Examkin

Must Be True / Most Strongly Supported

88 soru

Tüm türler88Çoktan seçmeli45Çoklu seçim23Doğru / Yanlış20
Soru 1Soru →

An environmental audit of reclaimed sub-boreal wetland zones established the following criteria for ecosystem stabilization:

• Any wetland zone that undergoes successful peat layer restoration exhibits stable anaerobic methanogenesis, unless it experiences persistent sulfur runoff.
• Every wetland zone that exhibits stable anaerobic methanogenesis maintains a neutral pH level throughout its rooting substrate.
• No wetland zone that maintains a neutral pH level in its rooting substrate supports the proliferation of invasive reed canary grass.
• During the previous assessment cycle, Zone 14 underwent successful peat layer restoration and did not experience persistent sulfur runoff.

If the statements above are true, which of the following statements must also be true? (Select all that apply.)

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Cevabı ve açıklamayı göster

Cevap: Zone 14 maintains a neutral pH level throughout its rooting substrate.; Any wetland zone in the audit that supports the proliferation of invasive reed canary grass does not exhibit stable anaerobic methanogenesis.

Cevap

The statements establishing that Zone 14 maintains a neutral pH level throughout its rooting substrate and that any wetland zone supporting invasive reed canary grass proliferation does not exhibit stable anaerobic methanogenesis must both be true.
The deduction concerning Zone 14 directly follows from a complete forward chain through the conditional rules triggered by its factual premises. The deduction concerning any zone with canary grass proliferation represents a valid contrapositive linking the absence of proliferation back to the absence of stable anaerobic methanogenesis.

Adım Adım Çözüm

1
Diagram the formal conditional rules from the stimulus.
Rule 1: (Peat Restoration AND NOT Sulfur Runoff) → Stable Methanogenesis. Rule 2: Stable Methanogenesis → Neutral pH. Rule 3: Neutral pH → NOT Invasive Canary Grass Proliferation.
Establishing explicit conditional chains allows for unambiguous forward deductions and contrapositives.
2
Evaluate the factual findings regarding Zone 14.
Zone 14 satisfies both components of the antecedent in Rule 1, establishing that Zone 14 exhibits Stable Methanogenesis → Neutral pH → NOT Invasive Canary Grass Proliferation.
Modus ponens guarantees each successive necessary condition for Zone 14.
3
Derive universal contrapositive inferences for the entire audited population.
By linking Rule 2 and Rule 3: Stable Methanogenesis → NOT Invasive Canary Grass Proliferation. The contrapositive is: Invasive Canary Grass Proliferation → NOT Stable Methanogenesis.
A conditional claim and its contrapositive are logically equivalent.

Anahtar Kavram

Deductive Conditional Chaining and Contrapositive Inference
Tahmini Süre:2m 0s
Soru 2Soru →

Astrophysics engineers established the following operational parameters for orbital deep-space observatories:

• Every deep-space observation satellite equipped with a sub-kelvin bolometer array operates a multistage pulse-tube cryocooler.
• Any satellite operating a multistage pulse-tube cryocooler requires active vibration damping unless it maintains a passive magnetic levitation mount.
• No satellite requiring active vibration damping can perform continuous wide-field interferometry.
• Every satellite that maintains a passive magnetic levitation mount consumes auxiliary solar battery reserve power.

During its calibration phase, the Astraea deep-space observation satellite was equipped with a sub-kelvin bolometer array and successfully performed continuous wide-field interferometry.

If the statements above are true, which of the following statements must also be true? (Select all that apply)

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Cevabı ve açıklamayı göster

Cevap: During its calibration phase, Astraea maintained a passive magnetic levitation mount.; During its calibration phase, Astraea consumed auxiliary solar battery reserve power.

Cevap

During its calibration phase, Astraea maintained a passive magnetic levitation mount, and Astraea consumed auxiliary solar battery reserve power.
The stimulus establishes that Astraea possessed a sub-kelvin bolometer array (guaranteeing it operated a cryocooler) and performed continuous wide-field interferometry (guaranteeing it did not require active vibration damping). Operating the cryocooler without active damping is possible only if a passive magnetic levitation mount is maintained. Furthermore, maintaining such a mount guarantees the consumption of auxiliary solar battery reserve power. Therefore, both the statement that Astraea maintained a passive magnetic levitation mount and the statement that Astraea consumed auxiliary solar battery reserve power must be true.

Adım Adım Çözüm

1
Deduce cryocooler operation from bolometer presence
Astraea operated a multistage pulse-tube cryocooler during calibration.
The first premise states that every satellite equipped with a sub-kelvin bolometer array operates a multistage pulse-tube cryocooler.
2
Deduce absence of active vibration damping from interferometry capability
Astraea did not require active vibration damping.
The third premise states that no satellite requiring active vibration damping can perform continuous wide-field interferometry. Since Astraea performed this interferometry, by contraposition it did not require active vibration damping.
3
Synthesize cryocooler operation and damping absence to deduce mounting mechanism
Astraea maintained a passive magnetic levitation mount.
The second premise states that operating a cryocooler requires active vibration damping unless a passive magnetic levitation mount is maintained. Since Astraea operated the cryocooler but did not require active damping, it must have maintained the passive mount.
4
Deduce power consumption from the mounting mechanism
Astraea consumed auxiliary solar battery reserve power.
The fourth premise states that every satellite maintaining a passive magnetic levitation mount consumes auxiliary solar battery reserve power.

Anahtar Kavram

Multi-premise conditional chaining and contrapositive deductive inference
Soru 3Soru →

Ecologists studying regional disturbance regimes recorded several findings regarding high-elevation alpine forests: Every high-elevation alpine forest that experienced a severe crown fire between 1980 and 2000 has experienced a significant decline in subalpine fir regeneration. Any alpine forest where subalpine fir regeneration declined significantly either transitioned to shrubland or was colonized predominantly by lodgepole pine. In all high-elevation alpine forests where lodgepole pine colonized predominantly, local post-fire soil nitrogen levels remained stable. The Solitude Basin forest is a high-elevation alpine forest that experienced a severe crown fire in 1992, and its local post-fire soil nitrogen levels did not remain stable.

If the ecologists' statements are true, which one of the following statements must also be true?

Cevabı ve açıklamayı göster

Cevap: The Solitude Basin forest transitioned to shrubland.

Cevap

The Solitude Basin forest transitioned to shrubland.
The deduction follows necessarily from the premises. Because the Solitude Basin forest experienced a severe fire in 1992, its subalpine fir regeneration declined, meaning it must have either transitioned to shrubland or been colonized predominantly by lodgepole pine. If it had been colonized predominantly by lodgepole pine, its post-fire soil nitrogen levels would have remained stable. Since its nitrogen levels did not remain stable, it was not colonized predominantly by lodgepole pine, leaving shrubland transition as the only possible outcome.

Adım Adım Çözüm

1
Map the conditional rules from the stimulus.
Severe fire (1980–2000) → Fir decline → (Shrubland OR Predominantly Lodgepole). Also: Predominantly Lodgepole → Stable nitrogen.
Establishing the deductive chain allows valid deductions to be traced step-by-step.
2
Apply the specific facts of Solitude Basin to the conditional chain.
Solitude Basin had a severe fire in 1992 → Experienced fir decline → Must be Shrubland OR Predominantly Lodgepole.
The stimulus gives direct premises regarding Solitude Basin that trigger the sufficient conditions.
3
Use Modus Tollens and Disjunctive Syllogism.
Nitrogen was NOT stable → NOT predominantly lodgepole pine. Since it must be (Shrubland OR Predominantly Lodgepole), it MUST be Shrubland.
Eliminating one branch of a valid disjunction strictly necessitates the truth of the remaining branch.

Anahtar Kavram

Conditional Logic and Disjunctive Syllogism in Deductive Inference
Tahmini Süre:1m 20s
Soru 4Soru →

Any algorithmic trading system that prioritizes latency reduction will inevitably experience elevated order-cancellation rates, unless it utilizes predictive market-making models. However, systems utilizing predictive market-making models are never granted Tier-1 regulatory approval by the financial oversight board. The oversight board grants Tier-1 approval to most trading systems that do not experience elevated order-cancellation rates. Every algorithmic trading system developed by Apex Financial prioritizes latency reduction, yet Apex Financial currently operates several systems that have been granted Tier-1 regulatory approval.

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

Cevabı ve açıklamayı göster

Cevap: Any algorithmic trading system developed by Apex Financial that currently holds Tier-1 regulatory approval experiences elevated order-cancellation rates.

Cevap

Any algorithmic trading system developed by Apex Financial that currently holds Tier-1 regulatory approval experiences elevated order-cancellation rates.
To find what must be true, we combine the facts provided about a specific subset of trading systems: those built by Apex Financial that hold Tier-1 approval. We know every Apex system prioritizes latency reduction. According to the first sentence, any system prioritizing latency reduction must either experience elevated order-cancellation rates or use predictive market-making models. However, because these specific Apex systems hold Tier-1 approval, the second sentence dictates that they cannot possibly be using predictive market-making models (since using them guarantees denial of Tier-1 status). Eliminating the predictive model exception leaves only one possibility: these Tier-1 approved Apex systems must experience elevated order-cancellation rates.

Adım Adım Çözüm

1
Map the formal logic of the general rules.
Rule 1: Prioritize Latency -> (Elevated Rates OR Predictive Models). Rule 2: Predictive Models -> NO Tier-1 Approval (which contraposes to: Tier-1 Approval -> NO Predictive Models).
Translating natural language into conditional logic allows for rigorous deduction.
2
Analyze the specific information given about Apex Financial's systems.
All Apex Systems -> Prioritize Latency. At least some Apex systems have Tier-1 Approval.
We must isolate the specific subset of subjects (Apex Tier-1 systems) to draw a guaranteed conclusion.
3
Apply Rule 2 to the subset of Apex systems with Tier-1 approval.
Because they have Tier-1 approval, these specific Apex systems cannot utilize predictive market-making models.
This establishes one absolute truth about the subset.
4
Apply Rule 1 to the same subset to deduce the final outcome.
Since these systems are built by Apex, they prioritize latency. Thus, they must either have elevated rates or use predictive models. Since Step 3 proved they do NOT use predictive models, they MUST have elevated cancellation rates.
This completes the logical chain, proving the correct inference.

Anahtar Kavram

Formal Logic Deductions, Conditional Chaining, and Existential Quantifiers
Tahmini Süre:2m 0s
Soru 5Soru →

Urban planners for the city of Oakhaven have established the following zoning regulations and observations: Any residential parcel zoned for high-density development must be located within 500 meters of a rapid transit station. Furthermore, if a parcel is located within 500 meters of a rapid transit station and is also zoned for commercial mixed-use, it automatically qualifies for a parking minimum exemption. Currently, no parcels zoned for high-density development qualify for a parking minimum exemption. Finally, most parcels zoned for commercial mixed-use in the downtown district are located within 500 meters of a rapid transit station.

Based on the information above, which of the following statements must be true? (Select all that apply)

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Cevabı ve açıklamayı göster

Cevap: No residential parcel zoned for high-density development is also zoned for commercial mixed-use.; At least some parcels located within 500 meters of a rapid transit station are not zoned for high-density development.

Cevap

The statements that must be true are that no high-density parcel is commercial mixed-use, and that some transit-adjacent parcels are not high-density.
The correct statements reflect logical certainties derived directly from the text. First, because high-density parcels must be near transit, making them commercial mixed-use would trigger an exemption they explicitly do not have; thus, they cannot be commercial mixed-use. Second, because most downtown commercial mixed-use parcels are near transit, and we know they cannot be high-density, it guarantees that at least some transit-adjacent parcels are not high-density.

Adım Adım Çözüm

1
Map the formal logic conditionals from the stimulus.
1: High-Density (HD) -> Near Transit (NT). 2: (NT + Commercial Mixed-Use (CMU)) -> Exemption (E). 3: HD -> ~E. 4: Downtown CMU -most-> NT.
Mapping the premises allows for precise deduction without relying on outside assumptions.
2
Combine premises 1, 2, and 3 to find overlapping conditions.
If a parcel is HD, it is NT. If it were also CMU, it would be NT + CMU, triggering E. But premise 3 says HD -> ~E.
Testing intersection of categories reveals impossible combinations.
3
Deduce the relationship between HD and CMU.
Because being both HD and CMU leads to a contradiction (qualifying for E and not qualifying for E), a parcel cannot be both. Thus, No HD is CMU.
Resolving the contradiction establishes the first objectively true statement.
4
Apply the new deduction to the proportional premise (premise 4).
Since Downtown CMU -most-> NT, there is at least one (in fact, many) NT parcel that is CMU. Since no CMU is HD, these specific NT parcels are not HD.
Combining a 'most' statement with a negative absolute statement yields a 'some are not' deduction.

Anahtar Kavram

Conditional Logic Chaining and Quantifier Intersections
Tahmini Süre:3m 0s
Soru 6Soru →

Under the updated nomenclature established by the interstellar taxonomy committee, any celestial body that has a mass less than 13 Jupiter masses and is not gravitationally bound to a star is designated a planetary-mass isolated object (PMIO). No PMIOs have internal temperatures sufficient to ignite deuterium fusion. Furthermore, every celestial body possessing a detectable circumplanetary dust disk either has an internal temperature sufficient to ignite deuterium fusion or is actively accreting mass from a surrounding stellar nursery. Astronomers recently identified three celestial bodies in the Orion Molecular Cloud that are designated as PMIOs and possess detectable circumplanetary dust disks.

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

Cevabı ve açıklamayı göster

Cevap: The three recently identified celestial bodies in the Orion Molecular Cloud are actively accreting mass from a surrounding stellar nursery.

Cevap

The correct answer is the one stating that the three recently identified celestial bodies in the Orion Molecular Cloud are actively accreting mass from a surrounding stellar nursery.
The correct answer accurately traces a multi-step conditional chain. We are told the three bodies are PMIOs, meaning they lack deuterium fusion. We are also told they have disks, meaning they must either have deuterium fusion or be actively accreting mass. Since we know they lack deuterium fusion, they are logically forced into the second category: they must be actively accreting mass.

Adım Adım Çözüm

1
Analyze the conditions applied to the three newly identified celestial bodies.
The three bodies are designated as PMIOs and possess detectable circumplanetary dust disks.
This establishes the factual starting point to trigger the conditional rules.
2
Apply the rule regarding PMIOs to the three bodies.
Because they are PMIOs, the three bodies do not have internal temperatures sufficient to ignite deuterium fusion.
The stimulus categorically states 'No PMIOs have internal temperatures sufficient to ignite deuterium fusion.'
3
Apply the rule regarding circumplanetary dust disks.
Because they have detectable circumplanetary dust disks, the bodies must either ignite deuterium fusion OR actively accrete mass.
The stimulus dictates a mandatory 'either/or' requirement for any object possessing a detectable circumplanetary dust disk.
4
Synthesize the results from Step 2 and Step 3.
Since the bodies cannot ignite deuterium fusion (Step 2), they must satisfy the other half of the 'either/or' condition: they must be actively accreting mass from a surrounding stellar nursery.
When one option of a mandatory binary requirement is definitively eliminated, the remaining option becomes a logical certainty.

Anahtar Kavram

Formal Logic Deductions with Inclusive Disjunctions and Conditionals
Soru 7Soru →

Cognitive neuropsychologists evaluating language recovery in a prospective clinical cohort established the following facts:

• Any patient exhibiting damage to the left inferior parietal lobule experiences severe phonological retrieval deficits.
• All patients with severe phonological retrieval deficits fail the rapid naming latency benchmark unless they receive structured multimodal speech therapy.
• No patient in the prospective clinical cohort who failed the rapid naming latency benchmark was able to maintain unassisted conversational fluency.
• Some patients in the cohort who received structured multimodal speech therapy nevertheless failed the rapid naming latency benchmark.
• Patient K is a participant in the prospective clinical cohort who maintained unassisted conversational fluency.

Based on the statements above, which of the following must be true? (Select all that apply)

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Patient K did not fail the rapid naming latency benchmark.; If Patient K exhibits damage to the left inferior parietal lobule, Patient K received structured multimodal speech therapy.

Cevap

The statements establishing that Patient K did not fail the rapid naming latency benchmark and that Patient K received structured multimodal speech therapy if exhibiting damage to the left inferior parietal lobule must both be true.
The claim that Patient K did not fail the rapid naming latency benchmark is directly deduced via the contrapositive of the rule that benchmark failure precludes conversational fluency. The conditional claim regarding left inferior parietal lobule damage follows because such damage guarantees a phonological deficit, which would have caused benchmark failure in the absence of therapy; because Patient K did not fail, therapy must have occurred if the damage exists.

Adım Adım Çözüm

1
Analyze the relationship between conversational fluency and the rapid naming benchmark for Patient K.
The stimulus states that no cohort member who failed the benchmark maintained fluency. Because Patient K maintained fluency, Patient K cannot have failed the benchmark.
Applying the contrapositive of the universal rule linking benchmark failure to loss of fluency directly establishes Patient K's benchmark outcome.
2
Evaluate the conditional chain starting from hypothetical damage to the left inferior parietal lobule for Patient K.
Parietal damage guarantees a phonological retrieval deficit. A deficit guarantees failing the benchmark unless therapy is received. Since Step 1 established that Patient K avoided failing the benchmark, having the deficit necessitates having received therapy.
Modus tollens on the conditional rule (Deficit and No Therapy entails Failure) combined with the proven non-failure yields Therapy when Deficit is present.
3
Evaluate the remaining claims against the stimulus to confirm invalid inferences.
Claims asserting universal success from therapy, universal success from the absence of parietal damage, or the complete absence of parietal damage in Patient K are unsupported.
The premises allow individuals receiving therapy to fail and do not restrict other causes of failure or prohibit Patient K from having damage if treated.

Anahtar Kavram

Conditional chaining, contraposition, and exception clauses in formal deductive logic
Tahmini Süre:1m 30s
Soru 8Soru →

Environmental policy analysts documented the following regulatory conditions governing regional water management: Every municipal district that experienced a severe groundwater deficit implemented mandatory aquifer replenishment protocols. No municipal district that implemented mandatory aquifer replenishment protocols permitted unmetered commercial extraction. Some municipal districts that implemented mandatory aquifer replenishment protocols also qualified for federal infrastructural subsidies. Furthermore, any municipal district that qualified for federal infrastructural subsidies was required to publish monthly hydrological audits, and no district required to publish monthly hydrological audits was exempt from state oversight penalties.

If the statements above are true, which of the following must be true?

Cevabı ve açıklamayı göster

Cevap: At least some municipal districts that are subject to state oversight penalties do not permit unmetered commercial extraction.

Cevap

At least some municipal districts that are subject to state oversight penalties do not permit unmetered commercial extraction.
The stimulus establishes that some districts implemented mandatory aquifer replenishment protocols and qualified for federal infrastructural subsidies. Any district that qualified for subsidies had to publish monthly hydrological audits, which in turn means it was not exempt from state oversight penalties. Simultaneously, any district that implemented replenishment protocols did not permit unmetered commercial extraction. Therefore, the specific districts belonging to that intersecting group must be subject to state oversight penalties while not permitting unmetered commercial extraction.

Adım Adım Çözüm

1
Map the universal conditional statements and negative universal constraints into formal chains.
Severe Deficit implies Replenishment Protocols. Replenishment Protocols implies No Unmetered Extraction. Subsidies implies Monthly Audits. Monthly Audits implies Subject to State Oversight Penalties (not exempt).
Establishing individual conditional relationships allows valid contrapositive and sequential deductions.
2
Identify the existential quantifier premise linking the two conditional branches.
There exists a non-empty set of municipal districts that both implemented Replenishment Protocols and qualified for Subsidies.
Quantifier premises ('some') serve as the bridge between otherwise independent conditional chains.
3
Synthesize the properties of the entities residing within the intersection.
Any district in this intersection does not permit unmetered extraction (via the Replenishment Protocol branch) and is subject to state oversight penalties (via the Subsidies to Audits to Penalties chain).
This deductively proves that at least some districts subject to oversight penalties do not permit unmetered commercial extraction.

Anahtar Kavram

Quantifier Intersection and Conditional Chaining
Tahmini Süre:2m 0s
Soru 9Soru →

Materials scientists evaluating marine protective treatments established the following facts regarding commercial hull applications:

• Any protective coating that incorporates fluoropolymer matrix F resists barnacle adhesion in saltwater environments.
• Every coating that resists barnacle adhesion in saltwater environments also prevents hull corrosion, provided the coating is applied at temperatures of at least 15°C.
• Whenever a coating prevents hull corrosion and the vessel receives bi-monthly freshwater washings, the vessel's scheduled drydock interval is extended beyond five years.
• Coating Z incorporates fluoropolymer matrix F, was applied to a commercial cargo vessel at a surface temperature of 21°C, and the vessel receives bi-monthly freshwater washings.

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

Cevabı ve açıklamayı göster

Cevap: The scheduled drydock interval for the commercial cargo vessel treated with Coating Z is extended beyond five years.

Cevap

The scheduled drydock interval for the commercial cargo vessel treated with Coating Z is extended beyond five years.
The conclusion that the drydock interval is extended beyond five years is fully derived through a complete chain of valid deductive steps: Coating Z incorporates fluoropolymer matrix F (ensuring barnacle resistance), was applied at 21°C (ensuring corrosion prevention), and receives bi-monthly freshwater washings (guaranteeing the extended drydock interval).

Adım Adım Çözüm

1
Map the conditional statements provided in the stimulus
(1) Fluoropolymer matrix F → Resists barnacle adhesion; (2) Resists barnacle adhesion + Applied at ≥ 15°C → Prevents hull corrosion; (3) Prevents hull corrosion + Bi-monthly washings → Drydock interval > 5 years.
Establishing explicit conditional chains allows for systematic deductive evaluation.
2
Apply the specific factual premises regarding Coating Z to the first two links of the chain
Coating Z has fluoropolymer matrix F, so it resists barnacle adhesion. Since it was applied at 21°C (which satisfies the ≥ 15°C threshold), Coating Z definitely prevents hull corrosion.
Testing the initial conditions verifies that the intermediate conclusion is soundly triggered.
3
Evaluate the final conditional link
Because Coating Z prevents hull corrosion and the vessel receives bi-monthly freshwater washings, the final necessary outcome is triggered: the scheduled drydock interval is extended beyond five years.
Completing the deduction identifies the statement that is logically guaranteed.

Anahtar Kavram

Deductive Conditional Chaining and Modus Ponens
Soru 10Soru →

According to a municipality's urban planning code, a district can be designated as a 'Tier-1 Hub' only if it possesses both a multi-modal transit center and a residential density exceeding 8080 dwellings per acre. Any district with a residential density exceeding 8080 dwellings per acre will inevitably experience severe infrastructure strain unless it implements a decentralized waste management system. However, districts that rely primarily on historical tourism revenue are legally prohibited from implementing decentralized waste management systems. Currently, every Tier-1 Hub located in the coastal region relies primarily on historical tourism revenue.

Which one of the following conclusions can be most logically drawn from the information provided above?

Cevabı ve açıklamayı göster

Cevap: Any district in the coastal region that does not experience severe infrastructure strain is not designated as a Tier-1 Hub.

Cevap

Any district in the coastal region that does not experience severe infrastructure strain is not designated as a Tier-1 Hub.
The stimulus establishes a clear chain of conditional logic. First, all Tier-1 Hubs have a residential density exceeding 80 dwellings per acre. Second, any district with this density must either implement a decentralized waste management system or inevitably experience severe infrastructure strain. Third, coastal Tier-1 Hubs rely on historical tourism, which legally prohibits them from implementing the decentralized waste management system. Therefore, any coastal Tier-1 Hub has a density over 80 but cannot implement the required waste system, guaranteeing it will experience severe infrastructure strain. The correct answer simply states the contrapositive of this final deduction: if a coastal district does not experience severe infrastructure strain, it cannot possibly be a Tier-1 Hub.

Adım Adım Çözüm

1
Translate the first premise into conditional logic.
Tier-1 Hub → Multi-modal transit AND Density > 80.
The phrase 'only if' introduces necessary conditions for the Tier-1 designation.
2
Translate the second premise into conditional logic.
Density > 80 AND NO Decentralized waste → Severe strain.
The word 'unless' introduces a necessary alternative. If the alternative (waste system) fails, the negative outcome (severe strain) is guaranteed.
3
Translate the third and fourth premises regarding coastal hubs.
Coastal Tier-1 Hub → Historical tourism. Historical tourism → NO Decentralized waste.
This maps the specific constraints placed on Tier-1 Hubs situated in the coastal region.
4
Chain the conditional statements together.
Coastal Tier-1 Hub → Density > 80 AND NO Decentralized waste → Severe strain.
Combining the rules reveals the inevitable outcome: every coastal Tier-1 Hub will experience severe infrastructure strain.
5
Formulate the contrapositive of the final deduction.
NO Severe strain → NOT a Coastal Tier-1 Hub (meaning a coastal district without severe strain cannot be a Tier-1 Hub).
The correct answer on difficult deductive reasoning questions frequently presents the contrapositive of the main logical chain.

Anahtar Kavram

Complex Conditional Chaining and Contrapositives
Tahmini Süre:2m 30s
Soru 11Soru →

Archaeologists analyzing Bronze Age metallurgy across Aegean excavation sites have established the following:

Every Aegean bronze artifact with a tin concentration exceeding 12 percent by weight was forged using cassiterite ore sourced from the Anatolian plateau.
Any artifact forged using Anatolian cassiterite ore contains detectable trace amounts of the isotope lead-208.
Several excavated ceremonial daggers from the settlement of Akrotiri are Aegean bronze artifacts that do not contain detectable trace amounts of lead-208.

If the statements above are true, which one of the following must also be true?

Cevabı ve açıklamayı göster

Cevap: At least some of the ceremonial daggers excavated from Akrotiri do not have a tin concentration exceeding 12 percent by weight.

Cevap

At least some of the ceremonial daggers excavated from Akrotiri do not have a tin concentration exceeding 12 percent by weight.
The stimulus establishes a conditional chain: if an Aegean bronze artifact has a tin concentration exceeding 12 percent, it was forged using Anatolian cassiterite, which in turn guarantees the presence of lead-208. The contrapositive dictates that if an Aegean bronze artifact lacks detectable lead-208, its tin concentration cannot exceed 12 percent. Because several ceremonial daggers from Akrotiri are Aegean bronze artifacts lacking lead-208, it strictly must be true that at least some ceremonial daggers from Akrotiri do not have a tin concentration exceeding 12 percent by weight.

Adım Adım Çözüm

1
Diagram the formal conditional relationship provided in the premises.
Tin concentration > 12% → Anatolian cassiterite → Lead-208 present.
Connecting the two universal conditional statements forms a transitive chain linking high tin concentration to the presence of lead-208.
2
Derive the contrapositive of the combined conditional chain.
No Lead-208 → Not Anatolian cassiterite → Tin concentration ≤ 12%.
A conditional statement is logically equivalent to its contrapositive.
3
Apply the contrapositive deduction to the factual quantifier premise about Akrotiri daggers.
Since several Akrotiri daggers lack lead-208, those specific daggers must have a tin concentration that does not exceed 12 percent by weight.
An existential fact ('several' / 'some') combined with a valid conditional deduction guarantees that those particular items satisfy the necessary condition.

Anahtar Kavram

Deductive Conditional Chaining and Contraposition with Quantifiers
Soru 12Soru →

Under the newly enacted Global Fintech Regulatory Framework, a digital asset is classified as a 'Systemic Risk' if, and only if, it is both widely adopted and structurally opaque. The framework mandates that any digital asset that is structurally opaque must be subject to enhanced auditing protocols. Furthermore, any digital asset that is not backed by sovereign reserves is structurally opaque. Currently, all digital assets issued by decentralized autonomous organizations (DAOs) lack sovereign reserve backing, but only some of them are widely adopted.

Based on the regulatory framework and current conditions described above, which of the following statements must be true? (Select all that apply)

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Every digital asset issued by a decentralized autonomous organization is subject to enhanced auditing protocols.; At least one digital asset issued by a decentralized autonomous organization is classified as a Systemic Risk.

Cevap

The statements that must be true are: 'Every digital asset issued by a decentralized autonomous organization is subject to enhanced auditing protocols' and 'At least one digital asset issued by a decentralized autonomous organization is classified as a Systemic Risk'.
The correct statements are established through direct logical deduction. Because all DAO assets lack sovereign reserve backing, they trigger the condition of being structurally opaque, which in turn necessitates enhanced auditing. This guarantees that every DAO asset is subject to enhanced auditing protocols. Furthermore, since we are told that some DAO assets are widely adopted, and we have proven they are all structurally opaque, there exists at least one asset that is both widely adopted and structurally opaque. Therefore, it is guaranteed that at least one DAO asset is classified as a Systemic Risk.

Adım Adım Çözüm

1
Translate the framework rules into formal conditional statements.
Systemic Risk <--> (Widely Adopted AND Structurally Opaque). Structurally Opaque --> Enhanced Auditing. NOT Sovereign Reserve Backing --> Structurally Opaque.
Formalizing the rules prevents necessary/sufficient confusion and clarifies the exact chain of logical relationships.
2
Map the specific conditions provided regarding DAO assets to the conditional chains.
DAO --> NOT Sovereign Reserve Backing. Therefore, DAO --> Structurally Opaque. We are also given: Some DAO are Widely Adopted.
Connecting the specific group (DAOs) to the general rules allows us to deduce what must be true about that group.
3
Derive the final necessary conclusions based on the logical chains.
Since all DAOs are Structurally Opaque, and Structurally Opaque --> Enhanced Auditing, all DAOs must be subject to Enhanced Auditing. Furthermore, since some DAOs are Widely Adopted, and all DAOs are Structurally Opaque, there are some DAOs that are both. Thus, some DAOs are Systemic Risks.
These derived deductions directly match the correct options, proving they are logically guaranteed by the text.

Anahtar Kavram

Formal Logic Deductions and Conditional Reasoning
Tahmini Süre:2m 30s
Soru 13Soru →

Archaeological metallurgists studying Early Bronze Age tools have established the following facts regarding a collection of recovered Aegean metalwork:

• Every arsenic-bronze dagger that exhibits a dendritic crystalline microstructure was cast using an open stone mold.
• No artifact cast using an open stone mold was alloyed with imported tin from Central Asia.
• Most arsenic-bronze daggers recovered from the Cycladic burial complex were alloyed with imported tin from Central Asia.
• Any artifact that was not alloyed with imported tin from Central Asia exhibits localized surface oxidation.

If the statements above are true, which one of the following must also be true?

Cevabı ve açıklamayı göster

Cevap: At least some arsenic-bronze daggers recovered from the Cycladic burial complex do not exhibit a dendritic crystalline microstructure.

Cevap

At least some arsenic-bronze daggers recovered from the Cycladic burial complex do not exhibit a dendritic crystalline microstructure.
The deduction follows strictly from combining the quantifier statement with the conditional contrapositives. We are given that most Cycladic arsenic-bronze daggers contain imported tin. The second premise states that open stone mold casting precludes imported tin; its contrapositive means that any artifact with imported tin was not cast in an open stone mold. The first premise establishes that having a dendritic microstructure requires open stone mold casting; its contrapositive ensures that an arsenic-bronze dagger not cast in an open stone mold cannot exhibit a dendritic microstructure. Combining these steps guarantees that the majority of Cycladic arsenic-bronze daggers lack a dendritic microstructure, which fully validates the claim that at least some do not.

Adım Adım Çözüm

1
Symbolize the formal conditional relationships and quantifiers from the premises.
Premise 1: (Arsenic-Bronze Dagger AND Dendritic Microstructure) → Open Stone Mold. Premise 2: Open Stone Mold → NOT Imported Tin. Premise 3: Most Cycladic Arsenic-Bronze Daggers → Imported Tin. Premise 4: NOT Imported Tin → Surface Oxidation.
Clarifies the logical dependencies and chainable terms without extraneous narrative detail.
2
Derive the contrapositive of Premise 2 and connect it to Premise 1.
Imported Tin → NOT Open Stone Mold. By contrapositive of Premise 1: (Arsenic-Bronze Dagger AND NOT Open Stone Mold) → NOT Dendritic Microstructure. Therefore, for any arsenic-bronze dagger: Imported Tin → NOT Dendritic Microstructure.
Allows deduction of microstructural characteristics directly from the presence of imported tin.
3
Apply the derived conditional chain to the quantified subset in Premise 3.
Because 'most' Cycladic arsenic-bronze daggers contain imported tin, that majority subset cannot have been cast in an open stone mold and therefore cannot exhibit a dendritic crystalline microstructure. A majority ('most') strictly entails 'at least some'.
Deduces the necessary inference that is logically guaranteed by the intersection of the conditional chain and the quantifier.

Anahtar Kavram

Quantifier Intersection and Conditional Contrapositive Chaining
Tahmini Süre:2m 0s
Soru 14Soru →

Marine geochemists and oceanographers surveying benthic hydrothermal fields have established the following facts regarding deep-sea vent systems:

• Any hydrothermal site that hosts hyperthermophilic methanogen colonies exhibits sub-seafloor serpentinization.
• No site exhibiting sub-seafloor serpentinization possesses basalt crust younger than one million years.
• Every hydrothermal site possessing basalt crust of at least one million years is situated along an ultra-slow spreading ridge.
• Some hydrothermal sites situated along an ultra-slow spreading ridge generate diffuse, low-temperature venting rather than focused chimney discharge.
• Any hydrothermal site that generates diffuse, low-temperature venting is incapable of sustaining predatory siphonophore populations.

Which of the following statements must be true based on the oceanographers' findings? Select all that apply.

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Cevabı ve açıklamayı göster

Cevap: Any hydrothermal site that hosts hyperthermophilic methanogen colonies is situated along an ultra-slow spreading ridge.; At least some hydrothermal sites situated along an ultra-slow spreading ridge are incapable of sustaining predatory siphonophore populations.

Cevap

The statements that must be true are the one establishing that any site hosting hyperthermophilic methanogen colonies is on an ultra-slow spreading ridge, and the one establishing that at least some sites along an ultra-slow spreading ridge cannot sustain predatory siphonophores.
The first valid statement directly follows from transitive conditional chaining: Methanogen colonies →\rightarrow Serpentinization →\rightarrow Basalt crust ≥1\ge 1 million years →\rightarrow Ultra-slow spreading ridge. The second valid statement follows from combining the existential premise (some ultra-slow ridge sites have diffuse venting) with the universal conditional rule (diffuse venting →\rightarrow cannot sustain siphonophores), which strictly proves that some ultra-slow ridge sites cannot sustain siphonophores.

Adım Adım Çözüm

1
Formalize the universal conditional statements from the stimulus into symbolic chains.
Methanogen colonies imply Serpentinization; Serpentinization implies Basalt crust ≥1\ge 1 million years; Basalt crust ≥1\ge 1 million years implies Ultra-slow spreading ridge. Diffuse venting implies No siphonophores.
Establishing explicit conditional linkages allows for valid chain deductions and contrapositives.
2
Synthesize the conditional chain from methanogen presence to ridge location.
Methanogen →\rightarrow Serpentinization →\rightarrow Crust ≥1\ge 1 million years →\rightarrow Ultra-slow ridge. Therefore, Methanogen →\rightarrow Ultra-slow ridge.
Transitivity of conditional relationships guarantees that any site hosting methanogens must be on an ultra-slow ridge.
3
Combine the existential quantifier statement with the dependent conditional rule.
There exist ultra-slow ridge sites with diffuse venting, and all diffuse venting sites lack siphonophores. Thus, some ultra-slow ridge sites cannot sustain siphonophores.
An existential statement combined with a universal rule governing the subgroup strictly proves an existential conclusion about that subgroup.
4
Evaluate and eliminate all invalid inferences.
Reversals, invalid negations, and unwarranted universal generalizations are discarded.
Only deductively guaranteed statements satisfy the standard for must be true questions.

Anahtar Kavram

Conditional Chaining and Quantifier Synthesis in Formal Deductive Logic
Tahmini Süre:2m 0s
Soru 15Soru →

Archival conservators analyzing the preservation of historical documents have established the following facts regarding iron gall ink manuscripts:

• Any manuscript written with iron gall ink that is kept in an environment where relative humidity exceeds 65 percent undergoes acid hydrolysis, which accelerates cellulose breakdown.
• If cellulose breakdown is accelerated in a manuscript, its paper substrate becomes brittle unless the manuscript has been treated with a calcium phytate deacidification wash.
• Every manuscript in the Morrison Collection that exhibits paper substrate brittleness also exhibits significant copper ion migration into its surrounding binding.
• None of the manuscripts in the Morrison Collection have ever received a calcium phytate deacidification wash.

If the statements above are true, which one of the following must also be true?

Cevabı ve açıklamayı göster

Cevap: Any manuscript in the Morrison Collection written with iron gall ink that is kept in an environment where relative humidity exceeds 65 percent exhibits significant copper ion migration into its surrounding binding.

Cevap

Any manuscript in the Morrison Collection written with iron gall ink that is kept in an environment where relative humidity exceeds 65 percent exhibits significant copper ion migration into its surrounding binding.
The correct statement is logically guaranteed by linking the stimulus premises: an iron gall manuscript kept above 65 percent relative humidity experiences accelerated cellulose breakdown; since Morrison Collection items lack calcium phytate washes, this breakdown ensures substrate brittleness, which in turn guarantees copper ion migration into the binding.

Adım Adım Çözüm

1
Formalize the conditional premises from the stimulus
1. Iron Gall + RH > 65% → Acid Hydrolysis → Accelerated Cellulose Breakdown
2. Accelerated Cellulose Breakdown + No Calcium Phytate Wash → Brittle Substrate
3. Morrison Collection + Brittle Substrate → Copper Ion Migration
4. Morrison Collection → No Calcium Phytate Wash
Establishing explicit conditional representations isolates the logical links between properties.
2
Connect the premises applicable to manuscripts in the Morrison Collection
For any Morrison Collection manuscript: Iron Gall + RH > 65% leads to Accelerated Cellulose Breakdown. Because all Morrison manuscripts lack the wash, this breakdown strictly guarantees Brittle Substrate, which in turn strictly guarantees Copper Ion Migration.
Combining the universal collection property with the conditional rules yields an unbroken deductive deduction.
3
Identify the statement that matches this direct deduction
The statement asserting that an iron gall manuscript in the Morrison Collection kept at RH > 65% must exhibit copper ion migration is logically certain.
A valid 'Must Be True' conclusion must follow inevitably without importing outside assumptions.

Anahtar Kavram

Deductive Conditional Chaining
Tahmini Süre:1m 20s
Soru 16Soru →

Under Mediterranean maritime customary tribunals applying the Lex Rhodia doctrine, a shipmaster was permitted to enforce general average indemnification against cargo owners for emergency jettison of cargo during storms only if the vessel had passed an official seaworthiness inspection prior to departure and a majority of onboard merchant supercargoes voted to ratify the jettison. Furthermore, no tribunal would enforce an indemnification claim if the vessel carried unmanifested contraband goods during the voyage. Following a storm during an 842 CE voyage from Amalfi to Alexandria, the vessel Galatea lost cargo due to emergency jettison, and the maritime tribunal subsequently ordered the cargo owners to pay general average indemnification to the shipmaster.

Statement: Based on the facts established above, the Galatea was not carrying unmanifested contraband goods during the voyage, and a majority of the onboard merchant supercargoes ratified the jettison.

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True
The statement must be true because the tribunal's enforcement of the indemnification claim logically requires the satisfaction of all mandatory statutory conditions established in the premises: the absence of unmanifested contraband and the ratification by a majority of the supercargoes.

Adım Adım Çözüm

1
Formalize the conditional relationships stated in the stimulus.
Enforce Indemnification implies Seaworthiness Inspection, Majority Supercargo Ratification, and No Unmanifested Contraband.
The phrase 'only if' introduces necessary conditions, while the rule that 'no tribunal would enforce... if contraband was carried' establishes that carrying contraband is sufficient to preclude enforcement (Contraband implies No Indemnification; by contrapositive, Indemnification implies No Contraband).
2
Identify the verified factual outcome from the historical case.
The maritime tribunal formally ordered the cargo owners to pay general average indemnification.
This establishes that the sufficient condition for all necessary prerequisites has occurred.
3
Deduce the truth value of the compound statement.
Both conjuncts—that the vessel carried no unmanifested contraband and that a majority of supercargoes ratified the jettison—are logically guaranteed.
Because the necessary conditions must hold whenever the outcome is realized, the compound statement must be true.

Anahtar Kavram

Deductive Conditional Inference and Necessary Condition Fulfillment
Soru 17Soru →

Archivists examining medieval mercantile guilds in the Rhine Valley have established the following records:

• Every guild granted an imperial customs exemption operated at least one bonded river quay.
• Some guilds that operated bonded river quays were not permitted to mint local coinage.
• Any guild that maintained a sworn arbitration council was permitted to mint local coinage and held an imperial customs exemption.
• No guild that failed to maintain a sworn arbitration council was authorized to levy warehouse tariffs.

If the statements above are true, which one of the following must also be true?

Cevabı ve açıklamayı göster

Cevap: At least some guilds that operated bonded river quays were not authorized to levy warehouse tariffs.

Cevap

At least some guilds that operated bonded river quays were not authorized to levy warehouse tariffs.
The correct answer synthesizes the existential premise with two successive contrapositives: the stimulus establishes that some quay-operating guilds lacked permission to mint coinage; lacking minting permission guarantees the absence of an arbitration council; and lacking an arbitration council guarantees that the guild was not authorized to levy warehouse tariffs.

Adım Adım Çözüm

1
Formalize the conditional premises and quantifier statement.
Exemption → Quay; Some Quay AND NOT Minting; Council → (Minting AND Exemption); NOT Council → NOT Tariffs (equivalent to: Tariffs → Council).
Translating the stimulus into formal logical relationships clarifies necessary versus sufficient conditions and quantifiers.
2
Take the contrapositive of the council-to-minting relationship.
Since Council → Minting, it follows that NOT Minting → NOT Council.
Failing to satisfy a necessary condition guarantees the absence of the sufficient condition.
3
Chain the derived contrapositive with the tariff restriction premise.
Because NOT Council → NOT Tariffs, combining this yields NOT Minting → NOT Tariffs.
Transitive chaining establishes that any guild unable to mint coinage is strictly barred from levying warehouse tariffs.
4
Apply the existential premise to the derived chain.
There exist guilds operating bonded river quays that cannot mint coinage; therefore, those specific guilds cannot be authorized to levy warehouse tariffs.
Instantiating the existential subset into the valid conditional chain strictly guarantees the conclusion.

Anahtar Kavram

Quantifier-conditional synthesis and contrapositive chaining
Tahmini Süre:1m 50s
Soru 18Soru →

Every industrial facility that implements closed-loop solvent recycling reduces its hazardous wastewater discharge by more than 80 percent. No industrial facility operating in the river basin reduced its hazardous wastewater discharge by more than 80 percent last year unless it received a green modernization subsidy from the municipal environmental authority. Furthermore, any facility that received a green modernization subsidy was subject to unannounced quarterly compliance audits. Apex Chemical, an industrial facility operating in the river basin, was not subject to unannounced quarterly compliance audits last year.

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

Cevabı ve açıklamayı göster

Cevap: Apex Chemical did not implement closed-loop solvent recycling last year.

Cevap

Apex Chemical did not implement closed-loop solvent recycling last year.
The correct inference strictly follows from contrapositive deduction along the conditional chain. The stimulus establishes that for any facility operating in the river basin, implementing closed-loop solvent recycling guarantees a wastewater discharge reduction of over 80 percent, which in turn requires receiving a green modernization subsidy, which in turn requires being subject to unannounced quarterly compliance audits. Because Apex Chemical operates in the basin and was not subject to quarterly audits, it could not have received the subsidy, could not have achieved the discharge reduction, and therefore could not have implemented closed-loop solvent recycling.

Adım Adım Çözüm

1
Map the conditional statements in the stimulus into formal logical relationships.
Statement 1: Closed-Loop Recycling →\rightarrow Discharge Reduction >80%>80\%. Statement 2 (for basin facilities): Discharge Reduction >80%→>80\% \rightarrow Modernization Subsidy. Statement 3: Modernization Subsidy →\rightarrow Quarterly Audits.
Establishing the precise direction of conditional requirements allows for valid contrapositive chaining.
2
Chain the conditional statements for an industrial facility operating in the river basin.
For any basin facility: Closed-Loop Recycling →\rightarrow Discharge Reduction >80%→>80\% \rightarrow Modernization Subsidy →\rightarrow Quarterly Audits.
Combining the premises establishes that undergoing quarterly audits is a necessary condition for any basin facility that implemented closed-loop recycling.
3
Apply the contrapositive to the factual information provided about Apex Chemical.
Apex Chemical is in the river basin and was NOT subject to quarterly audits. By contrapositive: Not Audited →\rightarrow No Subsidy →\rightarrow No Discharge Reduction >80%→>80\% \rightarrow No Closed-Loop Recycling.
Denying the necessary end condition guarantees the denial of all preceding sufficient conditions in the chain.

Anahtar Kavram

Multi-premise conditional deduction via contrapositive chaining
Tahmini Süre:1m 45s
Soru 19Soru →

In hydrothermal vent ecosystems, every organism that produces nutrients without sunlight utilizes chemosynthetic bacteria. All chemosynthetic bacteria active at these vents generate carbohydrates by metabolizing either dissolved sulfides or methane, and any chemosynthetic bacterium that metabolizes dissolved sulfides inevitably yields sulfate byproducts. Giant tubeworms thriving at hydrothermal vents depend exclusively on symbiotic bacteria that metabolize dissolved sulfides.

If the statements above are true, which one of the following must also be true?

Cevabı ve açıklamayı göster

Cevap: The symbiotic bacteria utilized by giant tubeworms at hydrothermal vents yield sulfate byproducts.

Cevap

The symbiotic bacteria utilized by giant tubeworms at hydrothermal vents yield sulfate byproducts.
The correct response strictly follows by combining two stated premises: giant tubeworms depend on bacteria that metabolize dissolved sulfides, and any chemosynthetic bacterium metabolizing dissolved sulfides inevitably produces sulfate byproducts.

Adım Adım Çözüm

1
Identify the premises regarding giant tubeworms and their metabolic partners.
Giant tubeworms depend exclusively on symbiotic bacteria that metabolize dissolved sulfides.
Establishing the specific metabolic pathway utilized by tubeworm symbionts isolates the applicable rule.
2
Connect the specific finding to the general conditional rule regarding sulfide metabolism.
Any chemosynthetic bacterium metabolizing dissolved sulfides yields sulfate byproducts.
Applying the universal rule to the specific subset yields a direct deductive consequence.
3
Synthesize the premises to draw the deductive conclusion.
Because tubeworm symbionts metabolize dissolved sulfides, they necessarily yield sulfate byproducts.
This conclusion is strictly entailed by the premises without requiring outside assumptions.

Anahtar Kavram

Deductive Conditional Synthesis and Quantifier Tracking
Tahmini Süre:1m 20s
Soru 20Soru →

In the field of computational linguistics, any parsing algorithm that efficiently resolves left-branching ambiguities must utilize a dynamic memoization matrix. Furthermore, if a parsing algorithm utilizes a dynamic memoization matrix, it cannot operate strictly in linear time unless it is restricted exclusively to context-free grammars. The newly developed 'Verde' parsing algorithm efficiently resolves left-branching ambiguities, yet it is specifically designed to handle context-sensitive grammars, which are explicitly not context-free. Finally, at least some parsing algorithms that operate strictly in linear time are currently utilized in commercial translation software.

Based on the information provided, which of the following statements must be true? (Select all that apply.)

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Cevabı ve açıklamayı göster

Cevap: The Verde algorithm does not operate strictly in linear time.; The Verde algorithm utilizes a dynamic memoization matrix.

Cevap

The statements that must be true are that the Verde algorithm utilizes a dynamic memoization matrix, and that it does not operate strictly in linear time.
The correct statements are direct deductions from chaining the conditional rules. The Verde algorithm is stated to be efficient, triggering the rule that it must use a dynamic memoization matrix. Because it uses this matrix and is explicitly not context-free, it triggers the second rule (using matrix + not context free -> not linear time). Therefore, it must be true that Verde uses a matrix, and it must be true that Verde does not operate in linear time.

Adım Adım Çözüm

1
Map the first conditional premise.
If an algorithm efficiently resolves left-branching ambiguities, then it must utilize a dynamic memoization matrix (Efficient -> Matrix).
This establishes the fundamental requirement for parsing efficiency in this context.
2
Map the complex 'unless' conditional premise.
If an algorithm uses a dynamic memoization matrix, then it cannot operate in linear time UNLESS it is restricted to context-free grammars (Matrix + Not Context-Free -> Not Linear Time).
The word 'unless' introduces a necessary exception. If the exception is not met, the main clause applies.
3
Apply the established rules to the specific case of the Verde algorithm.
Because Verde efficiently resolves left-branching ambiguities, it must utilize a dynamic memoization matrix. Because it handles context-sensitive grammars, it is not restricted to context-free grammars.
Connecting the factual statements about Verde to the conditional rules yields deductions about its properties.
4
Chain the deductions to reach final conclusions.
Since Verde utilizes a matrix AND is not context-free, it triggers the rule from Step 2. Therefore, Verde cannot operate strictly in linear time.
Formal logic dictates that satisfying the sufficient conditions of a valid rule guarantees the necessary condition.

Anahtar Kavram

Formal Logic: Conditional Chaining and Contrapositives
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Must Be True / Most Strongly Supported Alıştırma Soruları — LSAT | Examkin