Logical Reasoning and Analytical Ability Practice Questions — State PSC Exam — Page 15

Question 281Question →

Rohan starts walking from his house and travels $10\text{ m}$ towards the East. He then turns to his right and walks $5\text{ m}$ . Next, he turns to his left and walks $10\text{ m}$ . Finally, he turns to his left again and walks $5\text{ m}$ . In which direction is Rohan currently facing?

North

South

East

West

Show answer & explanation

Answer: North

Answer

North

Following the turn sequence step-by-step: East

\rightarrow

Right turn

\rightarrow

South

\rightarrow

Left turn

\rightarrow

East

\rightarrow

Left turn

\rightarrow

North. Therefore, Rohan is currently facing North.

Step-by-Step Solution

1

Track initial direction

Rohan travels

10\text{ m}

East, so he is facing East.

Establishes the starting orientation.

2

Apply first right turn

A

90^\circ

right turn from East reorients him facing South.

Turning right when facing East points towards South.

3

Apply second turn (left turn)

A

90^\circ

left turn from South reorients him facing East.

Turning left when facing South points towards East.

4

Apply final turn (left turn)

A

90^\circ

left turn from East reorients him facing North.

Turning left when facing East points towards North.

Key Concept

Direction tracking through sequential orthogonal turns

Question 282Question →

Six executives—P, Q, R, S, T, and U—are to be assigned to two committees: Committee 1 and Committee 2, each consisting of exactly three members. The assignments must satisfy the following conditions:
• P and Q must be in the same committee.
• R and S cannot be in the same committee.
• T is assigned to Committee 1.
• If P is assigned to Committee 1, then U must be assigned to Committee 2.
• U and S must be in the same committee.

Which of the following executives must be assigned to Committee 2 along with P and Q?

R

S

U

T

Show answer & explanation

Answer: R

Answer

R

Since P and Q must be together in Committee 2, and U and S must be together in Committee 1 to respect the 3-member capacity per committee, R is the only remaining executive who can join P and Q in Committee 2 while satisfying the rule that R and S are in different committees.

Step-by-Step Solution

1

Analyze committee capacities and fixed placements

Committee 1 has T. Both Committee 1 and Committee 2 need exactly 3 members.

Total executives are 6, split equally into two groups of 3.

2

Evaluate placement of P and Q

If P and Q are in Committee 1, Committee 1 has {T, P, Q} (full). Then Committee 2 must have {R, S, U}. But R and S cannot be together, so P and Q cannot be in Committee 1. Thus, P and Q are in Committee 2.

Placing P and Q in Committee 1 forces R and S into Committee 2 together, violating the rule that R and S must be in different committees.

3

Determine placements for remaining members U, S, and R

Committee 2 currently has {P, Q} (2 members). Committee 1 currently has {T} (1 member). Since U and S must be together, they must go to Committee 1 to avoid overflowing Committee 2. Thus, Committee 1 = {T, U, S}. The remaining person R must go to Committee 2.

Putting U and S in Committee 2 would give Committee 2 four members ({P, Q, U, S}), which exceeds the limit of 3.

Key Concept

Multi-constraint grouping and deduction based on capacity limits

Question 283Question →

An officer leaves his office at point $O$ and walks $12\text{ km}$ due East to reach point $P_1$ . He then turns $90^\circ$ to his left and walks $9\text{ km}$ due North to reach point $P_2$ . From $P_2$ , he turns $135^\circ$ in the clockwise direction and walks $5\sqrt{2}\text{ km}$ straight to reach point $P_3$ . Finally, he turns due West and walks $17\text{ km}$ to reach point $P_4$ . What is the shortest distance between his final position $P_4$ and his starting point $O$ , and in which direction is he relative to the starting point?

4\text{ km}

, North

4\text{ km}

, South

5\text{ km}

, North-East

17\text{ km}

, West

Show answer & explanation

Answer: $4\text{ km}$ , North

Answer

4\text{ km}

due North of the starting point.

By resolving each movement step into Cartesian coordinates starting from origin

(0,0)

:
-

P_1 = (12, 0)

-

P_2 = (12, 9)

- Turning

135^\circ

clockwise from North points South-East. Moving

5\sqrt{2}\text{ km}

gives

\Delta x = +5

and

\Delta y = -5

, so

P_3 = (17, 4)

.
- Moving

17\text{ km}

West gives

P_4 = (0, 4)

.
The shortest distance from

(0,0)

to

(0,4)

is

4\text{ km}

due North.

Step-by-Step Solution

1

Set origin

O

at

(0, 0)

and calculate coordinates after the first two movements.

After walking

12\text{ km}

East,

P_1 = (12, 0)

. After turning

90^\circ

left (facing North) and walking

9\text{ km}

,

P_2 = (12, 9)

.

East represents the

+x

direction and North represents the

+y

direction.

2

Determine facing direction at

P_2

and calculate displacement for the

135^\circ

clockwise turn.

Facing North (

0^\circ

). A

135^\circ

clockwise turn points South-East. Moving

5\sqrt{2}\text{ km}

South-East gives

\Delta x = 5\sqrt{2} \cdot \cos(45^\circ) = 5\text{ km}

and

\Delta y = -5\sqrt{2} \cdot \sin(45^\circ) = -5\text{ km}

. Thus,

P_3 = (12 + 5, 9 - 5) = (17, 4)

.

South-East movement increases the

x

-coordinate by

5

and decreases the

y

-coordinate by

5

.

3

Calculate final position

P_4

after walking

17\text{ km}

West.

Walking

17\text{ km}

West (

-x

direction) from

(17, 4)

gives

P_4 = (17 - 17, 4) = (0, 4)

.

Westward displacement directly reduces the

x

-coordinate by

17\text{ km}

.

4

Compute shortest distance and direction from origin

(0,0)

to

(0,4)

.

Shortest distance

= \sqrt{(0-0)^2 + (4-0)^2} = 4\text{ km}

in the positive

y

-direction (North).

Since the

x

-coordinate is

0

and

y = 4

, the point lies directly on the North axis.

Key Concept

Vector resolution of multi-step directional movements involving angular turns

Estimated Time:1m 30s

Question 284Question →

Four diplomats—Kiran, Latika, Manish, and Nidhi—are assigned to four distinct policy desks (Trade, Security, Environment, and Culture) and work during four different duty shifts (Shift 1, Shift 2, Shift 3, and Shift 4), such that no two diplomats share the same desk or shift.

The assignments follow these conditions:
1. The diplomat assigned to the Security desk works during Shift 3.
2. Kiran works during Shift 1, but is not assigned to the Environment desk.
3. Latika is assigned to the Trade desk and works in an even-numbered shift.
4. Nidhi works in Shift 4.

Based on the information above, match each diplomat in List I with their correct policy desk assignment in List II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Kiran matches with Culture Desk, Latika matches with Trade Desk, Manish matches with Security Desk, and Nidhi matches with Environment Desk.

By resolving shift slots systematically (Kiran = Shift 1, Latika = Shift 2, Manish = Shift 3, Nidhi = Shift 4), we deduce that Manish handles Security. Latika handles Trade by explicit clue. Eliminating Environment for Kiran leaves her with Culture, which leaves Nidhi with Environment.

Step-by-Step Solution

1

Determine shift assignments for all diplomats.

Kiran is Shift 1 (Clue 2). Nidhi is Shift 4 (Clue 4). Latika works in an even shift (Clue 3), which must be Shift 2 since Shift 4 is occupied by Nidhi. Consequently, Manish must work Shift 3.

Each diplomat works in a unique shift from 1 to 4.

2

Map shift assignments to policy desks using Clue 1.

The Security desk is assigned to Shift 3. Since Manish works Shift 3, Manish is assigned to the Security desk.

Direct deduction connecting Shift 3 to the Security desk.

3

Assign desks to Latika and Kiran.

Latika is assigned to Trade (Clue 3). Kiran works Shift 1 and cannot be assigned to Environment (Clue 2). The remaining unassigned desks for Kiran are Culture and Environment, so Kiran must take Culture.

Conditional restriction eliminates Environment for Kiran.

4

Assign the remaining desk to Nidhi.

With Trade, Security, and Culture assigned, Nidhi is assigned to the remaining desk, which is Environment.

Exhaustive elimination of assigned desks.

Key Concept

Analytical Puzzles and Grouping

Question 285Question →

A maintenance engineer at a solar power facility begins an inspection from the central monitoring unit facing East. He first walks $15\text{ m}$ straight ahead, then turns $90^\circ$ clockwise and walks $20\text{ m}$ . Next, he turns $135^\circ$ anti-clockwise and walks $10\sqrt{2}\text{ m}$ . He then turns $45^\circ$ clockwise and walks $5\text{ m}$ . Finally, he turns $90^\circ$ anti-clockwise and walks $10\text{ m}$ to reach his final inspection point. What is the shortest distance (in meters) between his final position and the central monitoring unit?

Show answer & explanation

Answer: 30

Answer

The shortest distance between the final position and the central monitoring unit is

30\text{ m}

.

By resolving each directional move into Cartesian coordinates

(x, y)

, the initial segment gives

(15, 0)

, the second segment gives

(15, -20)

, the third segment along North-East adds

(10, 10)

to reach

(25, -10)

, the fourth segment adds

(5, 0)

to reach

(30, -10)

, and the final segment adds

(0, 10)

to land exactly at

(30, 0)

. The straight-line distance from

(0,0)

to

(30,0)

is

30\text{ m}

.

Step-by-Step Solution

1

Set up a 2D Cartesian coordinate system with the starting central monitoring unit at

(0,0)

facing East along the positive x-axis.

Initial position after

15\text{ m}

East is

(15, 0)

.

Tracking displacement using coordinates avoids directional confusion.

2

Determine facing direction and displacement after a

90^\circ

clockwise turn.

Facing direction becomes South. Position after moving

20\text{ m}

South is

(15, -20)

.

Turning

90^\circ

clockwise from East points directly South.

3

Calculate component displacements for a

135^\circ

anti-clockwise rotation from South.

Facing direction becomes North-East (

45^\circ

). Moving

10\sqrt{2}\text{ m}

adds

+10\text{ m}

to x and

+10\text{ m}

to y, yielding position

(25, -10)

.

Anti-clockwise rotation from South (

270^\circ

) by

135^\circ

leads to

45^\circ

(North-East), where

10\sqrt{2} \cdot \frac{1}{\sqrt{2}} = 10\text{ m}

along each axis.

4

Apply the next movement of

5\text{ m}

after a

45^\circ

clockwise turn.

Facing direction turns from North-East back to East. Position becomes

(25 + 5, -10) = (30, -10)

.

Turning

45^\circ

clockwise from North-East realigns the path to due East.

5

Apply final turn of

90^\circ

anti-clockwise and movement of

10\text{ m}

.

Facing direction becomes North. Position becomes

(30, -10 + 10) = (30, 0)

.

Turning

90^\circ

anti-clockwise from East points North, adding

+10\text{ m}

to the y-coordinate.

6

Compute net displacement from starting point

(0,0)

to final point

(30,0)

.

Shortest distance =

\sqrt{(30-0)^2 + (0-0)^2} = 30\text{ m}

.

Applying the Euclidean distance formula gives the straight-line distance.

Key Concept

Multi-leg spatial vector addition using 2D Cartesian coordinates and trigonometric angular conversions.

Question 286Question →

The following eligibility criteria and exception rules must be satisfied for the recruitment of a Chief Environmental Officer in the State Pollution Control Board as of August 1, 2026:

Primary Criteria:
1. Educational Qualification: Possess a Master's degree in Environmental Science or Chemical Engineering with at least $60\%$ marks.
2. Age Limit: Be between $30$ and $45$ years of age as of August 1, 2026.
3. Experience: Have at least $7$ years of field or administrative experience in environmental management or industrial waste management.
4. Certification: Hold a State Professional Certification in Environmental Audit.

Exceptions and Overrides:
(i) If a candidate satisfies all criteria except (1) above, but holds a Ph.D. in Environmental Toxicology with at least $55\%$ marks in Master's, the case is to be referred to the State Environmental Advisory Board.
(ii) If a candidate satisfies all criteria except (2) above, but is an existing Senior Government Environmental Engineer with over $10$ years of service, the upper age limit is relaxed up to $50$ years and the candidate is to be Selected under In-Service Relaxation.
(iii) If a candidate satisfies all criteria except (4) above, but has published $5$ or more research papers in peer-reviewed journals on waste management, the candidate is to be Provisionally Selected (subject to obtaining certification within 6 months).
(iv) If a candidate fails to satisfy more than one primary criterion without qualifying for specific overrides, the application is to be Rejected.

Based on the criteria and exceptions listed above, match each candidate to their correct administrative decision outcome.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Dr. Aris Thorne maps to 'Refer Case to the State Environmental Advisory Board'; Ms. Sunita Rao maps to 'Selected under In-Service Relaxation'; Mr. Vikram Sethi maps to 'Provisionally Selected (subject to certification within 6 months)'; Mr. Rohan Verma maps to 'Reject Application'.

Each candidate's profile systematically corresponds to one distinct exception or decision rule within the recruitment framework: Dr. Aris Thorne triggers the advisory board referral via Ph.D. override; Ms. Sunita Rao triggers in-service age relaxation up to 50 years; Mr. Vikram Sethi triggers provisional selection based on research publications; and Mr. Rohan Verma fails multiple criteria requiring application rejection.

Step-by-Step Solution

1

Evaluate candidate Dr. Aris Thorne against primary criteria and exception clauses.

Age (36) is valid. Experience (8 years) is valid. Certification is present. Qualification score is 58% (< 60%), failing criterion 1. However, Exception (i) applies due to a Ph.D. in Environmental Toxicology and 58% >= 55% in Master's.

Exception (i) mandates referring the case to the State Environmental Advisory Board.

2

Evaluate candidate Ms. Sunita Rao against primary criteria and exception clauses.

Qualification (65%), experience (12 years), and certification are valid. Age (47) exceeds 45, failing criterion 2. However, Exception (ii) applies as she is an in-service Senior Engineer with over 10 years of service.

Exception (ii) permits age relaxation up to 50 years and specifies selection under In-Service Relaxation.

3

Evaluate candidate Mr. Vikram Sethi against primary criteria and exception clauses.

Qualification (68%), age (38), and experience (9 years) are valid. Certification is absent, failing criterion 4. However, Exception (iii) applies as he has published 6 peer-reviewed papers (>= 5).

Exception (iii) mandates provisional selection with a 6-month window to obtain certification.

4

Evaluate candidate Mr. Rohan Verma against primary criteria and exception clauses.

Age (33) and qualification (62%) are valid. Experience (5 years < 7 years) fails criterion 3, and missing certification fails criterion 4. Two primary criteria are failed.

Rule (iv) dictates rejection when more than one primary criterion is failed without qualifying override provisions.

Key Concept

Multi-Condition Administrative Criteria Evaluation and Override Matching

Estimated Time:2m 0s

Question 287Question →

Four senior researchers—Amir, Bina, Caleb, and Divya—are assigned to four distinct laboratories: Genomics, Robotics, Photonics, and Quantum. Each researcher works in either the Morning shift or the Evening shift, such that exactly two researchers work in the Morning shift and two in the Evening shift. The assignments adhere to the following conditions:

1. Amir works in the Morning shift, but is assigned to neither the Genomics lab nor the Quantum lab.
2. Bina works in the Photonics lab.
3. Caleb works in the Evening shift.
4. The researcher assigned to the Genomics lab works in the Evening shift.
5. The researcher assigned to the Quantum lab works in the Morning shift.

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

Amir is assigned to the Quantum lab on the Morning shift.

Bina works on the Morning shift in the Photonics lab.

Divya is assigned to the Quantum lab on the Morning shift.

Caleb works in the Robotics lab on the Evening shift.

Show answer & explanation

Answer: Divya is assigned to the Quantum lab on the Morning shift.

Answer

Divya is assigned to the Quantum lab on the Morning shift.

Through step-by-step logical elimination, the two Morning shift positions are filled by Amir in Robotics and the Quantum researcher. Since Amir, Bina (Photonics), and Caleb (Genomics, Evening) are accounted for, Divya is unambiguously assigned to the Quantum lab on the Morning shift.

Step-by-Step Solution

1

Analyze shift breakdown by lab.

Quantum lab is Morning shift (Condition 5). Genomics lab is Evening shift (Condition 4).

Establishing the shift associated with each laboratory simplifies researcher mapping.

2

Determine Amir's laboratory and shift.

Amir works Morning shift (Condition 1). Since he cannot be in Genomics or Quantum, and Bina is in Photonics (Condition 2), Amir must be in Robotics on the Morning shift.

Amir's morning shift constraint leaves Robotics as his only possible lab.

3

Identify all Morning shift positions.

The two Morning shift slots are filled by Amir (Robotics) and the Quantum researcher.

Exactly two researchers work the Morning shift.

4

Determine shifts for Bina and Caleb.

Since Bina (Photonics) is not in Morning shift, Bina works Evening shift. Caleb works Evening shift (Condition 3). Therefore, Caleb is in Genomics.

Genomics is an Evening shift lab, matching Caleb's Evening shift assignment.

5

Assign the remaining researcher, Divya.

Divya must be assigned to Quantum on the Morning shift.

Divya is the only researcher remaining for the Quantum (Morning) slot.

Key Concept

Analytical Grouping and Multi-Variable Deduction

Question 288Question →

Situation: A recent internal government audit highlighted that a substantial portion of the budget allocated for a critical rural drinking water initiative remains unutilized. The audit noted that the primary cause is the inability of assigned local contractors to operate the newly procured, advanced purification machinery due to a lack of technical training.

Statement: A logically sound and administratively appropriate course of action in response to this audit would be to immediately cancel the rural drinking water initiative and reallocate all the remaining funds to urban infrastructure projects.

True

False

Show answer & explanation

Answer: False

Answer

The statement is false. An appropriate administrative course of action must target the specific root cause (lack of training) rather than abandoning an essential public welfare project in response to a correctable operational bottleneck.

The statement evaluates to false because the proposed action violates the core principle of administrative proportionality. When confronted with an operational bottleneck—in this case, a correctable lack of technical training—a logically sound course of action must involve implementing targeted remedies, such as capacity-building workshops or hiring specialized personnel. Completely abandoning an essential rural utility project is an extreme, defeatist measure that punishes the intended beneficiaries while failing entirely to address the actual competency issue.

Step-by-Step Solution

1

Identify the core problem and its root cause as presented in the situation.

The core problem is unutilized project funds, and the root cause is that local contractors lack the technical training needed to operate new purification machinery.

Understanding the exact origin of a problem is essential to evaluating whether a proposed solution effectively addresses it.

2

Analyze the scope and impact of the proposed course of action.

The proposal suggests terminating the entire rural drinking water project and shifting the budget to an unrelated urban sector.

To determine if the action is proportionate, practical, and aligned with administrative priorities.

3

Evaluate the administrative soundness of the action against the identified problem.

The proposed action fails to resolve the training deficit and instead deprives rural citizens of a critical necessity. Therefore, it is an extreme and invalid administrative response.

A valid course of action must actively solve the presented issue without generating severe, disproportionate negative consequences.

Key Concept

Evaluating Administrative Proportionality and Root Cause Resolution

Question 289Question →

An agricultural district experienced an unusually severe and prolonged summer heatwave over two consecutive months. Which of the following developments represent direct logical EFFECTS resulting from this severe heatwave? (Select all that apply)

Select all that apply

The district administration opening temporary public cooling shelters and deploying emergency drinking water tankers

A significant increase in daily peak electricity demand driven by widespread air conditioning and refrigeration usage

The occurrence of the severe heatwave being caused by the administration opening public cooling shelters

An immediate drop in summer atmospheric temperatures triggered directly by the increase in electricity demand

Show answer & explanation

Answer: The district administration opening temporary public cooling shelters and deploying emergency drinking water tankers; A significant increase in daily peak electricity demand driven by widespread air conditioning and refrigeration usage

Answer

The statements identifying administrative relief measures (water tankers and cooling shelters) and increased peak electricity demand are the correct logical effects of the severe heatwave.

Extreme environmental temperatures naturally lead to higher demand for cooling equipment (causing electricity demand to rise) and prompt administrative intervention (such as deploying water tankers and opening cooling centers). Both of these represent direct, logical effects of the heatwave.

Step-by-Step Solution

1

Identify the primary cause described in the scenario

The primary cause is the severe and prolonged summer heatwave in the district.

Establishing the root event is necessary to determine which subsequent events logically follow as consequences.

2

Evaluate each option to determine if it is a plausible consequence of the heatwave

Emergency administrative measures and high electricity demand for cooling are logical consequences. Inverting the cause-effect direction or assuming electricity demand cools the climate is logically invalid.

An effect must naturally follow the cause in chronological and logical sequence.

Key Concept

Identifying direct logical consequences (effects) resulting from an established cause

Question 290Question →

A delivery supervisor starts from a central warehouse facing East. He drives $15\text{ km}$ due East, turns $90^\circ$ to his left, and drives $12\text{ km}$ . He then turns $135^\circ$ clockwise and drives $5\sqrt{2}\text{ km}$ . Next, he turns $135^\circ$ anti-clockwise and drives $8\text{ km}$ due North. Finally, he turns $90^\circ$ to his left and drives $20\text{ km}$ . What is the shortest distance between his final position and the central warehouse, and in which direction is he located relative to the central warehouse?

15\text{ km}

, North

25\text{ km}

, North-East

15\text{ km}

, South

20\text{ km}

, North-West

Show answer & explanation

Answer: $15\text{ km}$ , North

Answer

15\text{ km}

, North

The net horizontal displacement cancels completely to

0\text{ km}

(

15 + 5 - 20 = 0

), while the net vertical displacement totals

+15\text{ km}

(

12 - 5 + 8 = 15

). This places the final position exactly

15\text{ km}

North of the starting point.

Step-by-Step Solution

1

Set initial position and track the first two straight movements.

Position becomes

(15, 0)

after moving East, then

(15, 12)

after moving North.

Moving East adds to the x-coordinate; turning

90^\circ

left faces North and adds to the y-coordinate.

2

Apply the angular rotation of

135^\circ

clockwise.

New facing direction is South-East (

-45^\circ

).

Facing North (

90^\circ

), a

135^\circ

clockwise rotation turns the direction to South-East.

3

Calculate displacement for

5\sqrt{2}\text{ km}

South-East.

Displacement is

\Delta x = +5\text{ km}

and

\Delta y = -5\text{ km}

, giving position

(20, 7)

.

5\sqrt{2} \cos(-45^\circ) = +5

and

5\sqrt{2} \sin(-45^\circ) = -5

.

4

Apply

135^\circ

anti-clockwise turn and

8\text{ km}

movement North.

New position is

(20, 7 + 8) = (20, 15)

.

Rotating

135^\circ

anti-clockwise from South-East points North, increasing the y-coordinate by

8

.

5

Apply final

90^\circ

left turn (West) and

20\text{ km}

movement.

Final position is

(20 - 20, 15) = (0, 15)

.

Turning left from North points West, decreasing the x-coordinate by

20

.

6

Calculate net distance and direction from origin

(0,0)

.

Shortest distance

= \sqrt{0^2 + 15^2} = 15\text{ km}

, direction is due North.

The x-offset is zero and y-offset is positive

15

.

Key Concept

Vector displacement in Cartesian coordinates with angular turns

Question 291Question →

Match each policy intervention or socio-economic phenomenon listed in List I with its corresponding direct primary cause or logical outcome in List II.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The correct matching pairs are: Subsidies for drip irrigation match with decreased agricultural groundwater depletion and enhanced water-use efficiency; Congestion pricing implementation matches with increased reliance on mass transit systems and staggered workplace timings; Digital credit history tracking matches with improved borrower risk assessment and reduced asymmetric information; Spike in respiratory hospital admissions matches with post-harvest crop residue burning combined with atmospheric temperature inversion.

Each item in List I represents an action or event whose direct underlying cause or primary effect is uniquely identified in List II. Drip irrigation subsidies directly improve agricultural water-use efficiency and lower groundwater depletion. Congestion pricing drives commuters toward public transit and staggered shifts. Digital credit tracking solves asymmetric information problems to reduce loan defaults. Severe seasonal respiratory spikes stem from post-harvest crop residue burning trapped by atmospheric inversion.

Step-by-Step Solution

1

Evaluate the direct logical outcome of agricultural drip irrigation subsidies.

Drip irrigation delivers water directly to root zones, minimising evaporation and runoff.

Financial incentives for water-conserving tech directly produce measurable groundwater conservation.

2

Evaluate the behavioral impact of urban congestion pricing.

Peak-hour road pricing increases private driving costs, shifting modal choice toward public transit.

Economic disincentives directly alter commuter transit preferences and driving times.

3

Analyze the financial market effect of digital credit history tracking.

Transparent credit records resolve lender uncertainty regarding borrower creditworthiness.

Eliminating information asymmetry lowers bad debt and micro-loan defaults.

4

Determine the primary cause of seasonal urban respiratory hospital admission surges.

Stubble burning generates pollutant volume while atmospheric inversion prevents vertical pollutant dispersion.

The co-occurrence of heavy particulate emission and meteorological trapping forms the direct underlying cause of severe respiratory distress spikes.

Key Concept

Direct Cause and Effect Relationships in Public Policy and Environmental Systems

Question 292Question →

Read the given relationship statements carefully: 'X is the child of Y, and Y is the mother of Z.' If W is the brother of X, which of the following best describes the relationship of Z to W?

Brother or Sister (Cannot be determined uniquely without knowing Z's gender)

Brother

Sister

Uncle

Show answer & explanation

Answer: Brother or Sister (Cannot be determined uniquely without knowing Z's gender)

Answer

Brother or Sister (Cannot be determined uniquely without knowing Z's gender)

Y is the mother of X and Z. Because W is the brother of X, all three are siblings sharing Y as their mother. However, since no relational term specifies whether Z is male or female, Z can be either a brother or a sister to W.

Step-by-Step Solution

1

Analyze parent-child relationships

Y is the common parent of X, Z, and W

Y is the mother of X and Z. Since W is the brother of X, W is also a child of Y.

2

Determine generation and sibling group

X, Z, and W are all siblings

All three share the same mother Y, putting them in the same generation.

3

Evaluate gender of the target person

Gender of Z is unspecified

The term 'child' does not define gender. Without explicit information, Z may be male or female.

Key Concept

Gender ambiguity in family trees

Question 293Question →

Five disaster management specialists—Alok, Bina, Chetan, Divya, and Ekta—are to be assigned to two emergency relief bases: Base Alpha and Base Beta. Each specialist has a distinct primary role: Logistics, Medical, Communications, Operations, or Rescue. The assignment must strictly satisfy the following conditions:

1. Exactly three specialists are assigned to Base Alpha, and two specialists are assigned to Base Beta.
2. The Medical specialist and the Communications specialist must be assigned to the same base.
3. Alok and Divya cannot be assigned to the same base.
4. Chetan is the Rescue specialist and is assigned to Base Beta.
5. Ekta is assigned to Base Alpha, but is neither the Medical specialist nor the Logistics specialist.
6. Bina is the Medical specialist.

Based on the conditions above, which of the following statements MUST be true?

Ekta is the Communications specialist and is assigned to Base Alpha.

Alok is the Operations specialist and is assigned to Base Alpha.

Bina and Chetan are assigned to the same emergency base.

The Logistics specialist is assigned to Base Beta.

Show answer & explanation

Answer: Ekta is the Communications specialist and is assigned to Base Alpha.

Answer

Ekta is the Communications specialist and is assigned to Base Alpha.

Because Base Beta has only 2 slots and contains Chetan (Rescue) along with either Alok or Divya, Base Alpha must contain Bina, Ekta, and the remaining person between Alok and Divya. Bina is the Medical specialist, and since Medical and Communications share the same base, Communications is in Base Alpha. Ekta is in Base Alpha but is neither Medical nor Logistics; hence Ekta must be the Communications specialist.

Step-by-Step Solution

1

Determine base occupancy count and positions for Alok, Divya, and Chetan.

Base Alpha has 3 members and Base Beta has 2 members. Chetan (Rescue) is in Base Beta. Since Alok and Divya must be in different bases, exactly one of them is in Base Beta and the other is in Base Alpha. Thus, Base Beta consists of Chetan and either Alok or Divya.

Base Beta has a maximum capacity of 2 people.

2

Determine members of Base Alpha.

Base Alpha contains Bina, Ekta, and one of {Alok, Divya}.

Since Chetan and one of {Alok, Divya} occupy Base Beta, the remaining three specialists must be in Base Alpha.

3

Determine the location of Medical and Communications roles.

Bina is Medical (given). Since Medical and Communications are at the same base, Communications must also be in Base Alpha.

Base Beta only has one open slot besides Chetan (Rescue), so it cannot accommodate two specialists with Medical and Communications roles.

4

Identify Ekta's role.

In Base Alpha, the roles are Medical (Bina), Communications, and Logistics/Operations. Ekta is in Base Alpha and is not Medical or Logistics. Therefore, Ekta must be the Communications specialist.

Ekta is assigned to Base Alpha and eliminated from being Medical or Logistics by Condition 5.

Key Concept

Analytical Grouping and Constraint Satisfaction Puzzles

Estimated Time:2m 0s

Question 294Question →

Four university professors—Prof. Alok, Prof. Brinda, Prof. Chhaya, and Prof. Dilip—specializing in four distinct subjects (Economics, History, Political Science, and Sociology), are scheduled to present their research papers in four consecutive one-hour time slots: 9:00 AM, 10:00 AM, 11:00 AM, and 12:00 PM on the same day.

The following conditions govern their presentation schedule:
1. Prof. Alok presents immediately before the History specialist.
2. Prof. Brinda presents at 11:00 AM, but she is not the Sociology specialist.
3. The Economics specialist presents at 9:00 AM.
4. Prof. Dilip is the Political Science specialist and presents after Prof. Brinda.

Based on the information provided above, which of the following statements are correct?

Select all that apply

Prof. Chhaya is the Economics specialist and presents at 9:00 AM.

Prof. Alok specializes in History and presents at 10:00 AM.

Prof. Brinda presents at 11:00 AM immediately after the Sociology specialist.

Prof. Dilip is scheduled to present his paper at 10:00 AM.

Show answer & explanation

Answer: Prof. Chhaya is the Economics specialist and presents at 9:00 AM.; Prof. Brinda presents at 11:00 AM immediately after the Sociology specialist.

Answer

The statements confirming that Prof. Chhaya is the Economics specialist presenting at 9:00 AM and that Prof. Brinda presents at 11:00 AM immediately after the Sociology specialist are both correct.

Deducing the full schedule establishes: 9:00 AM - Prof. Chhaya (Economics), 10:00 AM - Prof. Alok (Sociology), 11:00 AM - Prof. Brinda (History), and 12:00 PM - Prof. Dilip (Political Science). Hence, the statement assigning Prof. Chhaya to 9:00 AM Economics and the statement noting Prof. Brinda presents right after the Sociology specialist (Prof. Alok at 10:00 AM) are both factually accurate.

Step-by-Step Solution

1

Determine Prof. Dilip's presentation time and discipline.

Prof. Dilip is the Political Science specialist and presents after Prof. Brinda (11:00 AM). Thus, Prof. Dilip presents at 12:00 PM.

12:00 PM is the only remaining time slot after 11:00 AM.

2

Evaluate the placement of Prof. Alok and the History specialist.

Prof. Alok must present at 10:00 AM, and Prof. Brinda (at 11:00 AM) is the History specialist.

Prof. Alok presents immediately before the History specialist. If Prof. Alok were at 9:00 AM, the person at 10:00 AM would be History, leaving 11:00 AM (Prof. Brinda) as Sociology, which violates clue 2. Therefore, Prof. Alok is at 10:00 AM.

3

Determine the remaining slots and specializations.

Prof. Chhaya presents at 9:00 AM (Economics), Prof. Alok presents at 10:00 AM (Sociology), Prof. Brinda presents at 11:00 AM (History), and Prof. Dilip presents at 12:00 PM (Political Science).

Matching all unassigned individuals and specializations deterministically completes the schedule.

Key Concept

Analytical Puzzles and Grouping

Estimated Time:2m 0s

Question 295Question →

The following criteria have been established for selecting Research Fellows for the State Renewable Energy Development Agency as of August 1, 2026:

1. The candidate must hold a Bachelor's degree in Engineering or Environmental Science with at least $60\%$ marks.
2. The candidate must be between 21 and 30 years of age as of August 1, 2026.
3. The candidate must possess at least 1 year of field experience in renewable energy projects.

Exceptions / Relaxations:
(i) If a candidate has a Master's degree in Renewable Energy, the minimum marks requirement in the Bachelor's degree is relaxed to $55\%$ .
(ii) If a candidate belongs to a notified rural district, the upper age limit is relaxed to 33 years.

Consider the following candidates:
- Rohan: Holds a B.Tech degree with $62\%$ marks, born on May 15, 1998 (age 28), and has 2 years of solar project field experience.
- Priya: Holds an M.Sc in Renewable Energy with $56\%$ in B.Sc, born on April 10, 2000 (age 26), and has 1.5 years of wind energy project experience.
- Vikram: Holds a B.Sc in Environmental Science with $58\%$ marks, born on June 20, 1999 (age 27), and has 3 years of field experience in solar power.
- Ananya: Holds a B.Tech degree with $65\%$ marks, born on January 12, 1994 (age 32, urban district resident), and has 2 years of field experience.

Based strictly on the criteria and provisions above, which of the following statements regarding candidate eligibility are correct?

Select all that apply

Rohan is fully eligible as he satisfies the primary degree percentage, age, and field experience requirements.

Priya is eligible because her Master's degree in Renewable Energy qualifies her for the relaxed minimum mark criteria of

55\%

.

Vikram is eligible because his 3 years of field experience automatically compensates for not meeting the minimum degree percentage.

Ananya must be barred permanently from applying to state jobs for exceeding the maximum age limit.

Show answer & explanation

Answer: Rohan is fully eligible as he satisfies the primary degree percentage, age, and field experience requirements.; Priya is eligible because her Master's degree in Renewable Energy qualifies her for the relaxed minimum mark criteria of $55\%$ .

Answer

The statements confirming Rohan's eligibility based on primary criteria and Priya's eligibility under the Master's degree mark relaxation clause are correct.

Rohan meets all standard criteria directly (

62\%

marks, age 28, 2 years experience). Priya meets the criteria under Exception (i) because her Master's degree lowers her required minimum Bachelor's marks from

60\%

to

55\%

, and her

56\%

exceeds this threshold. Therefore, both statements affirming their eligibility are correct.

Step-by-Step Solution

1

Evaluate Rohan against primary criteria

Rohan holds B.Tech with

62\%

(meets

\ge 60\%

), age is 28 (meets 21–30), and experience is 2 years (meets

\ge 1

year). Rohan is eligible.

Rohan fulfills all three standard criteria without requiring any relaxation.

2

Evaluate Priya against primary criteria and relaxation clauses

Priya has

56\%

marks (below

60\%

) but holds a Master's degree in Renewable Energy. Under Exception (i), her minimum required percentage is reduced to

55\%

. Since

56\% \ge 55\%

, Priya is eligible.

Exception (i) explicitly permits a

55\%

threshold for Master's degree holders in Renewable Energy.

3

Evaluate Vikram and Ananya to verify incorrect assertions

Vikram (

58\%

) has no Master's degree, so he fails criterion 1. Work experience does not override degree marks. Ananya is 32 years old from an urban district and thus exceeds the age limit of 30 without qualifying for rural relaxation.

Criteria must be evaluated strictly as written without assuming unstated overrides or applying extreme punitive actions.

Key Concept

Systematic evaluation of administrative criteria and exception clauses

Question 296Question →

If $A + B$ means ' $A$ is the brother of $B$ ', $A \times B$ means ' $A$ is the father of $B$ ', and $A - B$ means ' $A$ is the sister of $B$ ', then in the expression $P \times Q + R$ , how is $R$ related to $P$ ?

Son

Daughter

Either Son or Daughter

Nephew

Show answer & explanation

Answer: Either Son or Daughter

Answer

R is either the son or daughter of P.

The expression

P \times Q

establishes that

P

is the father of

Q

. The expression

Q + R

establishes that

Q

is the brother of

R

. Together, this means

P

is the father of both

Q

and

R

. Since the expression does not give any information about the gender of

R

,

R

can be either a male child (son) or a female child (daughter) of

P

. Therefore, the relation is 'Either Son or Daughter'.

Step-by-Step Solution

1

Decode the first relation

P \times Q

P

is the father of

Q

(meaning

P

is male and one generation above

Q

).

The symbol '

\times

' indicates that the first person is the father of the second person.

2

Decode the second relation

Q + R

Q

is the brother of

R

(meaning

Q

is male and shares the same parents as

R

).

The symbol '+' indicates that the first person is the brother of the second person.

3

Determine the relation between

P

and

R

and analyze gender constraints

Since

P

is the father of

Q

, and

Q

is

R

's sibling,

P

must also be the father of

R

. However,

Q + R

does not specify whether

R

is male or female.

A brother relationship '

Q

is the brother of

R

' specifies the gender of

Q

(male), but not the gender of

R

.

Key Concept

Gender Determination in Coded Blood Relations

Estimated Time:45s

Question 297Question →

In a family of seven members— $P, Q, R, S, T, U,$ and $V$ —representing three generations, there are two married couples. The relationships among the family members are specified below:

• $R$ is the mother of $T$ and the mother-in-law of $U$ .
• $P$ is the father-in-law of $U$ and has only one son, $S$ .
• $U$ is married to $T$ .
• $Q$ and $V$ are siblings, both being children of $T$ .

Based on the given information, how is $S$ related to $V$ ?

Maternal uncle

Paternal uncle

Nephew

Brother

Show answer & explanation

Answer: Maternal uncle

Answer

Maternal uncle

The correct answer is Maternal uncle because

P

and

R

are married and have two children:

S

(male, since he is the only son) and

T

(female).

T

is married to

U

and is the mother of

V

. Since

S

is the brother of

V

's mother (

T

),

S

is

V

's maternal uncle.

Step-by-Step Solution

1

Determine the first-generation couple and their children.

P

and

R

form a married couple in Generation 1.

R

is the mother of

T

and

P

is the father-in-law of

U

.

Since

R

is the mother of

T

and

P

is the father-in-law of

T

's spouse

U

,

P

and

R

are married.

2

Deduce the genders of

S

and

T

.

S

is male (son) and

T

is female (daughter).

The problem states that

P

has only one son, who is

S

. Because

T

is also a child of

P

and

R

,

T

must be female.

3

Determine the Generation 2 couple and Generation 3 children.

T

(female) is married to

U

(male). Their children are

Q

and

V

.

U

is married to

T

, making

T

the mother of

Q

and

V

.

4

Determine the relationship between

S

and

V

.

S

is the maternal uncle of

V

.

S

is the brother of

T

, and

T

is the mother of

V

. The brother of one's mother is a maternal uncle.

Key Concept

Blood relations gender deduction using uniqueness constraints

Question 298Question →

At 7:00 AM, a courier agent stands at a distribution hub such that his shadow falls directly to his right side. He walks $12\text{ m}$ straight ahead, turns $135^\circ$ anti-clockwise, and walks $10\sqrt{2}\text{ m}$ . He then turns $45^\circ$ clockwise and walks $14\text{ m}$ . Finally, he turns $90^\circ$ to his right and walks $10\text{ m}$ to reach his final destination. What is his shortest distance and direction from the starting point?

36\text{ m}

, South

36\text{ m}

, North

34\text{ m}

, South

10\sqrt{2}\text{ m}

, South-East

Show answer & explanation

Answer: $36\text{ m}$ , South

Answer

36\text{ m}

due South

At 7:00 AM (sunrise), the sun is in the East, projecting shadows toward the West. For a person's shadow to fall to their right, West must be to their right, which means they are facing South. Moving

12\text{ m}

South, turning

135^\circ

anti-clockwise (facing South-East) for

10\sqrt{2}\text{ m}

adds

10\text{ m}

East and

10\text{ m}

South. Turning

45^\circ

clockwise (facing South) for

14\text{ m}

adds

14\text{ m}

South. Turning

90^\circ

right (facing West) for

10\text{ m}

subtracts

10\text{ m}

East. The net East-West displacement is

10 - 10 = 0\text{ m}

, and the net North-South displacement is

-12 - 10 - 14 = -36\text{ m}

(South). Thus, the agent is

36\text{ m}

due South.

Step-by-Step Solution

1

Determine initial facing direction using shadow orientation at sunrise.

Initial facing direction is South.

At 7:00 AM, the sun rises in the East, so shadows fall toward the West. Since the shadow is to the agent's right, West is to his right, meaning he faces South.

2

Trace Movement 1: Walk

12\text{ m}

straight ahead.

Displacement:

(0, -12)\text{ m}

relative to origin

(0,0)

. Facing South.

Walking straight ahead from South orientation moves him

12\text{ m}

South.

3

Trace Movement 2: Turn

135^\circ

anti-clockwise and walk

10\sqrt{2}\text{ m}

.

Displacement:

+10\text{ m}

East,

-10\text{ m}

South. Cumulative position:

(+10, -22)\text{ m}

. Facing South-East.

Turning

135^\circ

anti-clockwise from South reorients him toward South-East.

10\sqrt{2} \cos(45^\circ) = 10\text{ m}

East and

10\sqrt{2} \sin(45^\circ) = 10\text{ m}

South.

4

Trace Movement 3: Turn

45^\circ

clockwise and walk

14\text{ m}

.

Displacement:

-14\text{ m}

South. Cumulative position:

(+10, -36)\text{ m}

. Facing South.

Turning

45^\circ

clockwise from South-East reorients him to face South.

5

Trace Movement 4: Turn

90^\circ

right and walk

10\text{ m}

.

Displacement:

-10\text{ m}

West. Final position:

(0, -36)\text{ m}

.

Turning right from South reorients him to face West. Walking

10\text{ m}

West cancels out the

+10\text{ m}

East component.

6

Calculate final net distance and direction from starting point

(0,0)

.

Distance =

36\text{ m}

, Direction = South.

Net coordinates

(0, -36)

indicate a location

36\text{ m}

due South of origin.

Key Concept

Combining shadow-based initial orientation with multi-step directional vector displacement and angular rotations.

Practice More

Practice similar questions where shadow direction at sunset (5:00 PM) is used to find initial orientation.

Alternative Method

Use a standard Cartesian coordinate system

(x,y)

with North as

+y

, South as

-y

, East as

+x

, and West as

-x

. Setting origin at

(0,0)

and tracking coordinates step-by-step:

(0, -12) \rightarrow (0+10, -12-10) = (10, -22) \rightarrow (10, -22-14) = (10, -36) \rightarrow (10-10, -36) = (0, -36)

, yielding

36\text{ m}

South directly.

Estimated Time:1m 30s

Question 299Question →

The following eligibility conditions must be met for selecting candidates for the post of Rural Digital Literacy Officer in a state development department as of October 1, 2026:

1. The candidate must hold a Bachelor's degree in Computer Applications (BCA) or Information Technology (B.Sc. IT) with a minimum of 60% aggregate marks.
2. The candidate must be between 21 and 30 years of age as of October 1, 2026.
3. The candidate must have at least 1 year of community teaching or technical training experience.
4. The candidate must have secured at least 70% marks in the State General Aptitude Test.

However, if a candidate fulfills all the above criteria EXCEPT:
(a) At condition (1) above, but holds a Bachelor's degree in any basic science discipline with a Post Graduate Diploma in Computer Applications (PGDCA) with at least 65% marks, the case is to be referred to the District Nodal Officer.
(b) At condition (3) above, but has completed 2 full years as an active National Service Scheme (NSS) volunteer, the case is to be referred to the Project Director.

Case Profile:
Anand was born on May 12, 1999. He completed a B.Sc. in Physics with 68% marks and earned a PGDCA with 72% marks. He has 1.5 years of experience as a community IT trainer and scored 75% in the State General Aptitude Test.

Based on the criteria provided above, what action should be taken regarding Anand's application?

The candidate should be selected directly for the post.

The case is to be referred to the District Nodal Officer.

The candidate should be rejected.

The case is to be referred to the Project Director.

Show answer & explanation

Answer: The case is to be referred to the District Nodal Officer.

Answer

The case is to be referred to the District Nodal Officer.

The candidate meets the age requirement (27 years), experience requirement (1.5 years), and entrance test score requirement (75%). Although he does not possess a BCA or B.Sc. IT degree, his B.Sc. in Physics combined with a PGDCA (72% marks) fulfills exception condition (a). Therefore, procedural rules require his case to be referred to the District Nodal Officer.

Step-by-Step Solution

1

Verify age criteria (Condition 2)

As of October 1, 2026, Anand's age is 27 years (born May 12, 1999), which is within the 21 to 30 years age bracket.

Ensure basic demographic eligibility is satisfied.

2

Verify experience and test score criteria (Conditions 3 and 4)

Anand has 1.5 years of training experience (requires min. 1 year) and scored 75% in the Aptitude Test (requires min. 70%). Both conditions are fully met.

Check compliance with non-educational primary criteria.

3

Evaluate educational criteria (Condition 1 and Exception a)

Anand holds a B.Sc. in Physics (not BCA/B.Sc. IT), failing primary condition (1). However, B.Sc. Physics is a basic science degree (68% >= 60%) and he holds a PGDCA with 72% marks (>= 65%), matching exception clause (a).

Determine whether the shortfall in primary qualification is covered by statutory override guidelines.

Key Concept

Systematic Criteria Verification and Exception Handling

Question 300Question →

Consider the following four statements regarding macroeconomic indicators and policy measures in an economy:

Statement I: The central monetary authority increased the benchmark repo rate by 150 basis points to curb rising inflationary pressures.
Statement II: Commercial retail banks raised interest rates on home loans and consumer credit products across all tenure brackets.
Statement III: Total domestic retail expenditure on non-essential consumer durable goods registered a significant decline over the following quarters.
Statement IV: Major international oil-producing nations experienced a sudden drop in global crude oil prices due to unanticipated supply surpluses.

Based on logical cause-and-effect relationships, which of the following analytical assessments are correct?

Select all that apply

Statement I acts as a direct primary cause for the financial outcome observed in Statement II.

Statement III represents a logical downstream effect resulting from the combined impact of the actions in Statements I and II.

Statement IV is the immediate direct cause that prompted the monetary policy intervention described in Statement I.

Statement IV describes an independent external phenomenon that is logically distinct from the internal monetary tightening chain formed by Statements I, II, and III.

Show answer & explanation

Answer: Statement I acts as a direct primary cause for the financial outcome observed in Statement II.; Statement III represents a logical downstream effect resulting from the combined impact of the actions in Statements I and II.; Statement IV describes an independent external phenomenon that is logically distinct from the internal monetary tightening chain formed by Statements I, II, and III.

Answer

The correct assessments are: Statement I acts as a direct primary cause for Statement II; Statement III represents a logical downstream effect resulting from Statements I and II; and Statement IV describes an independent external phenomenon distinct from the internal monetary tightening chain.

The central bank rate hike directly forces commercial banks to raise retail lending rates (establishing a direct cause-and-effect relationship between the first two statements). Consequently, elevated loan rates reduce credit-driven spending on non-essential durable items (establishing a downstream effect in the third statement). Meanwhile, the external drop in global crude oil prices is an independent supply-side event that would naturally reduce inflation rather than trigger a rate hike, making the claim of an independent external event valid while the claim of direct causality invalid.

Step-by-Step Solution

1

Analyze the relationship between Statement I and Statement II

Statement I describes a central bank policy rate hike, which directly causes commercial banks to increase consumer loan rates as described in Statement II.

Central bank policy rates dictate the base cost of funds in the banking system.

2

Analyze the relationship between Statements I/II and Statement III

Increased borrowing costs and reduced liquidity lead directly to decreased consumer spending on non-essential goods.

Higher interest rates disincentivize credit-financed consumer purchases and increase loan repayment burdens.

3

Evaluate the role of Statement IV relative to the domestic policy chain

A drop in global crude oil prices lowers input costs and reduces inflation, so it cannot cause a rate hike aimed at curbing inflation. Thus, it is an independent external event.

The causal effect of falling oil prices opposes the inflationary conditions that trigger rate hikes.

Key Concept

Causal Chain Analysis and Independent Events in Macroeconomic Contexts

Logical Reasoning and Analytical Ability

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer

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Common Mistakes

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Common Mistakes

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Key Concept

Common Mistakes

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Answer

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Key Concept

Common Mistakes

Practice More

Alternative Method

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Answer