Examkin

Logical Reasoning and Analytical Ability

493 questions

All types493Multiple choice252Multiple select97True / False59Numeric6Matching51Ordering20Short answer8
Question 341Question →

Statement: 'The city health department has issued an advisory asking all citizens to use mosquito nets while sleeping during the rainy season to prevent dengue.'

Which of the following assumptions are implicit in the given statement? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Mosquitoes that transmit dengue are active and pose a threat during the rainy season.; Using a mosquito net is an effective method to prevent mosquito bites while sleeping.

Answer

The correct assumptions are that dengue-transmitting mosquitoes are active during the rainy season, and that using mosquito nets is an effective prevention method.
The correct options are valid assumptions because for the health department's advisory to be rational, the department must take for granted that the threat (mosquitoes) is present during the specified time (rainy season) and that the proposed solution (mosquito nets) is actually effective at stopping them.

Step-by-Step Solution

1
Identify the core message and purpose of the statement.
The statement is an official advisory recommending the use of mosquito nets during the rainy season to prevent dengue.
Understanding the premise is required to evaluate what unstated facts must be true for the advisory to make sense.
2
Evaluate the validity of the first correct option.
The statement must assume mosquito activity increases or is prevalent during the rainy season; otherwise, the specific seasonal warning would be illogical.
An assumption is a missing link that makes the author's statement rational.
3
Evaluate the validity of the second correct option.
The statement must assume mosquito nets work. Authorities do not advise utilizing ineffective solutions to prevent a disease.
Official advisories inherently assume the recommended action is capable of achieving the stated protective goal.
4
Evaluate the incorrect options against the definition of an assumption.
Free distribution of nets and dengue being exclusive strictly to the rainy season are not necessary premises for the advisory to be issued.
Assumptions must be necessary and taken for granted by the speaker, not just possible inferences or extreme generalizations.

Key Concept

Identifying unstated premises required for an advisory or course of action to be logically sound.
Question 342Question →

Read the following statement and conclusion carefully.

Statement: 'The 2026 National Cybersecurity Directive mandates that all government departments must conduct external security audits annually to minimize the risk of data breaches.'
Conclusion: 'Government departments that comply with this directive and conduct the annual audits will be completely immune to data breaches.'

Based strictly on the provided statement, this conclusion is logically valid.

Show answer & explanation

Answer: False

Answer

The conclusion is logically invalid because minimizing a risk is not equivalent to achieving complete immunity.
The correct evaluation is false because the conclusion uses absolute language ('completely immune') that cannot be derived from the statement. A policy designed to 'minimize the risk' does not guarantee absolute prevention of data breaches.

Step-by-Step Solution

1
Analyze the core premise of the given statement.
The statement declares that annual external audits are required to 'minimize the risk' of data breaches in government departments.
Identifying the exact scope and terminology used in the premise is the first step in logical deduction.
2
Examine the specific claim made in the conclusion.
The conclusion asserts that departments conducting these audits will be 'completely immune' to data breaches.
To evaluate a conclusion, one must understand the exact degree of certainty or outcome it proposes.
3
Compare the premise's scope against the conclusion's claim.
The premise speaks of risk reduction ('minimize'), while the conclusion claims absolute prevention ('completely immune'). Therefore, the conclusion overreaches.
A valid logical conclusion cannot claim a stronger, more absolute outcome than what is supported by the premise.

Key Concept

Statement and Conclusions or Inferences
Question 343Question →

Determine whether the following logical deduction is true or false.

Premises:
1. All ratified treaties are binding statutes.
2. Some binding statutes mandate immediate financial compliance.

Deduction:
Based exclusively on these premises, it is a valid logical conclusion that at least some ratified treaties mandate immediate financial compliance.

Show answer & explanation

Answer: False

Answer

False (The deduction is logically invalid).
The statement is False. For a valid categorical syllogism, the middle term (in this case, 'binding statutes') must be distributed in at least one of the premises. Here, it is undistributed in both. Because we are dealing with two potentially distinct subsets of binding statutes, we cannot deduce any definitive relationship between ratified treaties and financial mandates.

Step-by-Step Solution

1
Translate the statements into standard categorical form.
Premise 1: All Treaties (T) are Statutes (S). Premise 2: Some Statutes (S) are Mandates (M). Conclusion: Some Treaties (T) are Mandates (M).
Standardizing the logical structure allows us to apply the formal rules of syllogism.
2
Identify the middle term connecting the two premises.
The middle term is 'binding statutes' (S).
The middle term establishes the logical relationship between the major and minor terms.
3
Check the distribution of the middle term in both premises.
In 'All T are S', the predicate (S) is undistributed. In 'Some S are M', the subject (S) is also undistributed.
For a syllogism to be valid, the middle term must be distributed (referring to all members of its class) in at least one premise.
4
Evaluate the validity of the conclusion based on the distribution.
Since the middle term is undistributed in both premises, no definitive logical link can be made between Treaties and Mandates. The conclusion is invalid.
Violating the rule of distribution results in the Fallacy of the Undistributed Middle.

Key Concept

Distribution of Terms and the Fallacy of the Undistributed Middle
Question 344Question →

Statement: A comprehensive state audit has revealed that a primary water purification chemical, currently utilized by 80% of the state's municipal water treatment plants, contains an undeclared synthetic stabilizing agent. While highly effective at eliminating immediate biological threats, this agent slowly accumulates in local river systems, leading to irreversible aquatic biodiversity collapse if discharged continuously for more than five years. An immediate cessation of this chemical's use would reduce the state's safe potable water supply by half within 48 hours, triggering an unprecedented urban public health emergency. The municipal operators were entirely unaware of the undeclared agent.

Courses of Action:
I. The state environmental protection agency should immediately issue a mandatory injunction to halt the use of the chemical across all plants, seize all existing inventory to prevent further discharge, and prosecute the municipal plant operators for environmental negligence.
II. The government should authorize the temporary continuation of the chemical's use to sustain the potable water supply, while mandating a phased transition to an approved ecological alternative within a twelve-month timeframe and initiating legal action against the chemical's manufacturer for fraudulent nondisclosure.

Which of the following logically follows as a correct course of action?

Show answer & explanation

Answer: Only Course of Action II follows

Answer

Only Course of Action II follows
The correct option identifies that only the second proposed action is valid. It perfectly balances the immediate need for drinking water with a structured, 12-month phase-out plan that safely avoids the 5-year threshold for irreversible environmental damage. It also appropriately directs legal accountability toward the manufacturer who hid the chemical, rather than the innocent municipal operators.

Step-by-Step Solution

1
Analyze the core conflict presented in the statement.
Identified two competing crises: an immediate threat to the potable water supply (50% reduction in 48 hours if stopped) versus a long-term environmental threat (irreversible biodiversity collapse if used continuously for more than 5 years). It is also noted that the municipal operators were unaware of the chemical makeup.
Understanding the timeline of consequences and the culpable parties is essential for evaluating the validity of any proposed administrative action.
2
Evaluate Course of Action I for feasibility, proportionality, and legal targeting.
Course of Action I is invalid. An immediate halt would cause a catastrophic urban public health emergency, which outweighs the slow-accumulating environmental threat. Additionally, prosecuting unaware municipal operators for an 'undeclared' agent is legally and ethically flawed.
Administrative actions must not create a larger immediate disaster than the one they are trying to solve, and punitive measures must target the actually responsible party.
3
Evaluate Course of Action II against the timeline constraints and administrative priorities.
Course of Action II is valid. Temporary continuation averts the immediate 48-hour water crisis. The 12-month transition plan successfully eliminates the threat well before the 5-year threshold for irreversible damage. Finally, taking legal action against the manufacturer correctly targets the party responsible for the fraudulent nondisclosure.
A sound course of action balances competing public interests (health vs. environment) safely within mathematical timeline constraints and applies accountability correctly.

Key Concept

Administrative Decision Making: Proportionality, Timeline Analysis, and Accountability
Estimated Time:2m 0s
Question 345Question →

Statement: To mitigate the rapid depletion of the municipal groundwater aquifer, the City Water Board has announced a tiered pricing structure where residential water tariffs will increase by 300% for monthly consumption exceeding 50,000 liters, while all new industrial extraction permits have been temporarily suspended pending a comprehensive hydrogeological review.

Which of the following assumptions are implicit in the above statement? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Residential consumers possess the ability to alter their water consumption habits in response to substantial financial disincentives.; The proposed hydrogeological review will generate actionable data necessary to establish sustainable limits for future industrial extraction.

Answer

The implicit assumptions are that residential consumers can alter their habits due to financial penalties, and that the hydrogeological review will provide actionable data for future industrial extraction.
An assumption is an unstated premise that must be logically true for an argument or action to be valid. For the residential tariff to function as a mitigation tool, it fundamentally assumes that affected consumers have the elasticity and ability to reduce their water consumption. Similarly, halting industrial permits explicitly 'pending a review' logically requires the premise that this review will be effective in generating actionable data to guide future permit limits.

Step-by-Step Solution

1
Analyze the core objective and the proposed actions in the statement.
Objective: Mitigate groundwater depletion. Actions: 1) Increase high-volume residential tariffs by 300%. 2) Suspend new industrial permits pending a review.
Deconstructing the statement separates the goal from the regulatory mechanisms.
2
Evaluate the residential tariff action for hidden premises.
The tariff acts as a deterrent. For a deterrent to work, the targeted demographic must be capable of changing their behavior. Thus, assuming consumers can alter their habits is logically necessary.
An administrative policy aimed at changing outcomes inherently assumes the target population can respond to its incentives.
3
Evaluate the industrial permit suspension for hidden premises.
The suspension is not permanent; it is explicitly tied to a 'hydrogeological review'. This requires the assumption that the review will actually produce useful data to resolve the administrative freeze.
A conditional administrative action assumes the condition (the review) is capable of being fulfilled and serving its intended purpose.
4
Screen remaining options for inferences, exaggerations, or external knowledge.
The claim that industry is the 'primary' cause is an over-inference not strictly required by the text. The claim about revenue allocation introduces outside policy expectations entirely unsupported by the text.
Assumptions must be absolutely necessary for the statement to hold true, not merely plausible real-world possibilities.

Key Concept

Logical underlying premises in administrative policy execution.
Estimated Time:2m 0s
Question 346Question →

A municipal planning board operates under the following regulatory principles regarding the Federal Sustainability Grant:

I. Any urban redevelopment initiative that secures the grant must have successfully demonstrated a net-zero carbon footprint during its pilot phase.
II. An initiative is entirely ineligible for the grant unless it exclusively relies on renewable energy matrices for its operational design.
III. The 'Sector-7' redevelopment initiative has completed a pilot phase with a verified net-zero carbon footprint and utilizes a 100% renewable energy matrix.

Based strictly on these regulatory principles, it is a valid logical derivation to conclude that the 'Sector-7' initiative has successfully secured the Federal Sustainability Grant.

Show answer & explanation

Answer: False

Answer

False. Meeting the necessary conditions does not logically guarantee the final outcome.
The derivation is logically invalid (False). The regulatory principles outline necessary conditions (net-zero footprint, renewable energy) that an initiative must meet to be considered for the grant. While Sector-7 meets these specific prerequisites, the principles never state that these two factors alone are sufficient to automatically secure the grant.

Step-by-Step Solution

1
Analyze Principle I to determine the logical relationship established.
Securing the grant requires a net-zero carbon footprint (Grant -> Net-Zero).
The phrase 'must have successfully demonstrated' indicates a mandatory prerequisite, not a guarantee.
2
Analyze Principle II to determine its logical constraints.
Securing the grant requires exclusive use of renewable energy (Grant -> Renewable).
The phrase 'ineligible... unless' reinforces that renewable energy is another mandatory prerequisite.
3
Evaluate the facts provided about Sector-7 in Principle III.
Sector-7 satisfies both the 'Net-Zero' and 'Renewable' prerequisites.
To verify if Sector-7 meets the known criteria for the grant.
4
Determine if fulfilling these criteria makes the derivation logically valid.
The derivation is invalid. Fulfilling necessary conditions does not mean the sufficient conditions are met.
Assuming that a subject achieves an outcome simply because it meets some required prerequisites is a formal logical fallacy.

Key Concept

Differentiating between necessary prerequisites and sufficient conditions in formal logic.
Question 347Question →

Statement: "To improve overall employee productivity, the corporation has announced that it will provide free annual gym memberships to all its office staff."

Assumption I: Employee health and physical fitness have a positive impact on workplace productivity.
Assumption II: The corporation's overall profits will double by the end of the current financial year.

Which of the following accurately identifies the implicit assumption(s) in the statement?

Show answer & explanation

Answer: Only assumption I is implicit

Answer

The correct answer is that only assumption I is implicit.
The statement proposes providing gym memberships to achieve the goal of improved productivity. For this plan to be logical, the author must inherently assume that utilizing a gym (improving physical fitness) has a positive effect on an employee's productivity. Therefore, Assumption I is a valid implicit premise. Assumption II, however, makes a speculative leap regarding doubled profits, which is a future projection, not an unstated premise required to make the statement.

Step-by-Step Solution

1
Analyze the main goal and action proposed in the statement.
Goal: Improve employee productivity. Action: Provide free gym memberships.
Identifying the intended cause-and-effect relationship is the first step in finding the unstated premise.
2
Evaluate Assumption I against the logic of the statement.
Assumption I links physical fitness (gained via gym memberships) to workplace productivity. This connection must exist for the author's plan to make sense.
An assumption is a missing logical link that must be true for the argument to hold.
3
Evaluate Assumption II against the logic of the statement.
Assumption II claims profits will double. This is a speculative future outcome, not a foundational belief required to simply offer the memberships for productivity.
Assumptions are unstated foundational premises, not extreme inferences or future predictions.

Key Concept

Identifying implicit premises required to logically bridge an action with its intended goal.
Question 348Question →

The State Cyber Security Cell (SCSC) has laid down the following criteria for the recruitment of Cyber Analysts as of August 14, 2026.

The candidate must:
1. Have a Bachelor's degree in Computer Science or Information Technology (IT) with at least 65% marks.
2. Have a minimum of 3 years of work experience in network security or digital forensics.
3. Be between 25 and 35 years of age.
4. Have secured a 'Grade A' in the SCSC physical fitness test.

In case of a candidate who satisfies all other criteria EXCEPT:
(I) at (1) above, but holds a Master's degree in Cyber Security, the case is to be referred to the Technical Director.
(II) at (2) above, but possesses a valid CISSP or CEH certification, the candidate is to be put on the Waitlist.
(III) at (4) above, but has more than 7 years of relevant work experience, the case is to be referred to the Commissioner of Police.

Based on these criteria, match the following candidates with the correct administrative decision.

Click a left item, then click its matching right item

Items

Rajat (DOB: January 1, 1995) holds a B.Tech in IT with 70% marks. He has 4 years of experience in network security and secured a Grade A in the physical fitness test.
Priya (DOB: March 15, 1992) holds a B.Sc. in Physics with 60% marks and a Master's degree in Cyber Security. She has 5 years of experience in digital forensics and secured a Grade A in the physical fitness test.
Vikram (DOB: December 10, 1998) holds a B.Tech in Computer Science with 80% marks. He has 1.5 years of experience in network security, holds a valid CISSP certification, and secured a Grade A in the physical fitness test.
Ananya (DOB: May 5, 1993) holds a B.Tech in Computer Science with 68% marks. She has 8 years of experience in digital forensics and secured a Grade B in the physical fitness test.
Karan (DOB: October 20, 1996) holds a B.Tech in Mechanical Engineering with 72% marks and has no further higher education. He has 4 years of experience in network security and secured a Grade A in the physical fitness test.

Matches

Show answer & explanation

Answer

Rajat matches 'Selected', Priya matches 'Referred to the Technical Director', Vikram matches 'Put on the Waitlist', Ananya matches 'Referred to the Commissioner of Police', and Karan matches 'Rejected'.
The correct matches are determined by evaluating each candidate's profile strictly against the four primary criteria and the three exception rules as of the reference date (August 14, 2026). Candidates meeting all primary criteria are selected, candidates missing one criterion but meeting its specific exception are assigned the corresponding alternative decision, and candidates failing a primary criterion without meeting its exception are rejected.

Step-by-Step Solution

1
Evaluate Rajat's profile against the primary criteria.
Rajat meets all four primary criteria.
His age (31), degree (B.Tech IT 70%), experience (4 years), and fitness (Grade A) fulfill all conditions perfectly. He is Selected.
2
Evaluate Priya's profile against the primary criteria and exceptions.
Priya fails Criterion 1 but meets Exception (I).
Her degree is in Physics, failing the basic educational requirement, but her Master's in Cyber Security triggers the first exception, referring her to the Technical Director.
3
Evaluate Vikram's profile against the primary criteria and exceptions.
Vikram fails Criterion 2 but meets Exception (II).
He only has 1.5 years of experience (less than 3), but possessing a valid CISSP certification triggers the second exception, putting him on the Waitlist.
4
Evaluate Ananya's profile against the primary criteria and exceptions.
Ananya fails Criterion 4 but meets Exception (III).
She scored Grade B in fitness instead of Grade A, but her extensive 8 years of experience triggers the third exception, referring her to the Commissioner of Police.
5
Evaluate Karan's profile against the primary criteria and exceptions.
Karan fails Criterion 1 and does NOT meet Exception (I).
He has a degree in Mechanical Engineering and no Master's in Cyber Security. Since he fails a primary condition and cannot utilize its corresponding exception, he must be Rejected.

Key Concept

Applying logical rules, multi-condition criteria, and specific exceptions to varying candidate datasets to arrive at definitive administrative decisions.
Question 349Question →

Read the following administrative decision from a university:

"To ensure our graduates are better equipped for real-world challenges, the university senate has decided to make a 3-credit 'Financial Literacy' course mandatory for all undergraduate degree programs starting next academic year."

Which of the following assumptions are logically implicit in the given statement? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Current undergraduate students do not already possess sufficient financial literacy skills to effectively navigate real-world challenges.; The university possesses the necessary teaching resources and academic infrastructure to deliver this course to all undergraduate students.

Answer

The implicit assumptions are that current students lack sufficient financial skills and that the university has the resources to implement the course.
An assumption is an unstated premise that must be true for the statement's logic to hold. For the university to introduce a mandatory course to 'better equip' students, it must logically assume that students currently lack this equipment (financial skills). Furthermore, mandating the course across all undergraduate programs inherently assumes the administrative and academic capacity exists to implement it.

Step-by-Step Solution

1
Analyze the core objective of the statement.
The objective is to equip graduates for real-world challenges by introducing a mandatory financial literacy course.
Identifying the primary goal helps uncover what conditions the author takes for granted to achieve that goal.
2
Evaluate the necessity premise.
For the action to be necessary, the problem must currently exist. Therefore, assuming students lack adequate financial literacy is a required logical premise.
An intervention designed to provide a specific skill logically assumes that the target audience does not already sufficiently possess that skill.
3
Evaluate the feasibility premise.
The senate mandated this course for all undergraduate programs, which fundamentally assumes the university has the faculty and infrastructure to teach it.
A policy cannot be logically mandated universally if the issuer does not assume they have the capacity to carry it out.

Key Concept

Identifying unstated premises (assumptions) that must be true for a proposed action or administrative policy to be logical and executable.
Question 350Question →

Statement:
"The state education board has decided to provide free digital tablets to all high school students to facilitate remote learning during the academic year."

Assumptions:
I. High school students possess the basic capability to operate digital tablets.
II. Providing free digital tablets is the only way to facilitate remote learning.

Which of the above assumptions is/are implicit in the statement?

Show answer & explanation

Answer: Only assumption I is implicit

Answer

Only assumption I is implicit
Assumption I is logically necessary because providing tablets would not facilitate learning if students could not use them. Assumption II is invalid because the original statement does not imply that tablets are the exclusive method for remote learning, making 'the only way' an unwarranted extreme assumption.

Step-by-Step Solution

1
Analyze the main statement to identify the intended action and its underlying goal.
The action is 'providing free digital tablets' and the goal is 'to facilitate remote learning'.
Understanding the cause-and-effect relationship in the statement is necessary to determine what must be inherently true for the statement to make sense.
2
Evaluate Assumption I against the statement's goal.
Assumption I is implicit.
For digital tablets to successfully facilitate learning, it is a logically necessary, unstated premise that the students actually know how to operate them. If this were false, the board's plan would be entirely ineffective.
3
Evaluate Assumption II against the statement's wording.
Assumption II is not implicit.
While the board believes tablets will help facilitate learning, the statement does not claim or assume that this is the absolute 'only way' to achieve the goal. Extreme restrictive words like 'only' usually indicate an invalid assumption unless explicitly supported by the text.

Key Concept

Identifying implicit premises by evaluating logical necessity and avoiding extreme or absolute inferences.
Estimated Time:45s
Question 351Question →

Read the following administrative directive carefully and evaluate the implicit assumptions.

Directive: "To mitigate the increasing risk of catastrophic structural collapses in aging urban infrastructure, the Metropolitan Planning Authority has mandated that all commercial buildings constructed before 2005 must integrate real-time IoT-based structural health monitoring networks by December 2026, failing which their occupancy certificates will be temporarily revoked."

Which of the following assumptions are implicit in the given directive? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: The deployment of real-time IoT-based monitoring networks yields actionable data that can effectively preempt structural collapses before they occur.; The threat of temporarily revoking an occupancy certificate constitutes a sufficient deterrent to compel non-compliant building owners to adhere to the mandate.

Answer

The implicit assumptions are that the IoT monitoring networks can effectively provide data to prevent collapses, and that the threat of revoking occupancy certificates is a strong enough penalty to ensure compliance from building owners.
For an administrative directive to be logically sound, the author must implicitly believe two foundational things: first, that the prescribed solution (IoT networks) will effectively address the stated problem (structural collapses); and second, that the enforcement mechanism chosen (revoking certificates) will successfully compel the target audience to comply.

Step-by-Step Solution

1
Analyze the core objective and the proposed action of the given directive.
The objective is to mitigate structural collapses. The action is mandating IoT-based monitoring networks for pre-2005 buildings under threat of certificate revocation.
Identifying the goal and the enforcement method is essential to determine what the issuing authority must inherently believe for the directive to be practical and logical.
2
Evaluate the first candidate assumption regarding the effectiveness of the proposed technology.
The assumption that IoT networks can preempt collapses is valid and implicit.
If the authority did not believe the technology could provide actionable warning signs, mandating its installation to prevent collapses would be entirely illogical.
3
Evaluate the candidate assumption regarding the enforcement mechanism.
The assumption that revoking certificates acts as a sufficient deterrent is valid and implicit.
Administrative directives rely on penalties to ensure compliance; if the authority believed building owners did not care about occupancy certificates, this specific penalty would not have been selected.
4
Evaluate the remaining candidate assumptions for logical fallacies or extreme inferences.
Assumptions regarding the absolute structural immunity of post-2005 buildings and the historical root causes of past collapses are rejected.
These go beyond the necessary logical foundation of the statement, confusing implicit premises with exaggerated inferences or unstated historical causation.

Key Concept

Identifying Implicit Premises in Administrative Directives
Question 352Question →

Read the given statements and candidate conclusions carefully. Assume the statements are true even if they seem at variance with commonly known facts.

Statements:
1. Some decentralized protocols are encrypted ledgers.
2. All encrypted ledgers are immutable records.
3. All completely unhackable networks are encrypted ledgers.

Conclusions:
I. Some decentralized protocols are immutable records.
II. Some completely unhackable networks are encrypted ledgers.
III. All completely unhackable networks are immutable records.

Based on the rules of formal logic, which of the conclusions logically follow(s) from the given statements?

Show answer & explanation

Answer: Only conclusions I and III follow

Answer

The correct answer is the option stating that only conclusions I and III follow.
Conclusion I is valid because the intersection of decentralized protocols and encrypted ledgers must fall entirely within the set of immutable records. Conclusion III is valid through a transitive chain: since all completely unhackable networks are encrypted ledgers, and all encrypted ledgers are immutable records, it logically follows that all completely unhackable networks are immutable records.

Step-by-Step Solution

1
Analyze Statements 1 and 2 to evaluate Conclusion I.
Since some decentralized protocols are encrypted ledgers, and all encrypted ledgers are immutable records, the intersecting portion must be immutable records.
This confirms Conclusion I ('Some decentralized protocols are immutable records') is logically valid.
2
Analyze Statement 3 to evaluate Conclusion II.
Statement 3 is a universal affirmative ('All C are E'). Conclusion II is a particular affirmative ('Some C are E'). In formal logic, universal statements do not guarantee the physical existence of their subjects.
Deriving a 'Some' conclusion solely from an 'All' premise commits the existential fallacy. Without a premise establishing their existence, Conclusion II is logically invalid.
3
Analyze Statements 2 and 3 to evaluate Conclusion III.
All completely unhackable networks are encrypted ledgers, and all encrypted ledgers are immutable records. Therefore, by the transitive property, all completely unhackable networks are immutable records.
This confirms Conclusion III is logically valid.

Key Concept

Syllogism and Categorical Propositions - Transitive Deductions and Existential Import
Estimated Time:2m 0s
Question 353Question →

Consider the following statement and assumptions.

Statement: The city traffic police have installed signboards near all city schools that read: 'Slow down. School zone ahead.'

Assumptions:
I. Drivers are likely to notice the signboards and reduce the speed of their vehicles.
II. Most schools in the city are located on major highways where vehicles travel at very high speeds.

Based on the statement, which of the following is implicit?

Show answer & explanation

Answer: Only assumption I is implicit

Answer

Only assumption I is implicit
Assumption I is valid because the fundamental purpose of installing a public warning sign is the underlying belief that people will notice it and adjust their behavior accordingly. Assumption II is invalid because the statement applies to 'all city schools' and makes no reference to major highways; assuming all schools are on highways is an unsupported external leap.

Step-by-Step Solution

1
Analyze the main statement and the action being taken.
The traffic police are installing warning signboards in school zones.
To identify the purpose and context of the author's statement.
2
Evaluate Assumption I against the statement.
Assumption I is a valid implicit premise.
An action like installing a public signboard is only taken under the logical assumption that the target audience will read it and comply with the instruction.
3
Evaluate Assumption II against the statement.
Assumption II is an invalid assumption.
The statement applies to 'all city schools' and nothing suggests they are specifically located on major highways. This introduces external context not supported by the statement.

Key Concept

Identifying implicit premises behind administrative actions and public notices.
Estimated Time:45s
Question 354Question →

Consider the provided statements and the conclusions that follow.

Statements:
1. The City Council has mandated that all public libraries in the district must remain open until 8 PM on weekdays to increase accessibility for working professionals.
2. The Central Library is a public library located within this district.

Conclusions:
I. The Central Library will remain open until 8 PM on weekdays.
II. Working professionals in the district will definitely visit the Central Library more often.

Based on the statements, which of the following conclusions logically follows?

Show answer & explanation

Answer: Only conclusion I follows

Answer

Only conclusion I follows logically from the given statements.
The correct response is that only the first conclusion follows. Statement 1 sets a rule for all public libraries in the district. Statement 2 confirms the Central Library is one of those libraries. Therefore, by direct deduction, the Central Library must follow the rule and remain open until 8 PM. Conclusion II is an unwarranted assumption because providing an opportunity (accessibility) does not guarantee an action (definitely visiting more often).

Step-by-Step Solution

1
Analyze the scope of the first statement.
The first statement establishes a universal rule for a specific group: 'all public libraries in the district' must stay open until 8 PM.
Identifying universal conditions is necessary to determine if subsequent specific cases fall under the rule.
2
Evaluate Conclusion I against the statements.
Statement 2 confirms the Central Library belongs to the group 'public libraries in the district'. Therefore, the rule from Statement 1 applies to it. Conclusion I logically follows.
This is a direct application of categorical syllogism (All A are B; X is A; therefore X is B).
3
Evaluate Conclusion II against the statements.
The statements mention the mandate's goal is 'to increase accessibility', but they do not state that professionals will 'definitely visit' more often. Conclusion II introduces an unstated guarantee. It does not follow.
Conclusions must be drawn strictly from the facts provided, without assuming behavioral outcomes or real-world probabilities.

Key Concept

Statement and Conclusions or Inferences
Question 355Question →

An analyst is presented with the following logical constraints: every encrypted ledger operates as a decentralized system, and certain decentralized systems are not immune to quantum attacks.

From these constraints, it is logically valid to deduce that some systems immune to quantum attacks are not encrypted ledgers.

Show answer & explanation

Answer: False

Answer

False
The deduction is invalid. Reaching the proposed conclusion would require ignoring the Fallacy of the Undistributed Middle, as the linking term 'decentralized system' is undistributed in both premises. It also relies on commuting an O-type proposition, which constitutes an illicit conversion.

Step-by-Step Solution

1
Translate the textual constraints into standard categorical propositions.
The premises are: 'All encrypted ledgers are decentralized systems' (A-proposition) and 'Some decentralized systems are not immune to quantum attacks' (O-proposition).
Standardizing the logical statements is necessary to precisely identify the middle term and apply formal syllogistic rules.
2
Analyze the distribution of the middle term linking the two premises.
The middle term is 'decentralized systems'. It is undistributed in the first premise (as the predicate of an affirmative statement) and undistributed in the second premise (as the subject of a particular statement).
For a categorical syllogism to be valid, the middle term must be distributed in at least one premise to guarantee a logical connection.
3
Determine the formal validity of the proposed conclusion.
Because the middle term is never distributed, no valid connection can be established between 'encrypted ledgers' and 'systems immune to quantum attacks'. The deduction is invalid.
An undistributed middle means the premises do not guarantee any definitive relationship between the subject and predicate of the conclusion.

Key Concept

Syllogistic Rules, Term Distribution, and the Undistributed Middle Fallacy
Question 356Question →

Evaluate the following assertions and the subsequent logical deductions to determine which inference validly holds true.

Statements:
1. Every newly recruited inspector is required to complete a six-week physical training module.
2. Rahul is a newly recruited inspector.

Conclusions:
I. Rahul is required to complete a six-week physical training module.
II. Rahul has successfully passed the physical training module.

Which of the following options correctly identifies the valid conclusion(s)?

Show answer & explanation

Answer: Only conclusion I follows

Answer

The option stating that only conclusion I follows is the correct answer.
The correct answer accurately identifies that only the first conclusion is a valid logical deduction. Statement 1 establishes a rule for all newly recruited inspectors, and Statement 2 confirms Rahul is in this category. Applying basic syllogism, the rule must apply to Rahul. The second conclusion is an assumption about an event (passing the module) that is not supported by the given text.

Step-by-Step Solution

1
Analyze the first statement.
The statement establishes a universal rule: If a person is a newly recruited inspector, then that person must complete a six-week physical training module.
To identify the general premise.
2
Analyze the second statement.
The statement identifies a specific fact: Rahul belongs to the group of 'newly recruited inspectors'.
To identify the specific premise.
3
Evaluate Conclusion I based on the statements.
Since Rahul is a newly recruited inspector, the rule from statement 1 directly applies to him. Therefore, Conclusion I logically follows.
To test the validity of the first deduction.
4
Evaluate Conclusion II based on the statements.
The statements only mention that the training is a 'requirement'. They do not provide any information about whether Rahul has started, finished, or passed this training. Therefore, Conclusion II does not follow.
To test the validity of the second deduction by checking for unsupported assumptions.

Key Concept

Statement and Conclusions or Inferences
Question 357Question →

Context: Due to a rapid surge in commercial high-rise developments within the city's designated coastal ecological boundary, civil engineers have documented critical land subsidence and recurring localized flooding resulting from the severe obstruction of natural subsurface drainage channels.

Proposed Remedies:
I. The municipal corporation must immediately issue blanket demolition orders for all newly constructed commercial complexes in the zone to organically restore the historical drainage pathways.
II. The administration should enforce a temporary moratorium on new construction approvals in the affected sector and initiate an urgent hydrological survey to design a compensatory artificial drainage grid.

Which of the following represents the logically sound evaluation of the proposed remedies?

Show answer & explanation

Answer: Only proposed remedy II follows.

Answer

Only proposed remedy II follows.
The correct evaluation validates only the second remedy. A valid course of action must be feasible, practical, and proportional to the problem. Halting new construction temporarily while commissioning a scientific study to build alternative drainage (Remedy II) is a standard and measured administrative response. In contrast, immediately demolishing all recently built complexes (Remedy I) is an extreme, legally fraught, and disproportionately destructive measure.

Step-by-Step Solution

1
Analyze the core problem presented in the context.
The problem is land subsidence and localized flooding caused by commercial high-rise developments blocking natural drainage in a coastal ecological zone.
Understanding the exact nature and cause of the problem is required to evaluate whether a proposed remedy is relevant and proportional.
2
Evaluate Proposed Remedy I for feasibility, proportionality, and side effects.
Remedy I suggests immediate blanket demolition of all new commercial complexes.
This is an extreme, disproportionate administrative action. It ignores statutory protocols, would cause massive economic and legal repercussions, and is not a practical immediate step compared to engineering solutions.
3
Evaluate Proposed Remedy II for feasibility, proportionality, and side effects.
Remedy II suggests a temporary halt on new permits and commissioning a hydrological survey to build an artificial drainage grid.
This action is practical, addresses the root cause systematically without causing disproportionate harm, and provides a scientifically sound path forward.

Key Concept

Evaluating the feasibility and proportionality of administrative responses to infrastructural and ecological crises.
Question 358Question →

Read the following statement carefully.

Statement: The state transport department has issued an advisory requesting all daily commuters to purchase their bus tickets through the official mobile application to avoid long queues at the terminal counters.

Which of the following assumptions are implicit in the given statement? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: A significant number of commuters have access to smartphones and the internet to use the official mobile application.; Purchasing tickets through the mobile application will effectively help in reducing the congestion at the terminal counters.

Answer

The implicit assumptions are that commuters have access to the mobile application, and that using the application will successfully reduce queues at the terminal.
The correct answers identify the two essential premises that must be true for the advisory to make sense: the target audience must be able to use the mobile application, and using it must logically lead to the desired outcome of reduced queues.

Step-by-Step Solution

1
Analyze the statement to identify the proposed action and its intended goal.
Action: Purchase tickets via mobile app. Goal: Avoid long queues at terminal counters.
Understanding the cause-and-effect relationship presented in the statement is the first step in identifying its underlying premises.
2
Evaluate the first candidate assumption regarding commuter access to smartphones.
It is a valid assumption.
An advisory is only issued if the authority assumes the public has the capability and resources to follow it.
3
Evaluate the second candidate assumption regarding the effectiveness of the app in reducing queues.
It is a valid assumption.
The authority must believe that the proposed solution will actually achieve the stated goal of reducing congestion, otherwise the advisory would be pointless.
4
Evaluate the remaining candidate assumptions.
They are invalid.
Closing physical counters is an unsupported inference, and the security of mobile apps is irrelevant to the specific goal of reducing queues.

Key Concept

Identifying Implicit Assumptions in Administrative Advisories
Question 359Question →

During an aviation regulatory audit, a compliance officer maps out the relationships between different vehicle classifications based on current operational guidelines. The officer establishes the following foundational premises:

- All perpetually autonomous drones are unregistered aircraft.
- No unregistered aircraft are commercially insured vehicles.
- Some delivery gliders are commercially insured vehicles.

Based strictly on formal deductive logic—and without assuming the physical existence of any entity not explicitly established by the premises—identify the logically infallible deductions from the officer's mapping.

Deduction I: Some perpetually autonomous drones are unregistered aircraft.
Deduction II: No commercially insured vehicles are perpetually autonomous drones.
Deduction III: Some delivery gliders are not perpetually autonomous drones.

Which of the following represents the correct evaluation?

Show answer & explanation

Answer: Only Deductions II and III are infallible.

Answer

Only Deductions II and III are infallible.
Deduction II is logically derived from combining the first two premises and converting the resulting universal negative statement. Deduction III is validly derived by combining the third premise with the conclusion of the first two premises. Deduction I is invalid because it assumes the physical existence of the subject (existential fallacy) from a purely universal premise.

Step-by-Step Solution

1
Evaluate Deduction I for existential import based on the first premise.
Deduction I is invalid.
The premise 'All perpetually autonomous drones are unregistered aircraft' is a universal statement. Without explicit evidence that such drones actually exist, deducing that 'Some perpetually autonomous drones are unregistered aircraft' commits the existential fallacy.
2
Evaluate Deduction II by combining the first and second premises.
Deduction II is valid.
Since all autonomous drones are unregistered aircraft, and no unregistered aircraft are commercially insured, it follows that no autonomous drones are commercially insured. Converting this universal negative statement yields: 'No commercially insured vehicles are perpetually autonomous drones.'
3
Evaluate Deduction III by combining the result of Step 2 with the third premise.
Deduction III is valid.
We established that no commercially insured vehicles are autonomous drones. Since the third premise states 'Some delivery gliders are commercially insured vehicles', the specific delivery gliders that are commercially insured cannot be autonomous drones. Therefore, 'Some delivery gliders are not perpetually autonomous drones' is valid.

Key Concept

Evaluating categorical syllogisms involving multi-premise deductive chains, illicit conversion checks, and the existential fallacy.
Question 360Question →

Local authorities are debating measures to enhance public safety in urban districts. Consider the following proposed policy and the subsequent arguments:

Policy Proposal: Should the city administration mandate the closure of all retail and commercial establishments by 8:00 PM to curb the rising incidence of nighttime street crime?

Argument I: No, implementing such an early closure will severely disrupt the local economy, lead to massive job losses in the service sector, and fails to address the actual underlying socio-economic causes of criminal behavior.
Argument II: Yes, street crimes happen exclusively because people are visiting markets after dark, so forcing businesses to close early will completely eradicate all illegal activities in the city.

Based on logical reasoning principles, which of the following best evaluates the strength of the given arguments?

Show answer & explanation

Answer: Only Argument I is strong.

Answer

The correct evaluation is that only the first argument is strong, as it provides a realistic and multi-faceted critique of the policy's consequences.
The option stating that only the first argument is strong is correct. Argument I provides a nuanced, realistic assessment of the policy's socio-economic impact while correctly pointing out that the measure does not target the actual root causes of crime. This makes it substantial and logically robust. In contrast, Argument II relies on absolute generalizations ('exclusively', 'completely eradicate') which are practically impossible and logically unsound, rendering it a weak argument.

Step-by-Step Solution

1
Analyze the policy proposal and its primary objective.
The proposal aims to reduce nighttime crime by closing commercial establishments early (by 8:00 PM).
Understanding the premise is required to evaluate whether the arguments directly and logically address the action and its outcomes.
2
Evaluate the logical strength and realism of Argument I.
Argument I identifies highly probable negative outcomes (economic disruption, job losses) and correctly points out that the policy acts as a superficial fix rather than addressing root causes.
A strong argument must relate directly to the statement and provide substantial, non-trivial reasoning.
3
Evaluate the logical strength and realism of Argument II.
Argument II relies on extreme absolute terms ('exclusively', 'completely eradicate', 'all illegal activities'). It makes a logically flawed assumption that all crime stems solely from open markets.
Arguments that rely on sweeping generalizations, absolute certainties without proof, or extreme oversimplifications are classified as weak.
4
Synthesize the evaluations to select the correct conclusion.
Since only the first argument is logically sound and practically realistic, the correct conclusion is that only Argument I is strong.
This aligns with standard logical reasoning frameworks for policy evaluation.

Key Concept

Evaluating the logical validity, realism, and direct relevance of supporting and opposing arguments regarding administrative policies.
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