Logical Reasoning and Analytical Ability

493 questions

All types493 Multiple choice252 Multiple select97 True / False59 Numeric6 Matching51 Ordering20 Short answer8

Five state environmental officers—Amrita, Bhuvan, Chetan, Deepti, and Evelyn—are assigned to two environmental monitoring zones: Zone 1 and Zone 2. Exactly three officers are assigned to Zone 1, and two officers are assigned to Zone 2. Each officer specializes in exactly one distinct area: Air Quality, Water Resource, Noise Pollution, Waste Management, or Forest Cover.

The assignment adheres to the following conditions:
1. Amrita and Chetan are assigned to the same zone.
2. The officer specializing in Waste Management is assigned to Zone 2.
3. Bhuvan specializes in Water Resource and is assigned to Zone 1.
4. Deepti is assigned to Zone 2 and specializes in Air Quality.
5. Chetan does not specialize in Noise Pollution.
6. Evelyn is assigned to the same zone as the officer specializing in Waste Management.

Based on the information above, which officer is correctly matched with their assigned specialization in Zone 1?

Amrita - Noise Pollution

Chetan - Noise Pollution

Evelyn - Air Quality

Deepti - Water Resource

Show answer & explanation

Answer: Amrita - Noise Pollution

Answer

Amrita is assigned to Zone 1 with the specialization in Noise Pollution.

By resolving the capacities of Zone 1 (3 officers) and Zone 2 (2 officers), Deepti (Air Quality) and Evelyn (Waste Management) fill Zone 2. This leaves Bhuvan (Water Resource), Amrita, and Chetan in Zone 1. Because Chetan cannot take Noise Pollution, Chetan is assigned Forest Cover, which uniquely assigns Noise Pollution to Amrita.

Step-by-Step Solution

Determine officers assigned to Zone 2 and their specializations

Zone 2 consists of Deepti (Air Quality) and Evelyn (Waste Management).

Deepti is in Zone 2 with Air Quality (Condition 4). Waste Management must be in Zone 2 (Condition 2), and Evelyn is in the same zone as Waste Management (Condition 6). Since Zone 2 holds only two officers, Evelyn must be the second officer in Zone 2 and specialize in Waste Management.

Determine officers assigned to Zone 1

Zone 1 consists of Bhuvan, Amrita, and Chetan.

Zone 2 is completely filled by Deepti and Evelyn. The remaining three officers—Bhuvan, Amrita, and Chetan—must be in Zone 1 to fulfill the capacity of three officers.

Assign specializations to Zone 1 officers

Bhuvan has Water Resource, Chetan has Forest Cover, and Amrita has Noise Pollution.

Bhuvan specializes in Water Resource (Condition 3). The remaining two specializations for Zone 1 are Noise Pollution and Forest Cover. Since Chetan does not specialize in Noise Pollution (Condition 5), Chetan must specialize in Forest Cover, leaving Noise Pollution for Amrita.

Key Concept

Multi-attribute analytical grouping and constraint satisfaction

Question 322Question →

Based on the family relationships described below, match each person listed in Column I with their correct relation to Rohan in Column II:

• Priya is the mother of Rohan.
• Vikram is the brother of Priya.
• Ananya is the daughter of Vikram.
• Rajesh is the father of Priya.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Vikram matches with Maternal Uncle; Ananya matches with Maternal Cousin; Rajesh matches with Maternal Grandfather.

Vikram is Rohan's mother's brother (Maternal Uncle), Ananya is the daughter of Rohan's mother's brother (Maternal Cousin), and Rajesh is Rohan's mother's father (Maternal Grandfather).

Step-by-Step Solution

Determine Vikram's relation to Rohan

Priya is Rohan's mother, and Vikram is Priya's brother. The brother of one's mother is a maternal uncle.

Identify direct sibling relationship to the mother.

Determine Ananya's relation to Rohan

Ananya is the daughter of Vikram, who is Rohan's maternal uncle. The child of one's maternal uncle is a maternal cousin.

Identify child of maternal uncle.

Determine Rajesh's relation to Rohan

Rajesh is the father of Priya, who is Rohan's mother. The father of one's mother is a maternal grandfather.

Identify parent of mother.

Key Concept

Identifying direct multi-generational maternal family relationships.

Question 323Question →

Based on the defined relational operations where $P \star Q$ represents ' $P$ is the sister of $Q$ ' and $P \sharp Q$ represents ' $P$ is the father of $Q$ ', analyze the expression $A \sharp B \star C$ . Based strictly on this expression, how is $C$ related to $A$ ?

Son

Daughter

Brother

Cannot be uniquely determined due to unspecified gender

Show answer & explanation

Answer: Cannot be uniquely determined due to unspecified gender

Answer

The relationship cannot be uniquely determined because the gender of

C

is not specified in the given expression.

The expression reveals that

A

is the father of

B

and

B

is the sister of

C

. This makes

C

a child of

A

. However, because there is no statement defining

C

's gender, it is impossible to specify whether

C

is a son or a daughter. Hence, the relationship cannot be uniquely determined.

Step-by-Step Solution

Decode the first segment of the expression (

A \sharp B

A

is the father of

B

. This establishes that

A

is male and belongs to the upper generation.

The symbol

\sharp

defines a parent-child relationship where the first person is the father.

Decode the second segment of the expression (

B \star C

B

is the sister of

C

. This establishes that

B

is female and

B

and

C

are siblings.

The symbol

\star

defines a sibling relationship.

Combine the relationships to find how

C

is related to

A

Since

A

is the father of

B

, and

B

is the sibling of

C

A

is also the father of

C

. Therefore,

C

A

's child.

Children of the same set of parents share the same father.

Evaluate the gender of

C

No operational symbol follows

C

to indicate whether

C

is male or female. Thus,

C

could be either a son or a daughter.

In blood relation logic, gender cannot be assumed without explicit relational indicators.

Key Concept

Gender Determination in Coded Blood Relations

Question 324Question →

Consider the following eligibility criteria for selecting a Municipal Project Officer in a State Urban Development Authority as of January 1, 2026:

1. The candidate must be between 21 and 30 years of age.
2. The candidate must hold a Bachelor's Degree in Civil Engineering.
3. The candidate must have at least 2 years of relevant work experience.

Exception Clause:
- If a candidate satisfies all other conditions but is over 30 years of age, the upper age limit is relaxed up to 35 years if the candidate holds a Master's Degree in Civil Engineering.

Match each applicant listed on the left with their correct administrative decision outcome on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Applicant 1 matches with 'Selected directly under standard eligibility criteria', Applicant 2 matches with 'Selected under the Master's degree age relaxation clause', and Applicant 3 matches with 'Rejected due to insufficient work experience'.

Each candidate's profile is systematically evaluated against the primary criteria and explicit exception clauses: Applicant 1 meets all base rules; Applicant 2 benefits from the Master's degree age relaxation clause; Applicant 3 lacks the mandatory 2 years of work experience.

Step-by-Step Solution

Evaluate Applicant 1 against standard criteria.

Age 28 is within 21–30 years, holds required Bachelor's degree, and 3 years experience meets the 2-year minimum.

All standard criteria are satisfied.

Evaluate Applicant 2 against standard criteria and exception clauses.

Age 32 exceeds standard limit of 30, but holding a Master's degree relaxes the age limit up to 35 years. Experience (3 years) is sufficient.

Exception clause for age relaxation applies.

Evaluate Applicant 3 against criteria.

Age (26) and degree are valid, but experience (1 year) is less than the required 2 years.

Fails primary experience criterion without any overriding clause.

Key Concept

Analytical Decision Making and Criteria Selection

Question 325Question →

Read the following family relationship details carefully:
In a family of eight members— $H, I, J, K, L, M, N,$ and $O$ —spanning three generations:
• $K$ is the husband of $N$ .
• $N$ has only two children, both of whom are daughters.
• $L$ is one of the daughters of $N$ , and $L$ is married to $J$ , who has no siblings.
• $H$ is the brother-in-law of $J$ .
• $M$ is the daughter of $I$ and the sister of $O$ .
• $N$ is the maternal grandmother of $O$ .

Based on the given information, how is $I$ related to $O$ ?

Show answer & explanation

Answer: Mother; mother

Answer

Mother

From the clues,

N

has only two children and both are female (

L

and

I

L

is married to

J

H

is the brother-in-law of

J

, meaning

H

is married to

L

's sister,

I

. Since

M

is the daughter of

I

and sister to

O

I

is the female parent (mother) of

O

. This is further verified by

N

being the maternal grandmother of

O

Step-by-Step Solution

Determine the first generation and children of

N

K

(male) and

N

(female) form the top generation.

N

has exactly two children, both daughters.

K

is the husband of

N

, and

N

has only two daughters.

Identify the two daughters and their spouses in the second generation.

L

is one daughter married to

J

. Since

J

has no siblings,

J

's brother-in-law

H

must be married to

L

's sister. Therefore, the second daughter of

N

I

, and

I

is married to

H

N

has only two daughters (

L

and

I

H

is married to

I

, making

H

the co-brother-in-law of

J

Determine the relationship between

I

and

O

M

and

O

are siblings in the third generation. Since

M

is the daughter of

I

I

is the female parent of both

M

and

O

I

is a daughter of

N

, making

N

the maternal grandmother of

O

, which confirms

I

is the mother of

O

Key Concept

Deducing generational roles and familial positions in complex multi-generational family structures

Estimated Time:2m 0s

Question 326Question →

Four automated field inspection drones execute specific multi-leg navigation routes starting from a central dock at coordinate $(0,0)$ . Match each drone route on the left with its correct final displacement from the starting point on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Route 1 matches with 2 m East; Route 2 matches with 7 m East; Route 3 matches with 3 m West; Route 4 matches with 6 m East.

Each route is correctly evaluated by converting consecutive linear displacements and angular turns into 2D Cartesian vectors

(x, y)

. Resolving the diagonal legs (sub-cardinal movements of distance

d\sqrt{2}

) yields horizontal and vertical components of

d

, matching each route to its exact final position relative to the origin.

Step-by-Step Solution

Analyze Route 1 using Cartesian coordinates

Leg 1:

(0,0) \rightarrow (8,0)

. Leg 2:

90^\circ

left turn faces North

\rightarrow (8,6)

. Leg 3:

135^\circ

left turn from North faces South-West. Displacement vector:

(-6, -6)

. Final point:

(8-6, 6-6) = (2,0)

, which is

2\text{ m}

East.

Decompose angular movement into horizontal and vertical vector components.

Analyze Route 2 using Cartesian coordinates

Leg 1:

(0,0) \rightarrow (-5,0)

. Leg 2:

90^\circ

right turn faces North

\rightarrow (-5,12)

. Leg 3:

135^\circ

right turn from North faces South-East. Displacement vector:

(+12, -12)

. Final point:

(-5+12, 12-12) = (7,0)

, which is

7\text{ m}

East.

Calculate position vector after three displacement legs.

Analyze Route 3 using Cartesian coordinates

Leg 1:

(0,0) \rightarrow (0,-4)

. Leg 2:

90^\circ

right turn faces West

\rightarrow (-7,-4)

. Leg 3:

135^\circ

right turn from West faces North-East. Displacement vector:

(+4, +4)

. Final point:

(-7+4, -4+4) = (-3,0)

, which is

3\text{ m}

West.

Calculate net displacement along x-axis from origin.

Analyze Route 4 using Cartesian coordinates

Leg 1:

(0,0) \rightarrow (0,10)

. Leg 2:

90^\circ

left turn faces West

\rightarrow (-4,10)

. Leg 3:

135^\circ

left turn from West faces South-East. Displacement vector:

(+10, -10)

. Final point:

(-4+10, 10-10) = (6,0)

, which is

6\text{ m}

East.

Determine final coordinate offset relative to starting dock.

Key Concept

Vector addition and angular turn resolution in Direction and Distance problems.

Question 327Question →

Pointing to a photograph of a girl, a man says, "Her mother is the only daughter of my mother-in-law." How is the man related to the girl in the photograph?

Show answer & explanation

Answer: Father; father

Answer

Father

The only daughter of the man's mother-in-law is his wife. Because the girl's mother is the man's wife, the man is her father.

Step-by-Step Solution

Identify the relation 'only daughter of my mother-in-law'.

The only daughter of a man's mother-in-law is the man's wife.

A person's mother-in-law is their spouse's mother; hence her only daughter must be his wife.

Link the girl in the photograph to the man's wife.

The girl's mother is the man's wife.

The statement states that the girl's mother is the only daughter of the mother-in-law.

Deduce the relationship between the man and the girl.

The man is the girl's father.

Since the girl is the daughter of the man's wife, the man is her father.

Key Concept

Blood Relations - Pointing Narrative

Estimated Time:45s

Question 328Question →

Based on the following coded family relationship definitions:
- $P + Q$ means ' $P$ is the father of $Q$ '
- $P \times Q$ means ' $P$ is the mother of $Q$ '
- $P - Q$ means ' $P$ is the sister of $Q$ '
- $P \div Q$ means ' $P$ is the brother of $Q$ '

Consider the expression: $D + A - E \times F \div C - B$ , where $B$ is a male.

Match each individual on the left with their precise relationship to $B$ on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The correct pairings are: D is the Maternal Grandfather of B, E is the Mother of B, A is the Maternal Aunt of B, and F is the Brother of B.

By systematically breaking down the expression

D + A - E \times F \div C - B

E

is the mother of

B

F

B

's brother,

A

E

's sister (maternal aunt to

B

), and

D

is the father of

E

(maternal grandfather to

B

Step-by-Step Solution

Decode the core sibling chain involving B

E \times F \div C - B

expands to:

E

is mother of

F

;

F

is brother of

C

;

C

is sister of

B

. This establishes that

E

is the mother of all three siblings (

F, C, B

), making

E

the Mother of

B

and

F

the Brother of

B

Establishing the direct parentage and sibling generation is essential before determining extended relationships.

Analyze the maternal line extended to A

A - E

indicates

A

is the sister of

E

. Since

E

is the mother of

B

A

is the sister of

B

's mother, making

A

the Maternal Aunt of

B

A mother's sister is by definition a maternal aunt.

Determine the relation of D to B

D + A

means

D

is the father of

A

. Because

A

and

E

are sisters,

D

is also the father of

E

. Since

E

B

's mother,

D

is the father of

B

's mother, making

D

the Maternal Grandfather of

B

A mother's father is specifically the maternal grandfather.

Key Concept

Coded blood relation decoding and multi-generational tree tracking

Question 329Question →

The following criteria must be satisfied for approving a financial grant under the State Sustainable Agriculture Scheme as of June 1, 2026:

1. The farming cooperative must be officially registered for at least 5 years.
2. The cooperative must have a minimum of 100 active organic farmers as registered members.
3. The annual financial turnover for FY 2025–26 must be at least ₹50 Lakhs.
4. The cooperative must possess an official State Organic Soil Health Certification.

However, the following exceptions apply:
- If a cooperative does not satisfy criterion 1, but is led by a women's self-help group with at least 3 years of registered operation, the case is to be referred to the State Women Development Board.
- If a cooperative does not satisfy criterion 3, but has established a solar-powered micro-irrigation facility covering over 50 acres, the turnover requirement is waived and the grant can be approved directly by the Agricultural Sanctioning Committee.
- If a cooperative does not satisfy criterion 4, but has submitted soil test reports from an ICAR-accredited laboratory certified within the last 6 months, the case is to be referred to the Chief Agricultural Officer for relaxation.

Case Information:
Green Valley Organic Producers Cooperative was registered in August 2020. As of June 1, 2026, it has 120 active organic farming members. Its audited turnover for FY 2025–26 was ₹38 Lakhs. It has installed a solar-powered micro-irrigation system covering 65 acres. Although it lacks the State Organic Soil Health Certification, it submitted ICAR-accredited laboratory soil reports certified in January 2026.

Which of the following is the correct administrative decision regarding the grant application of Green Valley Organic Producers Cooperative?

The case should be referred to the Chief Agricultural Officer for relaxation.

The grant should be approved directly by the Agricultural Sanctioning Committee.

The grant application should be rejected immediately due to non-fulfillment of annual turnover and certification criteria.

The case should be referred to the State Women Development Board.

Show answer & explanation

Answer: The case should be referred to the Chief Agricultural Officer for relaxation.

Answer

The case should be referred to the Chief Agricultural Officer for relaxation.

The cooperative satisfies Criterion 1 (registered for over 5 years) and Criterion 2 (120 members). While it fails Criterion 3 (turnover of ₹38 Lakhs vs ₹50 Lakhs required), its 65-acre solar-powered micro-irrigation system meets the exception clause to waive the turnover deficit. For Criterion 4, although it lacks the State certification, its ICAR laboratory report certified in January 2026 is within 5 months (less than the 6-month threshold), triggering the clause to refer the application to the Chief Agricultural Officer for relaxation.

Step-by-Step Solution

Evaluate Primary Criteria 1 and 2

Criterion 1 (registered August 2020 to June 2026 = 5 years 10 months ≥ 5 years) is SATISFIED. Criterion 2 (120 members ≥ 100 members) is SATISFIED.

The cooperative meets both core organizational requirements directly.

Evaluate Criterion 3 and its Exception Clause

Turnover is ₹38 Lakhs (< ₹50 Lakhs), failing primary Criterion 3. However, it has solar micro-irrigation on 65 acres (> 50 acres), so the turnover condition is waived.

The exception clause for turnover is completely satisfied, avoiding disqualification on financial grounds.

Evaluate Criterion 4 and its Exception Clause

Lacks State Certification, failing primary Criterion 4. However, ICAR soil reports from January 2026 are within the 6-month limit (5 months old as of June 1, 2026).

The exception condition for soil certification is met, dictating a specific administrative referral rather than direct approval or outright rejection.

Determine Final Administrative Status

Since Criterion 3 is waived and Criterion 4 qualifies for referral, the application must be sent to the Chief Agricultural Officer.

Following statutory protocol requires executing the specified referral procedure.

Key Concept

Analytical Decision Making and Criteria Selection

Estimated Time:2m 0s

Question 330Question →

Five administrative officers—Anand, Divya, Farhan, Gita, and Hari—are assigned to three regional sectors (North, South, and East) such that every sector has at least one officer and no sector has more than two officers. Each officer holds exactly one designated role: either Field Auditor or Operations Lead. The assignments follow these conditions:

1. Anand is a Field Auditor, while Divya and Hari are Operations Leads.
2. Divya is assigned to the North sector.
3. Gita is assigned to the East sector as a Field Auditor.
4. Anand and Farhan are assigned to the same sector, but hold different roles.
5. Hari is not assigned to the East sector.

Based on the information above, which officer is an Operations Lead assigned to the South sector?

Farhan

Anand

Hari

Divya

Show answer & explanation

Answer: Farhan

Answer

Farhan is an Operations Lead assigned to the South sector.

Farhan is the correct answer because Anand and Farhan have different roles (Anand is a Field Auditor, so Farhan is an Operations Lead) and they must be assigned together to the South sector to comply with the constraint that no sector exceeds two officers.

Step-by-Step Solution

Determine the role of Farhan.

Farhan is an Operations Lead.

Anand is a Field Auditor, and Anand and Farhan hold different roles. Thus, Farhan must be an Operations Lead.

Determine the sector assignment for Anand and Farhan.

Anand and Farhan are assigned to the South sector.

Anand and Farhan must be in the same sector. Since North already contains Divya and East already contains Gita, putting Anand and Farhan in either North or East would result in 3 officers in that sector (exceeding the maximum allowed of 2). Therefore, Anand and Farhan must both be in the South sector.

Determine the sector assignment for Hari.

Hari is assigned to the North sector.

Hari cannot be in the East sector (given) and the South sector is already full with Anand and Farhan. Thus, Hari must be assigned to the North sector.

Verify the full allocation and identify the target officer.

South sector consists of Anand (Field Auditor) and Farhan (Operations Lead).

Farhan meets both criteria: holding the role of Operations Lead and being assigned to the South sector.

Key Concept

Analytical Puzzles and Grouping

Estimated Time:1m 30s

Question 331Question →

Read the following two statements carefully and determine the logical relationship between them:

Statement I: The municipal administration introduced an automated online single-window portal for processing all commercial construction permits.
Statement II: The average turnaround time for issuing commercial building approvals in the city decreased from 90 days to 14 days over a six-month period.

Which of the following statements correctly describes the relationship between Statement I and Statement II?

Statement I is the cause and Statement II is its effect.

Statement II is the cause and Statement I is its effect.

Both Statement I and Statement II are independent causes.

Both Statement I and Statement II are effects of independent causes.

Both Statement I and Statement II are effects of a common cause.

Show answer & explanation

Answer: Statement I is the cause and Statement II is its effect.

Answer

Statement I is the cause and Statement II is its effect.

The launch of an automated single-window portal removes paper-based bottlenecks and procedural delays. Therefore, the implementation of this system (Statement I) is the direct cause that led to the significant reduction in processing time (Statement II).

Step-by-Step Solution

Analyze Statement I

Identifies an administrative reform: the launch of an automated online portal for building permits.

Establishing the nature of the policy or action introduced.

Analyze Statement II

Identifies a quantitative operational outcome: a sharp decrease in permit issuance processing times.

Evaluating the observed change in municipal efficiency.

Evaluate the causal link

Digitizing and automating the application workflow (Statement I) directly eliminates manual delays, producing the reduction in turnaround time (Statement II).

Determining whether one event logically and temporally leads to the other.

Key Concept

Direct Cause and Effect Relationship

Estimated Time:1m 0s

Question 332Question →

Read the following information carefully and answer the question that follows:

In a family of seven members— $U, V, W, X, Y, Z,$ and $T$ —spanning three generations:
• $Z$ is the father of $W$ and has only two children.
• $W$ is the brother of $V$ .
• $U$ is the mother-in-law of $Y$ , who is married to $V$ .
• $T$ is the child of $Y$ .
• $X$ is the sibling of $T$ .

Based on the given information, how is $T$ related to $W$ ?

Nephew

Niece

Cannot be determined

Cousin

Show answer & explanation

Answer: Cannot be determined

Answer

The relationship cannot be determined because the gender of

T

is not specified.

The correct answer is 'Cannot be determined'.

W

is the brother of

V

, who is married to

Y

T

is the child of

Y

(and

V

). Since

W

is the sibling of

T

's parent,

T

W

's sibling's child (nephew or niece). However, because no statement specifies the gender of

T

, it is impossible to uniquely determine whether

T

is a nephew or a niece.

Step-by-Step Solution

Analyze the generation structure and parentage of

W

and

V

Z

is the father of

W

and

V

. Thus,

W

and

V

are siblings belonging to the second generation.

Establishing the parents identifies the sibling group in generation two.

Determine the relation between

V, Y,

and

T

Y

is married to

V

, and

T

is the child of

Y

. Therefore,

V

and

Y

are the parents of

T

Since

T

is the child of

Y

T

is also the child of

Y

's spouse

V

Relate

T

W

W

is the brother of

V

(who is

T

's parent). This makes

W

the uncle of

T

, and

T

the child of

W

's sibling.

A child of one's sibling is either a nephew or a niece.

Evaluate the gender of

T

The clues state '

T

is the child of

Y

', but do not specify whether

T

is male or female.

Without knowing

T

's gender, we cannot distinguish between nephew (male) and niece (female).

Key Concept

Gender ambiguity trap in multi-generational blood relation puzzles

Question 333Question →

Analyze the policy statement and the two arguments given below:

Statement: Should the state government mandate a four-day workweek with extended daily working hours for all administrative departments?

Argument I: Yes, because a compressed workweek reduces operational expenditure on government facilities and improves employee work-life balance without reducing overall working hours.
Argument II: No, because closing public administration offices for three consecutive days each week will disrupt citizen access to essential government services.

Which of the following choices correctly evaluates the strength of the given arguments?

Only argument I is strong

Only argument II is strong

Neither argument I nor argument II is strong

Both argument I and argument II are strong

Show answer & explanation

Answer: Both argument I and argument II are strong

Answer

Both argument I and argument II are strong.

The correct response recognizes that both arguments are strong. Argument I establishes a clear, logical benefit regarding operational energy/facility savings and employee well-being without cutting total working hours. Argument II raises a valid public administration concern regarding service disruption and public inconvenience due to three consecutive closed days. Since both arguments are directly relevant, realistic, and logically sound, both are strong.

Step-by-Step Solution

Analyze Argument I for relevance, logical link, and realistic justification.

Argument I directly connects the compressed workweek to reduced facility costs and improved employee work-life balance while maintaining required working hours. It is logically sound, non-trivial, and directly relevant to the statement.

A strong argument must provide a logical, realistic, and meaningful reason directly connected to the proposed policy change.

Analyze Argument II for relevance, logical link, and operational impact.

Argument II addresses the real-world administrative drawback of a three-day shutdown on citizen access to public services. This is a substantial and valid concern in public administration.

An argument is strong if it highlights a significant, realistic negative consequence that policy decision-makers must weigh.

Compare both evaluations to select the correct choice.

Since both arguments provide valid, non-extreme, and logically sound perspectives on the proposed policy, both Argument I and Argument II are strong.

Policy decisions often involve competing valid concerns where arguments on both sides hold merit.

Key Concept

Evaluation of Strong and Weak Arguments in Public Policy

Question 334Question →

Statement: A technical glitch in a municipal corporation's online property tax portal resulted in erroneous double deductions from thousands of citizens' bank accounts, causing public grievance and protests outside the administrative office.

Courses of Action:
I. The municipal corporation should set up a dedicated helpdesk and initiate an automated refund process for the excess deducted amounts within a specified timeframe.
II. The municipal corporation should permanently shut down all digital tax collection portals and mandate that all future payments be made in cash at physical counters.

Which of the courses of action logically follow(s) from the statement?

Only I follows

Only II follows

Either I or II follows

Neither I nor II follows

Both I and II follow

Show answer & explanation

Answer: Only I follows

Answer

Only course of action I follows.

The first course of action directly addresses the financial grievance caused by the technical error through a structured and time-bound refund procedure. Conversely, the second course of action is an extreme measure that destroys digital public services due to a fixable technical issue. Therefore, only the first course of action follows logically.

Step-by-Step Solution

Analyze the problem in the statement

Identified a software-driven double deduction error affecting citizens paying property tax online.

Understanding the precise nature and scope of the issue is necessary to evaluate administrative responses.

Evaluate Course of Action I

Valid course of action.

Creating a dedicated helpdesk and facilitating automated refunds directly resolves the excess charge grievance in a practical, reasonable manner.

Evaluate Course of Action II

Invalid course of action.

Permanently banning digital transactions introduces long-term operational inefficiency and represents an extreme administrative measure rather than a logical bug fix.

Key Concept

Evaluation of Courses of Action in Administrative Problem-Solving

Question 335Question →

Read the given statements and candidate conclusions carefully.

Statements:
1. All organic chemists are laboratory researchers.
2. No laboratory researchers are commercial sales representatives.

Conclusions:
I. No organic chemists are commercial sales representatives.
II. Some commercial sales representatives are organic chemists.

Which of the following options is correct?

Only conclusion I follows

Only conclusion II follows

Both conclusion I and conclusion II follow

Neither conclusion I nor conclusion II follows

Show answer & explanation

Answer: Only conclusion I follows

Answer

Only conclusion I follows

The correct answer states that only conclusion I follows. Combining 'All Organic Chemists are Laboratory Researchers' with 'No Laboratory Researchers are Commercial Sales Representatives' logically guarantees that no member of Organic Chemists can be a Commercial Sales Representative (standard Celarent syllogism mood).

Step-by-Step Solution

Represent the premises using categorical set notation

Statement 1 implies Organic Chemists ⊆ Laboratory Researchers. Statement 2 implies Laboratory Researchers ∩ Commercial Sales Representatives = ∅.

Establishing set relations allows determination of set inclusion and exclusion.

Evaluate Conclusion I (No organic chemists are commercial sales representatives)

Since Organic Chemists are entirely inside Laboratory Researchers, and Laboratory Researchers have zero overlap with Commercial Sales Representatives, Organic Chemists also have zero overlap with Commercial Sales Representatives. Thus, Conclusion I logically follows.

Subsets of mutually disjoint sets are also disjoint from those sets.

Evaluate Conclusion II (Some commercial sales representatives are organic chemists)

Since the intersection between Organic Chemists and Commercial Sales Representatives is empty, Conclusion II is false and does not follow.

An affirmative particular conclusion cannot be derived when the two sets are completely disjoint.

Key Concept

Syllogism - Categorical Deduction with Universal Premises (Celarent Figure)

Question 336Question →

Examine the public administration statement and the two arguments provided below:

Statement: Should municipal corporations mandate that all commercial food establishments segregate organic kitchen waste from non-biodegradable waste prior to daily collection?

Arguments:
I. Yes, because source segregation of organic waste substantially enhances composting efficiency and decreases landfill pollution.
II. No, because food establishment owners who fail to segregate waste on any single day should face immediate permanent cancellation of their trade licenses.

Which of the following choices correctly assesses the strength of the arguments?

Only argument I is strong

Only argument II is strong

Both argument I and argument II are strong

Neither argument I nor argument II is strong

Show answer & explanation

Answer: Only argument I is strong

Answer

Only argument I is strong.

The argument advocating waste segregation is strong because it provides a realistic, practical benefit (enhanced composting and reduced landfill pollution) directly aligned with the proposed policy. Conversely, the argument against it relies on an extreme administrative penalty—immediately cancelling trade licenses for a single daily failure—making it logically weak and disproportionate.

Step-by-Step Solution

Analyze Argument I for logical relevance and realistic impact.

Argument I establishes a direct, positive causal link between organic waste segregation, improved composting, and reduced landfill waste.

A strong argument must be directly relevant to the statement and backed by realistic, non-trivial reasoning.

Analyze Argument II for administrative proportionality and logical validity.

Argument II advocates an extreme punitive measure (permanent cancellation of license for a single minor infraction) rather than addressing the core objective of the statement.

Arguments advocating disproportionate, harsh administrative actions without constructive reasoning are classified as weak arguments.

Combine the evaluations to select the correct conclusion.

Only Argument I meets the criteria for a strong argument, while Argument II is weak.

Evaluating both arguments demonstrates that Argument I is valid and Argument II is flawed.

Key Concept

Distinguishing strong arguments based on logical soundness and policy feasibility from weak arguments based on extreme administrative actions.

Question 337Question →

Read the given statements and candidate conclusions carefully. Assuming the statements to be true even if they seem at variance from commonly known facts, select which of the conclusions logically follow(s) from the given statements.

Statements:
1. All deep-sea submersibles are pressure-resistant vessels.
2. No pressure-resistant vessels are surface dinghies.

Conclusions:
I. No deep-sea submersibles are surface dinghies.
II. Some deep-sea submersibles are surface dinghies.

Only conclusion I follows

Only conclusion II follows

Either conclusion I or conclusion II follows

Neither conclusion I nor conclusion II follows

Show answer & explanation

Answer: Only conclusion I follows

Answer

Only conclusion I follows

The correct answer is that only conclusion I follows. The first premise establishes that every deep-sea submersible is inside the category of pressure-resistant vessels. The second premise establishes that no pressure-resistant vessel can be a surface dinghy. Consequently, deep-sea submersibles can never overlap with surface dinghies, making conclusion I ('No deep-sea submersibles are surface dinghies') logically valid.

Step-by-Step Solution

Analyze Premise 1

Deep-sea submersibles is a proper subset of Pressure-resistant vessels (

A \subseteq B

Universal affirmative statement ('All A are B').

Analyze Premise 2

Pressure-resistant vessels and Surface dinghies are disjoint sets (

B \cap C = \emptyset

Universal negative statement ('No B are C').

Combine premises to test Conclusion I

Since

A \subseteq B

and

B \cap C = \emptyset

, it logically follows that

A \cap C = \emptyset

('No deep-sea submersibles are surface dinghies').

Transitive property of disjoint set containment.

Evaluate Conclusion II

Conclusion II states

A \cap C \neq \emptyset

, which directly violates

A \cap C = \emptyset

A particular affirmative conclusion cannot hold when the intersection is proven to be empty.

Key Concept

Syllogistic Categorical Deductions (Universal Negative Rule)

Question 338Question →

Examine the governance proposal and the corresponding arguments presented below:

Statement: Should the National Health Authority mandate the integration of universal electronic health records across all private and public healthcare facilities within two years?

Arguments:
I. Yes, a unified digital health record framework eliminates redundant diagnostic testing, ensures immediate emergency medical history retrieval, and significantly improves patient care efficiency.
II. No, stringently enforcing universal adoption without prior establishment of robust data privacy laws and cybersecurity infrastructure exposes sensitive patient data to severe breach risks.

Which of the evaluation choices best describes the logical strength of these arguments?

Only argument I is strong

Only argument II is strong

Neither argument I nor argument II is strong

Both argument I and argument II are strong

Show answer & explanation

Answer: Both argument I and argument II are strong

Answer

Both argument I and argument II are strong.

Both arguments are strong. The first argument provides a cogent, practical justification highlighting how universal digital records improve clinical turnaround and eliminate redundant testing. The second argument delivers a valid counter-perspective by emphasizing the severe privacy risks and technical vulnerabilities of mandating adoption before securing cybersecurity infrastructure. Because both points are realistic, directly relevant, and logically sound, both arguments hold strong weight.

Step-by-Step Solution

Evaluate Argument I for direct relevance, practical feasibility, and logical soundness.

Argument I is strong because it presents concrete, realistic clinical and operational benefits (reducing redundant diagnostic tests and accelerating emergency access) directly resulting from universal electronic health record implementation.

An argument is strong if it is directly relevant to the statement and provides a sound, non-trivial justification.

Evaluate Argument II for direct relevance, practical feasibility, and logical soundness.

Argument II is strong because it addresses a crucial policy prerequisite—cybersecurity infrastructure and data privacy safeguards—highlighting a major administrative risk associated with premature mandatory enforcement.

An argument pointing out genuine systemic risks or missing prerequisites for policy implementation is logically valid and strong.

Synthesize the evaluations to choose the correct answer option.

Since both arguments address important, valid aspects (operational benefits vs. security prerequisites) with logical soundness, both arguments are strong.

When two opposing arguments present sound, practical, and non-trivial points without extreme fallacies, both are considered strong in logical reasoning assessments.

Key Concept

Evaluation of Strong vs. Weak Arguments in Policy Contexts

Question 339Question →

Examine the following categorical premises and determine the validity of the derived conclusions:

Premises:
1. All synthetic room-temperature superconductors are diamagnetic materials.
2. No diamagnetic materials are ferromagnetic alloys.

Conclusions:
I. No synthetic room-temperature superconductor is a ferromagnetic alloy.
II. Some diamagnetic materials are synthetic room-temperature superconductors.
III. No ferromagnetic alloy is a synthetic room-temperature superconductor.

Which of the candidate conclusions logically follow(s) from the given premises under modern categorical logic?

All conclusions I, II, and III follow

Only conclusions I and III follow

Only conclusion I follows

Only conclusion II follows

Show answer & explanation

Answer: Only conclusions I and III follow

Answer

Only conclusions I and III follow

Conclusion I is logically valid because if all elements of

S

belong to set

D

, and set

D

shares no elements with set

F

, then set

S

can share no elements with set

F

. Conclusion III is also valid because a universal negative proposition ('No

S

F

') undergoes valid simple conversion to 'No

F

S

'. Conclusion II is invalid under standard Boolean categorical logic because deriving a particular statement ('Some

D

are

S

') from universal premises without asserting existence constitutes an existential fallacy. Therefore, the option stating that only conclusions I and III follow is correct.

Step-by-Step Solution

Represent premises symbolically in standard categorical form

Let

S

= synthetic room-temperature superconductors,

D

= diamagnetic materials,

F

= ferromagnetic alloys. Premise 1: All

S

are

D

(

S \subseteq D

). Premise 2: No

D

are

F

(

D \cap F = \emptyset

Symbolic representation allows clear visual and set-theoretic verification of categorical relationships.

Evaluate Conclusion I: No

S

F

Since

S \subseteq D

and

D \cap F = \emptyset

, it follows directly that

S \cap F = \emptyset

. Thus, 'No synthetic room-temperature superconductor is a ferromagnetic alloy' is logically valid (Figure 1 Celarent syllogism).

A subset of a set disjoint from

F

must also be completely disjoint from

F

Evaluate Conclusion II: Some

D

are

S

Deriving a particular proposition ('Some

D

are

S

') from universal statements ('All

S

are

D

') requires assuming that the set

S

is non-empty (

S \neq \emptyset

). Under modern Boolean logic, universal premises do not carry existential import. Hence, Conclusion II is invalid.

Assuming non-emptiness of universal categories without explicit existential premises is an existential fallacy.

Evaluate Conclusion III: No

F

S

From Conclusion I ('No

S

F

'), applying simple conversion for

E

-type categorical propositions yields 'No

F

S

'. Thus, Conclusion III logically follows.

Universal negative (

E

) propositions convert validly without changing truth value.

Key Concept

Existential Fallacy and Categorical Syllogism Conversions

Estimated Time:1m 30s

Question 340Question →

Evaluate the logical validity of the following argument in response to a policy proposal:

Proposal: Should the state government immediately prohibit the use of all diesel-powered commercial vehicles within metropolitan boundaries?

Argument: No, because neighboring states have not yet implemented such a prohibition.

Assertion: This argument is considered logically strong because maintaining administrative consistency with neighboring jurisdictions serves as a valid and sufficient primary justification for rejecting the policy.

True

False

Show answer & explanation

Answer: False

Answer

False. The provided argument is logically weak, making the assertion false.

The assertion is false. According to the principles of logical reasoning, an argument that merely cites the actions or inactions of others (imitation) without providing substantive reasons regarding the policy's own merits, drawbacks, or feasibility is considered a weak argument.

Step-by-Step Solution

Analyze the core requirement of the policy proposal.

The proposal focuses on banning diesel commercial vehicles in metropolitan areas, likely for environmental or health reasons.

Understanding the core issue is required to evaluate if the argument addresses it.

Examine the reasoning provided in the argument against the proposal.

The argument opposes the ban solely because neighboring states have not implemented it.

Identifying the argument's core premise determines its logical foundation.

Evaluate the logical connection between the argument and the proposal's intrinsic merits.

The argument relies on comparison and imitation rather than addressing the direct consequences, feasibility, or impacts of the ban itself.

An argument must have direct relevance to be considered strong.

Conclude on the strength of the argument based on standard logical reasoning rules.

Arguments based merely on example or imitation without substantive supporting reasons are classified as weak arguments.

This establishes that the assertion claiming the argument is 'strong' is false.

Key Concept

Evaluating the strength of arguments based on relevance, substance, and the avoidance of imitation fallacies.

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Logical Reasoning and Analytical Ability

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