Examkin

Logical Reasoning and Analytical Ability

493 questions

All types493Multiple choice252Multiple select97True / False59Numeric6Matching51Ordering20Short answer8
Question 461Question →

Morgan and Jordan are the only children of their parents. Their father has exactly one sister, named Claire, and no brothers. If Claire's only niece is Morgan, what is the relationship of Jordan to Morgan?

Show answer & explanation

Answer: brother; Brother; a brother

Answer

brother
Because Claire can only have one niece (Morgan), the other child in the family (Jordan) must be a nephew (male). Therefore, Jordan is Morgan's brother.

Step-by-Step Solution

1
Identify the relationship between Claire and the siblings.
Claire is the sister of Morgan and Jordan's father, making her their paternal aunt.
To establish the generational and relational link between the adult and the children.
2
Determine Morgan's gender based on relational constraints.
Morgan is female.
The term 'niece' strictly designates a female child of one's sibling.
3
Deduce Jordan's gender using the exclusivity condition.
Jordan must be male.
Claire has only one sibling (the children's father), so her only nieces or nephews are his children. Because Claire has exactly one 'only niece' (Morgan), the other child (Jordan) cannot be female.
4
Determine Jordan's relationship to Morgan.
Jordan is Morgan's brother.
Since Jordan is male and shares the same parents as Morgan, he is her brother.

Key Concept

Using exclusionary relationship terms to logically deduce gender without relying on names.
Question 462Question →

Statements:
1. Only infrastructure projects that pass the comprehensive seismic safety audit are granted a municipal construction permit.
2. The proposed Zenith Bridge project was not granted a municipal construction permit.

Conclusion: The proposed Zenith Bridge project did not pass the comprehensive seismic safety audit.

Assertion to evaluate: The given conclusion logically and necessarily follows from the provided statements.

Show answer & explanation

Answer: False

Answer

False
The conclusion is false because it commits the logical fallacy of denying the antecedent. Just because passing the audit is a strict requirement to get a permit does not mean that every project without a permit failed the audit; they could have been rejected for entirely unrelated reasons.

Step-by-Step Solution

1
Analyze Statement 1 to identify the formal logical relationship.
The phrase 'Only [A] are [B]' means that [A] is a necessary condition for [B]. Thus, passing the audit is required for getting a permit, but it does not guarantee one.
Accurately identifying necessary versus sufficient conditions is critical for logical deduction.
2
Evaluate Statement 2 in relation to the established condition.
Statement 2 establishes that the Zenith Bridge project did not receive a permit.
Applying the specific scenario to the general rule.
3
Determine if the Conclusion is an absolute certainty based on the facts.
Knowing the project did not receive a permit does not allow us to conclude it failed the audit. It might have passed the audit but been denied the permit due to funding, zoning, or other separate issues.
Logical validity requires a conclusion to be necessarily true in all possible scenarios, which fails here.

Key Concept

Logical Deduction and Necessary vs. Sufficient Conditions

Alternative Method

Translate the statements into formal symbolic logic: Let P represent 'granted a permit' and A represent 'passed the audit'. Statement 1 (Only A are P) translates to P → A (If granted permit, then passed audit). Statement 2 is ~P (not P). The conclusion asserts ~A. Concluding ~A from P → A and ~P is formally invalid (the fallacy of denying the antecedent).
Estimated Time:1m 0s
Question 463Question →

An executive committee of six professionals—Ramirez, Sato, Tanaka, Umar, Vance, and Wallace—are seated evenly around a circular boardroom table. They hold different roles: Director, Manager, Analyst, Planner, Coordinator, and Supervisor.

The Director, Analyst, and Coordinator are facing the center of the table. The Manager, Planner, and Supervisor are facing outward (away from the center).

The following conditions apply:
1. The Planner is seated adjacent to both the Director and the Supervisor.
2. The Analyst is seated at the immediate right of the Director.
3. Umar is the Planner.
4. Vance is seated exactly opposite the Supervisor.
5. Sato is positioned at the immediate left of the Manager.
6. Ramirez faces the center but is not the Coordinator.
7. Wallace does not sit adjacent to the Analyst.

Which of the following statements is logically correct based on the seating arrangement?

Show answer & explanation

Answer: Tanaka holds the position of Manager and sits exactly opposite Umar.

Answer

The statement identifying Tanaka as the Manager sitting opposite Umar is the only logically correct conclusion.
By logically deducing the seating order, we find that position 5 is occupied by the Manager, who is Tanaka. Position 2 is occupied by the Planner, who is Umar. In a 6-seat circular arrangement, positions 2 and 5 are exactly opposite each other, making this statement entirely true.

Step-by-Step Solution

1
Determine the relative positions of the Director, Analyst, Planner, and Supervisor.
Let the Director be at position 1 (facing in). The Analyst is to the immediate right of the Director, placing the Analyst at position 6. The Planner sits between the Director and Supervisor, placing the Planner at position 2 and the Supervisor at position 3.
Since the Director faces inward, their right side goes counter-clockwise to position 6, forcing the Planner and Supervisor to occupy the clockwise positions.
2
Place the remaining roles based on facing directions and left/right rules.
Positions 4 and 5 must belong to the Coordinator (faces in) and Manager (faces out). Sato is at the immediate left of the Manager. If the Manager is at position 5 (facing out), their left is position 4. Thus, Manager is at 5 and Coordinator (Sato) is at 4.
If the Manager were at position 4, their left (facing out) would be position 3, which is already occupied by the Supervisor.
3
Assign the names to the established role layout.
Umar is the Planner (pos 2). Vance is opposite the Supervisor (pos 3), so Vance is the Analyst (pos 6). Ramirez faces the center (Dir, Ana, or Coo) but is not the Coordinator; since Vance is the Analyst, Ramirez is the Director (pos 1). Wallace cannot be next to the Analyst (pos 6), so Wallace is the Supervisor (pos 3), not the Manager (pos 5). This leaves Tanaka as the Manager (pos 5).
Applying the negative constraints and opposite pairings systematically fills the remaining seats without ambiguity.

Key Concept

Multi-variable Circular Seating with Mixed Facing Directions
Estimated Time:3m 0s
Question 464Question →

Seven journalists—F, G, H, I, J, K, and L—are seated in a single straight row for a press briefing. Some of them are facing North, while others are facing South. The following conditions apply to their seating arrangement:

- I sits at one of the extreme ends of the row and faces South.
- F sits third to the left of I, and both face the same direction.
- Only two people sit between F and L.
- Persons sitting at the extreme ends face opposite directions to each other.
- G sits second to the left of L, and G faces North.
- The immediate neighbors of G face opposite directions to each other (if one faces North, the other faces South).
- J sits to the immediate left of K, but K is not an immediate neighbor of F.
- H faces a direction opposite to that of J.

Based on the above information, who sits exactly between G and L, and which direction are they facing?

Show answer & explanation

Answer: H, facing North

Answer

The person sitting exactly between G and L is H, and they are facing North.
By following the constraints sequentially, a single deterministic line is formed from left to right: I (South), K (South), J (South), F (South), G (North), H (North), L (North). Based on this layout, G is at position 5 and L is at position 7. The person between them is H at position 6. The rule stating G's neighbors face opposite directions forces H to face North because G's other neighbor, F, faces South.

Step-by-Step Solution

1
Determine the positions of I and F.
I is at Position 1 (facing South), and F is at Position 4 (facing South).
I is at an extreme end and faces South. For F to sit third to the left of I (who is facing South), I must be at the leftmost end (Position 1). Positions 2, 3, and 4 are to I's left. Both face the same direction.
2
Locate L and G, and determine their facing directions.
L is at Position 7 (facing North), and G is at Position 5 (facing North).
There are two people between F (Pos 4) and L, placing L at Position 7. The extreme ends face opposite directions, so L faces North. G sits second to the left of L. Since L faces North, left is toward the center, placing G at Position 5. We are given that G faces North.
3
Deduce the facing direction of Position 6.
The person at Position 6 faces North.
G (Pos 5) has two immediate neighbors: Position 4 (F, facing South) and Position 6. Because G's neighbors face opposite directions to each other, the person at Position 6 must face North.
4
Place J, K, and H into the remaining seats (Positions 2, 3, and 6).
K is at Position 2 (facing South), J is at Position 3 (facing South), and H is at Position 6 (facing North).
J and K must sit together, so they occupy Positions 2 and 3. K cannot be next to F (Pos 4), so K is at Position 2 and J is at Position 3. J sits immediate left of K; for Position 3 to be left of Position 2, K must face South. H takes the only remaining seat at Position 6.
5
Verify final directions and answer the question.
H faces North, and J faces South.
H (Pos 6) faces North as established in Step 3. H must face the opposite direction of J, meaning J faces South (which matches our finding in Step 4). Therefore, H sits exactly between G and L and faces North.

Key Concept

Linear Seating Arrangement with Mixed Facing Directions
Estimated Time:2m 0s
Question 465Question →

Read the given statements and determine which of the conclusions can be logically drawn from them.

Statement I: According to the new administrative guidelines, any public grievance petition that remains pending for more than 45 days is automatically escalated to the State Vigilance Commission.
Statement II: A significant number of petitions regarding rural water supply have remained unresolved for the past two months.

Conclusion I: Several petitions related to rural water supply will be escalated to the State Vigilance Commission.
Conclusion II: The department handling rural water supply is the most inefficient department in the state administration.

Which of the following options is correct?

Show answer & explanation

Answer: Only Conclusion I follows

Answer

Only Conclusion I follows.
The correct answer accurately evaluates both conclusions. Conclusion I is a direct logical deduction because a period of two months exceeds the 45-day threshold, triggering the automatic escalation detailed in the first statement. Conclusion II is an extreme, unwarranted generalization because the text offers no comparative data about other departments.

Step-by-Step Solution

1
Analyze Statement I
Establishes a strict rule: if a petition is pending > 45 days, it gets escalated to the State Vigilance Commission.
To identify the necessary condition for an action to occur.
2
Analyze Statement II
Identifies that rural water supply petitions have been pending for two months.
To compare the provided case against the established rule.
3
Evaluate Conclusion I
Conclusion I is logically valid.
Since 'two months' (approx. 60 days) is strictly greater than the 45-day threshold, the petitions satisfy the condition in Statement I and must be escalated.
4
Evaluate Conclusion II
Conclusion II is logically invalid.
The statements only discuss delays in one department. There is no comparative data to deduce that it is the 'most inefficient' department overall.

Key Concept

Statement and Conclusions or Inferences
Question 466Question →

If the statements 'All expressways are toll roads' and 'Some toll roads are privately maintained' are both true, then it necessarily follows that 'Some expressways are privately maintained'.

Show answer & explanation

Answer: False

Answer

The statement is False because the logical deduction is invalid.
The proposed logical deduction is invalid because it fails to distribute the middle term in either premise, making the conclusion uncertain.

Step-by-Step Solution

1
Identify the logical structure and terms of the given premises.
The first premise is 'All E are T' (Universal Affirmative). The second premise is 'Some T are P' (Particular Affirmative). The proposed conclusion is 'Some E are P'.
Standardizing the categorical propositions helps in applying formal syllogistic rules or drawing Venn diagrams.
2
Analyze the distribution of the middle term ('toll roads' or 'T').
In the universal affirmative statement 'All E are T', the predicate 'T' is undistributed. In the particular affirmative statement 'Some T are P', the subject 'T' is also undistributed.
A valid categorical syllogism requires the middle term to be distributed in at least one of the premises.
3
Evaluate the validity of the conclusion based on the distribution.
Because the middle term is undistributed in both premises, no definitive relationship can be established between 'E' (expressways) and 'P' (privately maintained).
Without a distributed middle term, the specific toll roads that are expressways might not intersect at all with the specific toll roads that are privately maintained.

Key Concept

Validity of Syllogisms and the Fallacy of the Undistributed Middle
Question 467Question →

Analyze the statements below regarding financial governance:

Statement 1: All sovereign wealth funds are state-owned investment vehicles.
Statement 2: Some state-owned investment vehicles prioritize domestic infrastructure.
Statement 3: No entity prioritizing domestic infrastructure is exempt from parliamentary oversight.

Based strictly on the information provided, which of the following conclusions can be logically deduced? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Some state-owned investment vehicles are not exempt from parliamentary oversight.; No entity exempt from parliamentary oversight prioritizes domestic infrastructure.

Answer

The logically valid conclusions are that some state-owned investment vehicles are not exempt from parliamentary oversight, and that no entity exempt from parliamentary oversight prioritizes domestic infrastructure.
By strictly mapping the categories: since some state-owned investment vehicles prioritize domestic infrastructure, and none of those prioritizing domestic infrastructure are exempt from oversight, it logically follows that those specific state-owned vehicles are not exempt. Additionally, the premise 'no entity prioritizing domestic infrastructure is exempt' logically converts directly to 'no exempt entity prioritizes domestic infrastructure'.

Step-by-Step Solution

1
Define the categorical groups and their relationships based on the three statements.
Let S = Sovereign wealth funds, V = State-owned investment vehicles, D = Entities prioritizing domestic infrastructure, and E = Entities exempt from oversight. We have: (1) All S are V. (2) Some V are D. (3) No D are E.
Mapping the sets clearly is required to evaluate intersections and logical boundaries.
2
Test the conclusion that some state-owned investment vehicles are not exempt from oversight.
Because some V are D (Statement 2), and absolutely no D are E (Statement 3), the portion of V that is D cannot be E. Thus, some V are definitely not E. This makes the conclusion valid.
This confirms the validity of the first correct inference by strictly combining Statements 2 and 3.
3
Test the conclusion regarding exempt entities and domestic infrastructure.
Statement 3 explicitly dictates that the set of D and the set of E have zero overlap (No D are E). By logical conversion, this guarantees that no E are D.
This proves the validity of the second correct inference through direct logical conversion.
4
Test the remaining conclusions for unwarranted assumptions.
We cannot assume that any S are D because the 'some V' that are D might not include any S. Furthermore, we cannot introduce outside knowledge regarding the general investment priorities of sovereign wealth funds.
Conclusions must be drawn solely from the explicit text provided, without conflating possibilities with certainties.

Key Concept

Statement and Conclusions or Inferences
Question 468Question →

Consider the following statement and the two assumptions that follow it.

Statement:
"To encourage private car commuters to shift to public transit, the City Transit Bureau is launching a fleet of premium Wi-Fi-enabled express buses on major IT corridor routes, with fares set at triple the standard bus ticket price."

Assumptions:
I. A significant portion of private car commuters value travel amenities and comfort enough to pay a premium over standard public transit fares.
II. The introduction of these premium buses will successfully reduce vehicular emissions and alleviate peak-hour traffic jams on the IT corridors.

Which of the given 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 a valid implicit premise. For the Transit Bureau's strategy—charging triple fare for Wi-Fi buses to attract car users—to be logical, they must assume that the target demographic is willing to pay this higher price for added comfort. Assumption II, however, is an expected future outcome or consequence of the policy, not a foundational premise required for the statement to be made. Therefore, only the first assumption is logically implicit.

Step-by-Step Solution

1
Analyze the core action and goal presented in the statement.
The goal is to shift car commuters to public transit. The action is providing premium Wi-Fi buses at triple the normal fare.
Identifying the author's primary objective and method is required to deduce what they must be assuming for the plan to work.
2
Evaluate Assumption I against the statement's logic.
Assumption I is implicit. The Bureau is offering a high-cost, high-comfort option specifically to attract car users.
If the Bureau did not assume car users were willing to pay this premium for comfort, launching this specific service to attract them would be completely illogical.
3
Evaluate Assumption II against the definition of a logical assumption.
Assumption II is not implicit. It describes the expected future result of the policy, not a premise.
An assumption is an unstated premise necessary for the argument to be valid before action is taken, whereas reducing emissions is an inference or consequence that follows the action.

Key Concept

Distinguishing between implicit foundational premises and intended logical consequences or factual outcomes.
Estimated Time:1m 15s
Question 469Question →

Consider the following statements and the subsequent conclusions.

Statement 1: To address severe groundwater depletion, the state administration has reduced electricity subsidies by 40% for farmers cultivating water-intensive crops.
Statement 2: Concurrently, a direct cash incentive program has been launched specifically for farmers who transition to growing drought-resistant crops like millets.

Conclusion I: The reduction in electricity subsidies will completely eliminate the cultivation of water-intensive crops in the region.
Conclusion II: The state administration's policy aims to promote a shift in agricultural patterns toward less water-dependent farming.

Which of the given conclusions logically follows from the statements?

Show answer & explanation

Answer: Only Conclusion II follows

Answer

Only Conclusion II follows
The correct answer is that only Conclusion II follows. Conclusion II directly synthesizes the two statements: applying a penalty to water-heavy crops and a reward for drought-resistant crops logically infers an administrative goal to shift agricultural patterns. Conclusion I is invalid because it jumps to an extreme absolute ('completely eliminate') that cannot be proven by a mere 40% subsidy reduction.

Step-by-Step Solution

1
Analyze the core actions described in the statements.
The government is using a 'stick' (reducing subsidies by 40% for high-water crops) and a 'carrot' (cash incentives for drought-resistant crops).
Understanding the factual premises is required before evaluating any conclusions.
2
Evaluate the logical validity of Conclusion I against the premises.
Conclusion I claims water-intensive crops will be 'completely eliminated'. This is invalid.
A 40% reduction in a subsidy makes cultivation more expensive, but it does not logically dictate that every single farmer will stop growing those crops. Absolute statements require absolute evidence.
3
Evaluate the logical validity of Conclusion II against the premises.
Conclusion II claims the policy aims to promote a shift toward less water-dependent farming. This is valid.
The combination of discouraging water-intensive crops and explicitly rewarding drought-resistant crops (like millets) is the exact definition of promoting an agricultural shift.

Key Concept

Statement and Conclusions or Inferences
Estimated Time:1m 15s
Question 470Question →

The logical structure of a family with six individuals (P, Q, R, S, T, and U) is governed by the rules below:

1. The group includes exactly two married couples.
2. P is the father of R.
3. S is the grandmother of U.
4. T is the sister-in-law of Q.
5. R is the only brother of T.
6. Q has no brothers or sisters.
7. U is the son of Q.

Match the corresponding family members to their exact relationship with U.

Click a left item, then click its matching right item

Items

Individual P
Individual Q
Individual R
Individual T

Matches

Show answer & explanation

Answer

Individual P is the Paternal Grandfather, Individual Q is the Mother, Individual R is the Father, and Individual T is the Paternal Aunt.
Based on the logical deductions: Q has no siblings, so T (her sister-in-law) must be the sister of Q's spouse. R is the only brother of T, which makes R the husband of Q. U is the son of Q (and R), so Q is the mother and R is the father. P is the father of R, making P the paternal grandfather of U. T is R's sister, making her U's paternal aunt.

Step-by-Step Solution

1
Identify the spouse of Q using the sibling constraints.
R is the husband of Q.
Q has no brothers or sisters. Her sister-in-law T must therefore be her husband's sister. R is the only brother of T, meaning R must be Q's husband.
2
Determine the parents of U.
Q is the mother and R is the father of U.
U is explicitly stated as the son of Q. Since Q is married to R, R is the father.
3
Determine the relationship of P to U.
P is the paternal grandfather.
P is the father of R, and R is the father of U.
4
Determine the relationship of T to U.
T is the paternal aunt.
T is the sister of R (who is U's father).

Key Concept

Logical Deduction in Multi-generational Family Trees
Question 471Question →

The Department of Health has released a public health notice: 'Due to recent major repairs on the central distribution pipeline, all residents are instructed to thoroughly boil tap water before consumption for the next 48 hours.'

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

Select all that apply

Show answer & explanation

Answer: The recent repair work on the central pipeline has potentially introduced impurities into the water supply.; Citizens possess the necessary means and facilities to boil water in their households.

Answer

The implicit assumptions are that the recent repair work potentially introduced impurities into the water supply, and that citizens have the necessary means to boil water in their households.
The advisory instructs residents to boil water due to a pipeline repair. For this to be logical, the author must assume the repair introduced a risk of contamination. Furthermore, for the instruction to be practical, it is assumed that residents have the ability to boil their water.

Step-by-Step Solution

1
Analyze the notice to identify the core directive and its stated cause.
The directive is to boil water for 48 hours; the cause is recent major repairs on the pipeline.
Identifying the cause-and-effect relationship is the first step in uncovering the unstated premises.
2
Evaluate the implicit link between the pipeline repairs and the need to boil water.
The author must assume that the repairs created a risk of water contamination, otherwise the directive would be unnecessary.
An assumption is a missing link that makes the statement's logic hold true.
3
Assess the practical feasibility assumed by the directive.
The author assumes that the residents have the capability and resources to actually boil their tap water.
Directives intended for public compliance inherently assume that the public can carry them out.
4
Distinguish the valid assumptions from inferences and external facts among the remaining options.
Guaranteeing safety exactly after 48 hours is a prediction (inference), and claiming boiling is the 'only' method is an external evaluation, neither of which are strictly required premises.
Assumptions must be foundational to the statement, not conclusions drawn from it or external judgments.

Key Concept

Statement and Assumptions
Question 472Question →

Statements:
1. All sustainable urban infrastructure projects receive prioritized federal funding.
2. No prioritized federal funding is allocated without a comprehensive environmental impact audit.

Conclusions:
I. All sustainable urban infrastructure projects require a comprehensive environmental impact audit.
II. Some projects that receive prioritized federal funding operate without a comprehensive environmental impact audit.

It is a logically valid deduction that only Conclusion I follows from the given statements.

Show answer & explanation

Answer: True

Answer

True
The final assertion is true because it correctly identifies that only Conclusion I is logically derived from the premises via the transitive property, while Conclusion II is a direct violation of Statement 2.

Step-by-Step Solution

1
Translate the given statements into formal logical relationships.
Statement 1: Sustainable Project → Prioritized Funding. Statement 2: Prioritized Funding → Environmental Audit.
Establishing clear conditional logic helps prevent assumption-based errors and clarifies the boundaries of the premises.
2
Evaluate the validity of Conclusion I.
Conclusion I states: Sustainable Project → Environmental Audit. This is valid based on the transitive property of the two statements.
Direct syllogistic reasoning confirms that the necessary conditions cascade correctly from the first to the second statement.
3
Evaluate the validity of Conclusion II.
Conclusion II claims that Prioritized Funding can occur without an Environmental Audit. This explicitly contradicts Statement 2. Thus, Conclusion II is invalid.
Identifying direct contradictions ensures invalid conclusions are immediately dismissed.
4
Assess the final overarching claim presented in the stem.
The claim asserts that 'only Conclusion I follows'. Since Conclusion I is valid and Conclusion II is invalid, this claim evaluates to True.
The final truth value depends on the accurate evaluation of both individual conclusions against the overarching statement.

Key Concept

Syllogistic Reasoning and Transitive Logic
Question 473Question →

Read the given statements and determine which of the conclusions can be logically drawn from them.

Statements:
1. Every sovereign debt restructuring program initiated by the Apex Bank mandates the implementation of strict fiscal austerity measures.
2. No nation currently implementing strict fiscal austerity measures has recorded a short-term expansion in social welfare expenditure.

Conclusions:
I. A nation that records a short-term expansion in social welfare expenditure is not undergoing a sovereign debt restructuring program initiated by the Apex Bank.
II. The Apex Bank's restructuring programs are the primary reason why nations adopt strict fiscal austerity measures.

Which of the following options is correct?

Show answer & explanation

Answer: Only conclusion I follows

Answer

Only conclusion I follows.
The correct answer identifies that only the first conclusion is a valid logical deduction. The premises form a logical chain: 'Restructuring' requires 'Austerity', and 'Austerity' ensures 'No Expansion'. Through the contrapositive rule, if a nation has an 'Expansion', it cannot be under 'Austerity', and therefore cannot be undergoing 'Restructuring'. The second conclusion introduces the phrase 'primary reason', which is an unwarranted assumption not supported by the strict text of the statements.

Step-by-Step Solution

1
Analyze the first statement as a conditional relationship.
Restructuring program -> Strict fiscal austerity.
The statement uses 'Every', establishing a direct logical necessity.
2
Analyze the second statement and link it to the first.
Strict fiscal austerity -> No short-term expansion in social welfare expenditure.
The word 'No' establishes that austerity mutually excludes welfare expansion.
3
Evaluate Conclusion I using the combined logic.
Conclusion I is logically valid.
Since Restructuring -> Austerity -> No Expansion, the contrapositive is mathematically true: Expansion -> No Restructuring.
4
Evaluate Conclusion II based solely on the text.
Conclusion II is invalid.
The text states restructuring requires austerity, but never claims it is the 'primary reason' for it. Austerity could be adopted for many other unstated reasons.

Key Concept

Syllogistic logic and contrapositive deduction
Question 474Question →

Five delegates (V, W, X, Y, and Z) are sitting in a single straight row facing North at a global summit. Each represents a different region: Africa, Asia, Europe, Oceania, and South America. Based on the clues provided, match each delegate to their corresponding region.

1. V sits exactly in the middle of the row.
2. The delegate from Oceania sits at the extreme left end of the row.
3. Y sits somewhere to the left of V, but Y does not represent Oceania.
4. X sits immediately to the left of W, who represents Europe.
5. The delegate from Africa sits immediately to the right of the delegate from Asia.
6. The delegate from South America sits immediately to the right of V.

Click a left item, then click its matching right item

Items

Delegate Z
Delegate Y
Delegate V
Delegate X

Matches

Show answer & explanation

Answer

Delegate Z represents Oceania, Delegate Y represents Asia, Delegate V represents Africa, and Delegate X represents South America.
By systematically placing the delegates based on positional clues (V in the middle, Y left of V but not at the end, X immediately left of W), we determine the unique seating order is Z, Y, V, X, W. Matching the region constraints to this exact spatial order yields the correct regions for each delegate.

Step-by-Step Solution

1
Determine the exact seating positions of all delegates from left to right.
Z is at position 1, Y at 2, V at 3, X at 4, and W at 5.
V is in the middle (position 3). Y is to the left of V but not at the extreme left (position 1), so Y must be at position 2. X is immediately left of W, filling the only adjacent remaining seats at positions 4 and 5. Z takes the only remaining seat at position 1.
2
Assign the regions to the established positions.
Z (position 1) is Oceania, Y (position 2) is Asia, V (position 3) is Africa, X (position 4) is South America, and W (position 5) is Europe.
Position 1 is Oceania. W (position 5) is Europe. South America is right of V, so position 4 is South America. Africa is immediately right of Asia, which perfectly fits positions 3 and 2.

Key Concept

Linear Seating Arrangement with Multiple Attributes
Question 475Question →

Six friends—J, K, L, M, N, and O—are seated around a circular table facing the center. Each has a different profession: Chef, Doctor, Engineer, Lawyer, Pilot, and Teacher. The seating arrangement follows these conditions:

- The Doctor sits second to the left of M.
- K is an Engineer and sits immediately to the right of M.
- The Pilot sits exactly between J and the Lawyer.
- N sits exactly opposite the Teacher.
- O sits adjacent to the Doctor.
- The Chef sits immediately to the left of the Teacher.

Based on the given information, which of the following statements is true?

Show answer & explanation

Answer: L is the Lawyer and sits exactly opposite O.

Answer

The statement declaring that L is the Lawyer and sits exactly opposite O is true.
After deducing the full arrangement, O is identified as the Chef sitting at Seat 2, and L is identified as the Lawyer sitting at Seat 5. In an evenly spaced 6-seat circular arrangement, Seat 2 and Seat 5 are exactly opposite each other.

Step-by-Step Solution

1
Establish a reference point by placing M at the top (Seat 1).
M is at Seat 1. Facing the center means left is clockwise and right is counter-clockwise.
Setting a fixed starting point makes relative positioning easier in circular arrangements.
2
Apply the relative positioning clues for M.
The Doctor is second to the left (clockwise), so Seat 3 is the Doctor. K is the Engineer and is immediately to the right (counter-clockwise), so Seat 6 is K (Engineer).
These are direct spatial deductions based on M's position.
3
Determine the Teacher's position using the remaining clues.
The Chef is immediately to the left of the Teacher. If the Teacher were anywhere other than Seat 1, it would conflict with already placed people or leave no valid opposite seat for N. Thus, M is the Teacher (Seat 1), and the Chef is at Seat 2.
Testing all alternative positions for the Teacher systematically eliminates them.
4
Place N and O based on their specific constraints.
N is opposite the Teacher (Seat 1), placing N at Seat 4. O is adjacent to the Doctor (Seat 3). With Seat 4 occupied by N, O must be at Seat 2. Therefore, O is the Chef.
Direct placement logic based on open seats.
5
Place the Pilot, Lawyer, and J using the sequence constraint.
The Pilot sits exactly between J and the Lawyer. The only three available consecutive seats are 3, 4, and 5. Since Seat 3 is the Doctor (J), Seat 4 must be the Pilot (N), and Seat 5 must be the Lawyer.
Consecutive seating constraints can only fit into uninterrupted blocks of available seats.
6
Identify the final person and verify the options.
L is the only remaining person, so L sits at Seat 5 and is the Lawyer. The arrangement is: 1:M(Teacher), 2:O(Chef), 3:J(Doctor), 4:N(Pilot), 5:L(Lawyer), 6:K(Engineer).
Completing the puzzle allows for the evaluation of all statements.

Key Concept

Logical deductions based on left/right orientation in circular seating arrangements.
Question 476Question →

Consider the following statement and the two assumptions that follow it.

Statement:
"The National Meteorological Authority has issued an official advisory urging coastal farmers to delay the sowing of their Kharif crops by two weeks due to a predicted delay in the arrival of the southwest monsoon."

Assumptions:
I. Coastal farmers generally rely on the rainfall from the southwest monsoon for the successful cultivation of their Kharif crops.
II. Delaying the sowing of crops by two weeks will inevitably result in a lower agricultural yield for the upcoming harvest season.

Based on the statement provided, which of the following is correct?

Show answer & explanation

Answer: Only assumption I is implicit

Answer

The correct answer is that only the first assumption is implicit.
The first assumption provides the necessary logical link between the monsoon's delay and the need to delay crop sowing. Without this unstated dependence, the meteorological advisory has no logical basis. The second assumption is a speculation about future outcomes (an inference), not an underlying premise.

Step-by-Step Solution

1
Analyze the main statement to understand the author's primary directive and motivation.
The authority is advising farmers to delay planting specifically because the monsoon is delayed.
Identifying the cause-and-effect relationship in the statement is necessary to find what is taken for granted.
2
Evaluate the first candidate assumption against the statement.
Assumption I is implicit. If farmers did not rely on the monsoon, a delay in its arrival would not necessitate a delay in sowing.
An assumption is a premise that must be true for the argument or directive to logically stand.
3
Evaluate the second candidate assumption against the statement.
Assumption II is not implicit. A potential drop in yield is a speculated future consequence (an inference), not an assumption that prompted the advisory. In fact, the advisory is likely designed to protect the yield.
Assumptions must be distinguished from inferences; an assumption is an unstated foundation, while an inference is a conclusion drawn from the action.

Key Concept

Distinguishing between implicit premises (assumptions) and direct logical consequences (inferences) in administrative directives.
Question 477Question →

Six colleagues—Farah, Gauri, Hasan, Imran, Jamal, and Kiran—are seated in a single straight row facing North for a team meeting.

Read the following information to determine their exact seating positions:
1. Jamal sits third to the right of Farah.
2. Neither Jamal nor Farah sits at the extreme ends of the row.
3. Hasan sits to the immediate left of Gauri.
4. Kiran does not sit at the extreme right end of the row.

Arrange the colleagues in their correct seating order from left (Position 1) to right (Position 6).

Drag items to arrange them in the correct order

Show answer & explanation

Answer

The correct seating order from left to right is: Kiran, Farah, Hasan, Gauri, Jamal, and Imran.
The correct sequence from left to right is Kiran, Farah, Hasan, Gauri, Jamal, and Imran. By deducing the fixed spacing between Farah and Jamal (who must occupy positions 2 and 5 to avoid the ends), the remaining adjacent seats (3 and 4) are strictly restricted to Hasan and Gauri. Kiran is assigned to the left end (Position 1) because the right end is forbidden for her by the constraints, leaving Imran to take the final open seat at the right end (Position 6).

Step-by-Step Solution

1
Determine the seating positions of Farah and Jamal.
Farah sits at Position 2 and Jamal sits at Position 5.
Jamal is third to the right of Farah. Since neither can sit at the extreme ends (Positions 1 and 6), Farah must be at Position 2, which places Jamal at Position 5 (2 + 3 = 5).
2
Determine the seating positions of Hasan and Gauri.
Hasan sits at Position 3 and Gauri sits at Position 4.
Hasan is immediately to the left of Gauri. The only two adjacent empty seats in the row (which currently has Positions 1, 3, 4, and 6 empty) are Positions 3 and 4.
3
Determine the seating positions of Kiran and Imran.
Kiran sits at Position 1 and Imran sits at Position 6.
The remaining empty seats are Positions 1 and 6. Since Kiran cannot sit at the extreme right end (Position 6), Kiran must sit at Position 1. Consequently, Imran takes the last remaining seat at Position 6.

Key Concept

Linear Seating Arrangement with Negative Constraints
Question 478Question →

A genetic researcher is analyzing a three-generation pedigree chart containing six individuals: K, V, W, X, Y, and Z. The clinical notes reveal the following structure:

- Z is the paternal grandfather of Y.
- X is the only son of Z.
- W is the sister of X.
- V is the daughter-in-law of Z.
- K is the son of W.
- Y is the daughter of V.

Match the individuals on the left with their exact relationship to Y on the right.

Click a left item, then click its matching right item

Items

W
K
Z
V

Matches

Show answer & explanation

Answer

W matches with Paternal Aunt, K matches with First Cousin, Z matches with Paternal Grandfather, and V matches with Mother.
By systematically mapping the pedigree chart: Z is the grandfather, and his children are X (son) and W (daughter). X is married to V, and they have a daughter Y. W has a son K. Therefore, relative to Y, W is the paternal aunt, K is the first cousin, Z is the paternal grandfather, and V is the mother.

Step-by-Step Solution

1
Identify Y's father based on the grandfather relationship.
X is the father of Y.
Since Z is Y's paternal grandfather, Y's father must be a son of Z. The notes state that X is the only son of Z, so X must be the father.
2
Determine the relationship between V, X, and Y.
V is the mother of Y.
V is the daughter-in-law of Z, meaning she is married to Z's only son, X. Since Y is the daughter of V, and X is V's husband, V is Y's mother.
3
Determine the relationship of W to Y.
W is Y's paternal aunt.
W is the sister of X, who is Y's father. A father's sister is defined as a paternal aunt.
4
Determine the relationship of K to Y.
K is Y's first cousin.
K is the son of W. Since W is Y's aunt, her son K is Y's first cousin.

Key Concept

Multi-generational Family Tree Analysis
Question 479Question →

A policy statement is given below, followed by two candidate assumptions. An assumption is something supposed or taken for granted. Identify which of the assumptions is/are implicit in the statement.

Statement:
"To alleviate the increasing load on the municipal electricity grid, the State Energy Commission has directed that all future commercial building projects must incorporate rooftop solar power systems."

Assumptions:
I. Rooftop solar systems can produce enough energy to significantly lower a commercial facility's dependence on the municipal grid.
II. The State Energy Commission plans to enforce similar solar power requirements for existing residential homes in the near future.

Which of the following is correct?

Show answer & explanation

Answer: Only assumption I is implicit

Answer

Only assumption I is implicit
The correct answer identifies that only the first assumption is implicit. For the State Energy Commission's directive to be logically sound and effective at alleviating the municipal grid load, the commission must inherently assume that commercial rooftop solar systems are capable of generating enough electricity to make a meaningful difference. If this were not assumed, the policy would lack a logical foundation. The second assumption involves a hypothetical future mandate for residential homes, which is a speculative prediction and completely unnecessary for the current commercial directive to be valid.

Step-by-Step Solution

1
Analyze the main statement to identify the intended goal and the prescribed action.
Action: Mandating solar systems for new commercial buildings. Goal: Alleviate the increasing load on the municipal grid.
Understanding the causal relationship between the policy action and its intended outcome is the first step in identifying unstated premises.
2
Evaluate Assumption I against the statement's logic.
Assumption I is implicit. It provides the logical bridge showing that the action (solar panels) will actually achieve the goal (reducing grid load).
For any administrative mandate to be rational, the policymaker must inherently assume that the mandated action will successfully contribute to the desired outcome.
3
Evaluate Assumption II against the statement's scope.
Assumption II is not implicit. It projects a separate, future policy expansion into the residential sector.
Assumptions must be foundational beliefs required for the current statement to make sense, not speculative inferences or predictions about future actions.

Key Concept

Statement and Assumptions: Distinguishing Implicit Premises from Future Inferences
Question 480Question →

Examine the policy details provided below and evaluate the logical validity of the subsequent inferences.

Policy Directives:
- Every public welfare initiative launched by the incumbent government mandates that recipients synchronize their national identity documents with their bank profiles to prevent fund misappropriation.
- The 'Urban Housing Assistance' framework is a newly launched public welfare initiative under the incumbent government.

Proposed Inferences:
I. Recipients of the 'Urban Housing Assistance' framework must synchronize their national identity documents with their bank profiles.
II. Welfare initiatives launched before the incumbent government experienced severe fund misappropriation.

Based exclusively on the policy directives provided, which inference can be logically deduced?

Show answer & explanation

Answer: Only inference I follows

Answer

Only inference I follows, as it is a direct application of the general rule to a specific case, whereas inference II assumes unstated historical facts.
The correct answer states that only inference I follows. The first policy directive establishes a universal rule: all welfare initiatives from the incumbent government require identity synchronization. The second directive establishes that the 'Urban Housing Assistance' framework falls into this exact category. Therefore, inference I is a valid deductive conclusion (Modus Ponens). Inference II, however, introduces historical context about prior governments that is not stated anywhere in the directives.

Step-by-Step Solution

1
Analyze the first policy directive to establish the general rule.
Rule: If a welfare initiative is launched by the incumbent government, recipients must synchronize their identity documents with bank profiles.
To understand the necessary conditions applied to new welfare initiatives.
2
Analyze the second policy directive to identify the specific case.
Case: 'Urban Housing Assistance' is a welfare initiative launched by the incumbent government.
To determine if the specific case falls under the general rule established in the first directive.
3
Evaluate Inference I against the established rule and case.
Since 'Urban Housing Assistance' fits the condition of the general rule, its recipients must synchronize their documents. Inference I is logically valid.
To test the logical deduction strictly based on provided facts.
4
Evaluate Inference II against the provided directives.
The first directive mentions the goal is 'to prevent fund misappropriation', but it does not explicitly state that prior initiatives suffered from 'severe' misappropriation. Inference II is an assumption, not a deduction.
To distinguish between explicitly stated facts and assumed historical context.

Key Concept

Statement and Conclusions or Inferences
PreviousPage 24 / 25Next
Logical Reasoning and Analytical Ability Practice Questions — State PSC Exam — Page 24 | Examkin