles. Because more than half of the northern routes are subsidized and more than half are serviced by hybrid vehicles, there must be an overlap between these two groups. Therefore, it is absolutely true that at least some routes with hybrid vehicles are subsidized.

Adım Adım Çözüm

1
Chain the first two premises to form a new deduction.
Deduction: Most of the transit routes in the northern sector are heavily subsidized.
If most northern routes operate at a loss, and every route operating at a loss is subsidized, then logically, most northern routes must be subsidized.
2
Analyze the final premise in relation to the new deduction.
We now have two facts about the northern sector: Most of its routes are subsidized, and most of its routes are serviced exclusively by hybrid vehicles.
Identifying multiple 'most' statements about the exact same subject group (northern sector routes) is the key to unlocking the final inference.
3
Apply the overlapping quantifiers rule.
Conclusion: At least some routes serviced by hybrid vehicles are subsidized.
If a majority of a defined group possesses trait X, and a majority of that same group possesses trait Y, there is a mathematical necessity that at least one member of the group possesses both trait X and trait Y.

Anahtar Kavram

Formal logic deductions using overlapping quantifiers, specifically deriving a 'some' statement from two intersecting 'most' statements applied to the same group.
Soru 199Soru →

Recent isotopic analyses of bronze artifacts found in the ancient city of Kanesh indicate that the copper used in their production was mined exclusively from the Ergani region, located to the east. However, the tin used in these same artifacts bears an isotopic signature matching mines in the distant west, far beyond the established trade networks of Kanesh's empire. Written records from Kanesh detail extensive trade with the east, but they contain no mention of any trade routes extending to the western regions where the tin originated.

Based on the information above, the following statement is most strongly supported:

The written records of Kanesh must be incomplete because they fail to document the city's direct trade with the western tin mines.

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Cevap: False

Cevap

The statement is False because it assumes direct trade occurred, which is a leap in logic not supported by the premises.
The statement is not strongly supported because it assumes the existence of 'direct trade' between Kanesh and the western mines. The stimulus only proves that the tin originated in the west; it is entirely possible that Kanesh acquired the tin through intermediary merchants, meaning the written records might be perfectly complete and accurate despite omitting direct western routes.

Adım Adım Çözüm

1
Analyze the premises provided in the stimulus.
Premise 1: Copper came from the east. Premise 2: Tin came from the distant west. Premise 3: Kanesh records detail eastern trade but do not mention western trade routes.
To establish the factual boundaries of what can be proven based strictly on the text.
2
Examine the statement to be evaluated.
The statement claims the records are incomplete due to a failure to document 'direct trade' with the western tin mines.
To identify the exact claim being tested for support and isolate any new concepts introduced.
3
Compare the statement's claims against the established premises.
The premises confirm the geographic origin of the tin but do not establish the method of acquisition. The statement introduces the concept of 'direct trade', which is not mentioned or necessitated by the premises.
To determine if the statement logically follows from the text without requiring outside assumptions.

Anahtar Kavram

Evaluating whether a conclusion introduces unwarranted outside information or assumptions not strictly supported by the premises.
Soru 200Soru →

Match each set of formal premises concerning ancient linguistics and archaeology to the logically valid deduction that must follow from it.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

All translated scrolls from the Qumari archive discuss astronomical phenomena. Furthermore, most of the translated scrolls from the Qumari archive were authored by temple priests.
Most scholars specializing in Qumari syntax are proficient in early Veldtian dialects. Additionally, most scholars specializing in Qumari syntax have published peer-reviewed research.
Every known Veldtian dialect employs a base-eight counting system. However, some known Veldtian dialects lack dedicated future-tense verb forms.
Most excavated Veldtian trade outposts contained mercantile ledgers. Every excavated Veldtian trade outpost that contained mercantile ledgers was situated along a major coastal route.

Eşleşmeler

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Cevap

Setup 1 matches with the inference about works authored by temple priests. Setup 2 matches with the inference about published individuals being proficient in Veldtian dialects. Setup 3 matches with the inference about base-eight dialects lacking future tense. Setup 4 matches with the inference about the majority of outposts being on coastal routes.
Each correct pairing strictly follows formal quantifier logic rules without introducing outside assumptions. The overlaps of 'All/Most', 'Most/Most', and 'All/Some' establish mathematically guaranteed intersections, while the 'Most/All' chain allows a valid transitive 'Most' deduction.

Adım Adım Çözüm

1
Analyze the first set of premises: All Q are A, and Most Q are P.
Deduce that because more than half of Q is P, and 100% of Q is A, there must be an overlap. Therefore, Some P are A.
Combining an 'All' and a 'Most' statement about a shared sufficient condition always yields a 'Some' conclusion.
2
Analyze the second set of premises: Most S are V, and Most S are R.
Deduce that two majorities of the same group must intersect. Therefore, Some R are V.
If >50% of a group has trait X, and >50% has trait Y, at least one member must have both traits.
3
Analyze the third set of premises: All V are B, and Some V are not F.
Deduce that the specific 'V's that are not 'F' must still be 'B'. Therefore, Some B are not F.
A 'Some' statement introduces an existing subset, which inherits all universal ('All') traits of the parent group.
4
Analyze the fourth set of premises: Most O are L, and All L within O are C.
Deduce that because the subset L makes up most of O, and all L are C, C must also make up most of O. Therefore, Most O are C.
This is a restricted transitive property where a universal condition applied to a majority subset transfers the majority status to the conclusion.

Anahtar Kavram

Logical deduction using combinations of 'All', 'Most', and 'Some' quantifiers to determine guaranteed overlaps.
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Inference and Deduction Alıştırma Soruları — LSAT — Sayfa 10 | Examkin