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670 questions

Question 41Question

In public administration and workplace governance, a manager must deploy proportional, constitutionally sound, and administratively effective interventions to resolve subordinate grievances and performance issues. Match each workplace administrative scenario on the left with its most appropriate administrative intervention on the right.

Click a left item, then click its matching right item

Items

An anonymous complaint is submitted alleging petty financial corruption against a senior officer who possesses an unblemished 15-year service record.
Two junior officers engage in an ongoing interpersonal dispute that causes severe friction, resulting in missed departmental deadlines and disrupted workflow.
A previously high-performing staff member exhibits a sudden, unexplained decline in output alongside frequent unexcused tardiness over the past month.
A field inspector persistently bypasses standard operating procedures and ignores explicit supervisor directives during routine regulatory enforcement.

Matches

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Answer

The correct pairings match each workplace scenario with its ethically and administratively proportional management intervention: Anonymous corruption complaint matches Confidential preliminary fact-finding inquiry; Interpersonal conflict matches Structured mediation meeting and task decoupling; Sudden performance decline matches Private supervisory counseling session; Repeated procedural non-compliance matches Formal written directive and mandatory retraining.
Each scenario is correctly matched to an intervention that upholds administrative natural justice, operational efficiency, and legal proportionality. Anonymous complaints demand preliminary discrete inquiry; interpersonal friction demands conflict mediation and structural task separation; performance drop demands supportive investigation of root causes; and willful insubordination demands formal, documented disciplinary correction.

Step-by-Step Solution

1
Analyze the legal and procedural implications of anonymous complaints in administrative law.
Unverified anonymous allegations should undergo discrete preliminary verification rather than immediate public punishment to protect administrative morale and due process.
Prevents malicious accusations from paralyzing administrative functions while maintaining corruption oversight.
2
Evaluate the administrative impact of peer conflict versus individual performance decay.
Peer conflict requires mediation and operational separation of duties, whereas individual performance decay in a good employee requires root-cause supervisory dialogue.
Managerial interventions must distinguish between relational dysfunctions and personal/wellbeing impediments.
3
Determine the appropriate escalation for direct insubordination and procedural non-compliance.
Persistent disregard of standard operating procedures demands formal written warnings and compliance retraining.
Administrative integrity relies on strict adherence to established legal and operational guidelines.

Key Concept

Proportional Managerial Interventions and Workplace Grievance Redressal
Question 42Question

In a cryptographic system used for secure communications, the word 'CROWN' is coded as 'ETNYP'. Based on this same coding logic, match the following words on the left with their correct coded forms on the right.

Click a left item, then click its matching right item

Items

PAINT
SHARK
MOUSE
BRICK

Matches

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Answer

PAINT matches with RZHPV, SHARK matches with UJZTM, MOUSE matches with ONTUD, and BRICK matches with DTHEM.
Each word perfectly aligns with its encrypted code when applying the specific rule derived from the stem: shifting consonants forward by 2 letters in the alphabet, and shifting vowels backward by 1 letter.

Step-by-Step Solution

1
Analyze the example 'CROWN' to identify the shift pattern for each letter.
C becomes E (+2), R becomes T (+2), O becomes N (-1), W becomes Y (+2), and N becomes P (+2).
Identifying how the example word is transformed is the first step in decoding the underlying encryption logic.
2
Generalize the coding rule based on the distinct letter types.
Consonants (C, R, W, N) are shifted forward by 2 positions (+2). The vowel (O) is shifted backward by 1 position (-1).
A consistent rule must be established that applies differently to vowels and consonants in order to decode other words.
3
Apply the derived rule to the target words on the left.
Applying the rule yields: PAINT -> RZHPV, SHARK -> UJZTM, MOUSE -> ONTUD, BRICK -> DTHEM.
Encoding each word accurately allows us to find its correct corresponding match on the right side.

Key Concept

Coding based on letter categorization (vowels vs. consonants) with distinct positional shifts.
Question 43Question

Match the following administrative scenarios with the core civil service value they either violate or uphold:

Click a left item, then click its matching right item

Items

An officer uses a minor technicality in documentation to deny drought relief to an illiterate, severely affected farmer.
A magistrate accepts an unsolicited, expensive piece of local artwork from a community leader whose land dispute is pending in their court.
A committee chairperson oversees a recruitment drive where their own nephew is a shortlisted candidate, without officially disclosing the relationship.
A district administrator enforces an anti-encroachment drive on illegal commercial complexes despite heavy pressure from influential local syndicates.

Matches

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Answer

The correct matches are: (1) An officer denying relief due to technicalities pairs with Lack of Empathy; (2) A magistrate accepting artwork pairs with Breach of Probity; (3) A chairperson overseeing a relative's recruitment pairs with Conflict of Interest; (4) An administrator resisting syndicates pairs with Impartiality and Courage.
Each scenario directly illustrates either a violation of or adherence to a foundational civil service value. Denying relief on minor grounds shows apathy. Accepting gifts from interested parties breaches probity. Nepotism without disclosure is a conflict of interest. Enforcing laws against the powerful shows courage and impartiality.

Step-by-Step Solution

1
Analyze the first scenario regarding the denial of drought relief based on a technicality.
The action shows rigid adherence to procedure over the spirit of public service.
Civil servants must balance procedural rules with compassion, especially for marginalized populations.
2
Evaluate the second scenario involving the magistrate accepting a gift.
This is a clear violation of rules against accepting gratification, risking compromised judgment.
Maintaining probity means avoiding even the appearance of impropriety or bias.
3
Assess the third scenario concerning the undisclosed family relationship in recruitment.
This scenario highlights a personal interest conflicting with official duties.
Transparency and objectivity require officials to recuse themselves when relatives are involved.
4
Review the fourth scenario about enforcing anti-encroachment drives against powerful groups.
This represents a positive administrative action upholding the rule of law.
Standing firm against influential pressure groups demonstrates impartiality and courage.

Key Concept

Foundational Values of Civil Services (Integrity, Impartiality, Objectivity, Empathy, and Probity)
Question 44Question

Six friends (P, Q, R, S, T, and U) are seated in a straight line facing North. Read the following information carefully:

1. P sits third to the left of S.
2. Neither P nor S sits at the extreme ends of the line.
3. R sits to the immediate right of S.
4. T is not an immediate neighbor of P.
5. Q sits to the left of U.

Based on the final seating arrangement, match the individuals (List I) with their correct positional descriptions (List II).

Click a left item, then click its matching right item

Items

Q
U
T
S

Matches

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Answer

The final arrangement from left to right is Q, P, U, T, S, R. Therefore, Q sits at the extreme left, U sits between P and T, T sits immediately left of S, and S sits second to the right of U.
The fully deduced seating arrangement from left to right is Q, P, U, T, S, R. Matching each person to their derived positional fact yields the correct alignment without any contradictions.

Step-by-Step Solution

1
Determine the exact positions of P and S.
P is at position 2 and S is at position 5.
Since P is third to the left of S, the possible pairs for (P, S) are (1, 4), (2, 5), and (3, 6). However, neither P nor S can sit at the extreme ends (positions 1 and 6). Thus, the only valid placement is P at 2 and S at 5.
2
Place R in the arrangement.
R is at position 6.
The condition states R is to the immediate right of S. Since S is at position 5, R must take position 6.
3
Place T in the arrangement.
T is at position 4.
The remaining empty positions are 1, 3, and 4. T cannot be an immediate neighbor of P (who is at 2), meaning T cannot be at 1 or 3. Therefore, T must take position 4.
4
Place Q and U in the arrangement.
Q is at position 1 and U is at position 3.
The only remaining spots are 1 and 3. Since Q must sit to the left of U, Q takes position 1 and U takes position 3.

Key Concept

Deducing linear seating arrangements using fixed reference points and elimination.
Question 45Question

The state government is executing a 'Heritage Corridor Beautification' project that will pedestrianize a historically significant market street. As the Chief Project Officer, you are faced with conflicting demands from various interest groups. Match each stakeholder group's primary grievance to the most appropriate, proportionate administrative negotiation strategy designed to resolve their specific conflict.

Click a left item, then click its matching right item

Items

Heritage Conservation Trust (Concern: Heavy construction machinery causing irreversible structural damage to adjacent centuries-old buildings)
Local Street Vendors Association (Concern: Immediate loss of daily livelihood and displacement during the 8-month construction phase)
Emergency Services Department (Concern: Permanent restriction of rapid access for ambulances and fire engines in the proposed pedestrian-only zones)
Market Retailers Union (Concern: Permanent loss of customer footfall due to the removal of street-side parking spaces directly outside their storefronts)

Matches

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Answer

The correct matches are: Heritage Conservation Trust with real-time vibration monitoring; Street Vendors Association with phased relocation to temporary kiosks; Emergency Services Department with automated retractable bollards; and Market Retailers Union with a subsidized park-and-ride shuttle network.
Each administrative strategy directly addresses the specific root cause of the corresponding stakeholder's grievance, representing a 'win-win' negotiation approach. The solutions respect the core objective of the beautification project while accommodating the legitimate legal, economic, and safety concerns of the affected groups.

Step-by-Step Solution

1
Analyze the core grievance of the Heritage Conservation Trust.
Their concern is structural damage from heavy machinery.
Requires an administrative intervention that guarantees structural safety and builds trust through transparent oversight (real-time vibration monitoring).
2
Identify the most viable solution for the Local Street Vendors Association.
Match with phased relocation and future integration guarantees.
This strategy addresses their immediate need for daily livelihood while establishing a formal agreement for their long-term status.
3
Address the Emergency Services Department's critical operational requirement.
Match with automated retractable bollards featuring priority overrides.
This physical infrastructure solution maintains the pedestrian nature of the corridor without compromising rapid emergency response.
4
Resolve the Market Retailers Union's economic access concern.
Match with the subsidized 'park-and-ride' electric shuttle network.
This provides an alternative accessibility solution to offset the removal of adjacent street parking, sustaining customer footfall.

Key Concept

Proportionate Stakeholder Conflict Resolution
Question 46Question

Align each of the following governance dilemmas with the primary ethical or administrative priority that should dictate the officer's response.

Click a left item, then click its matching right item

Items

Intelligence indicates a riot is imminent, but conducting preventive arrests will disrupt a major, sensitive religious procession.
A batch of urgently needed, safe vaccines for an ongoing epidemic has a minor documentation error, violating strict procurement protocols.
An unauthorized settlement blocks a critical storm-water drain, posing a severe flooding risk to the city just before the monsoons.
State officials pressure a public prosecutor to withdraw a corruption case against a political ally to ensure coalition stability.

Matches

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Answer

The correct alignment pairs the riot intelligence with preemptive public order, the vaccine protocol issue with substantive public health, the storm-drain settlement with disaster mitigation, and the political pressure with prosecutorial independence.
Each dilemma requires an administrator to weigh competing interests. The correct matches identify the overriding public interest in each scenario: safety over ceremony, health over paperwork, city-wide disaster prevention over unauthorized settlements, and legal integrity over politics.

Step-by-Step Solution

1
Evaluate the riot intelligence dilemma.
The primary threat is to life and general peace.
This necessitates 'Preemptive Public Order and Security'.
2
Evaluate the vaccine protocol dilemma.
The immediate need to save lives outweighs administrative paperwork.
This aligns with 'Substantive Public Health over Procedural Rigidity'.
3
Evaluate the storm drain settlement dilemma.
The encroachment threatens the city with impending floods.
The correct priority is 'Preventive Disaster Mitigation'.
4
Evaluate the political pressure dilemma.
The integrity of the justice system is at stake.
The appropriate principle is 'Prosecutorial Independence and Neutrality'.

Key Concept

Prioritizing administrative actions based on situational ethics and the greatest public good.
Question 47Question

During the execution of a critical state infrastructure project, civil servants frequently encounter complex ethical challenges. Match the following specific administrative dilemmas faced by officials with the core governance principle that must primarily dictate their resolution.

Click a left item, then click its matching right item

Items

A District Collector observes that a marginalized indigenous community is unaware of their displacement compensation rights because the official gazette notices were published only in the state's primary language.
A Chief Engineer is heavily pressured by local elected representatives to bypass mandatory geological soil testing so a new highway bridge can be inaugurated just before the assembly elections.
A Tender Evaluation Officer realizes that the most technically robust and cost-effective bid for the highway construction involves a minor subcontractor firm owned by the officer's spouse.
A Land Settlement Officer is discreetly offered a substantial 'facilitation fee' by a large commercial real estate firm to process their land valuation claim ahead of hundreds of marginal farmers.

Matches

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Answer

The correct matching aligns the communication barrier with administrative equity, the safety testing bypass with statutory mandates, the spouse's firm with conflict of interest recusal, and the facilitation fee with financial integrity.
Each dilemma fundamentally challenges a distinct pillar of public administration. The language barrier marginalizes a vulnerable group, demanding equity. The pressure to skip safety tests threatens public welfare and the rule of law. The spouse's involvement is a direct conflict of interest requiring formal recusal. The offered fee is a bribe, testing financial integrity.

Step-by-Step Solution

1
Analyze the District Collector's dilemma regarding the indigenous community.
Identified as an issue of information asymmetry and marginalization.
When citizens cannot access their rights due to language barriers, the governing principle must be Administrative Equity and Proactive Transparency.
2
Analyze the Chief Engineer's dilemma regarding political pressure and soil testing.
Identified as a conflict between political expediency and public safety.
Administrative ethics dictate that Statutory Safety Mandates and Rule of Law must always supersede political or electoral timelines.
3
Analyze the Tender Evaluation Officer's dilemma regarding the spouse's firm.
Identified as a textbook conflict of interest.
Even if the bid is technically sound, the familial connection requires Institutional Probity through Conflict of Interest Recusal to prevent perceived or actual bias.
4
Analyze the Land Settlement Officer's dilemma regarding the 'facilitation fee'.
Identified as an attempted bribery and subversion of standard queues.
Such offers must be rejected under the principle of Absolute Financial Integrity and Impartial Public Service.

Key Concept

Situational Ethics and Administrative Dilemmas
Question 48Question

Six students—K, L, M, N, O, and P—are sitting in a straight line facing North.

1. K sits third to the right of N, and neither of them sits at the extreme ends of the line.
2. O sits to the immediate left of P.
3. P does not sit at an extreme end.
4. M sits to the right of K.

Based on the seating arrangement, match the students (Left) with their correct seating position descriptions (Right).

Click a left item, then click its matching right item

Items

Student L
Student N
Student O
Student P

Matches

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Answer

Student L sits at the extreme left end; Student N sits immediately between L and O; Student O sits third to the left of M; Student P sits exactly between O and K.
Based on the logical deduction of the constraints, the final left-to-right order is exactly: L, N, O, P, K, M. The matching pairs perfectly describe each student's relative placement in this deduced sequence.

Step-by-Step Solution

1
Determine the possible positions for N and K.
N is at position 2 and K is at position 5.
Since K is third to the right of N, the possible position pairs for (N, K) are (1,4), (2,5), and (3,6). The constraints state that neither N nor K sits at the extreme ends (1 and 6). Therefore, they must occupy positions 2 and 5.
2
Determine the position of M.
M is placed at position 6.
M sits to the right of K. Since K is at position 5, the only available seat to the right is position 6.
3
Determine the positions of O and P.
O is at position 3 and P is at position 4.
O is to the immediate left of P, requiring two adjacent empty seats. The only adjacent available seats are 3 and 4. Thus, O takes seat 3 and P takes seat 4. This also satisfies the condition that P is not at an extreme end.
4
Determine the final remaining position for L.
L is placed at position 1.
Seat 1 is the only unoccupied position remaining. The complete seating arrangement from left to right is L, N, O, P, K, M.

Key Concept

Deducing exact linear seating arrangements by anchoring fixed distance constraints and eliminating invalid positions.
Estimated Time:2m 0s
Question 49Question

Match the following administrative scenarios with the core ethical or governance principle that primarily guides the appropriate course of action.

Click a left item, then click its matching right item

Items

A civil servant refuses a wealthy industrialist's offer to fully fund a much-needed public hospital in exchange for fast-tracking an unrelated environmental clearance.
An auditor is pressured by senior departmental officials to delay the release of a report detailing financial irregularities until the upcoming state elections are concluded.
A district disaster management coordinator bypasses the standard, time-consuming competitive bidding protocols to immediately procure life-saving medicines during a sudden disease outbreak.
An administrator chooses to reform rather than abruptly suspend a rural employment scheme that has a minor leakage rate, ensuring the vast majority of dependent laborers do not face starvation.

Matches

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Answer

The scenarios match their respective governing principles as follows: The refusal of quid pro quo aligns with Probity; delaying the audit report violates Political Neutrality; bypassing procurement in emergencies uses the Doctrine of Necessity; and maintaining the welfare scheme despite minor leaks applies Utilitarianism.
Each scenario tests a specific ethical tension. Accepting community assets in exchange for regulatory favors violates probity. Delaying reports for elections violates neutrality. Bypassing financial rules to save lives is justified by the doctrine of necessity. Keeping a largely beneficial scheme despite minor flaws aligns with utilitarianism.

Step-by-Step Solution

1
Analyze the hospital funding scenario.
Identified as a conflict of interest involving a transactional favor.
Matches 'Probity in Governance and Rejection of Quid Pro Quo'.
2
Analyze the audit report delay scenario.
Identified as an attempt to manipulate public perception for electoral gain.
Matches 'Administrative Objectivity and Political Neutrality'.
3
Analyze the emergency procurement scenario.
Identified as a deviation from protocol strictly to save lives during a crisis.
Matches 'Doctrine of Necessity and Administrative Expediency'.
4
Analyze the welfare scheme continuation scenario.
Identified as a decision maximizing overall benefit despite acknowledged minor flaws.
Matches 'Utilitarianism and the Greater Public Good'.

Key Concept

Application of core administrative ethics and governance principles to practical scenarios.
Question 50Question

Match the public administration stakeholder conflict scenarios in List I with the most effective administrative negotiation strategy in List II to achieve sustainable resolution:

Click a left item, then click its matching right item

Items

Indigenous landholders protesting against a major industrial corridor project that encroaches upon designated sacred cultural sites.
Commercial shopkeepers striking against an urban municipal pedestrianization policy due to fears of immediate revenue loss during peak shopping seasons.
An inter-district agricultural water dispute where downstream farmers experience severe seasonal irrigation deficits due to upstream reservoir impoundment.
Resident Welfare Associations clashing with informal waste pickers over the proposed installation of a neighborhood decentralised composting plant.

Matches

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Answer

The correct alignment pairs indigenous landholder protests with integrative spatial realignment, commercial shopkeeper strikes with compensatory phasing and operational concessions, inter-district water disputes with institutional mediation and formula-based volumetric release, and resident-waste picker clashes with participatory co-management and livelihood formalization.
The solution accurately pairs each administrative dilemma with its optimal negotiation mechanism. Indigenous cultural site conflicts demand integrative realignment protecting core heritage values. Commercial strikes require financial and logistical phasing to bridge transition periods. Water rights disputes necessitate objective, data-driven institutional monitoring. Urban civic clashes are resolved by empowering marginalized workers through formalization and consensus-building.

Step-by-Step Solution

1
Analyze the core underlying driver for each stakeholder conflict scenario in List I.
Identified four distinct conflict drivers: non-negotiable cultural/identity values, short-term economic/logistical disruption, zero-sum resource scarcity, and social exclusion combined with localized environmental opposition.
Effective conflict resolution requires matching administrative strategies to the primary nature of the underlying stakeholder interest.
2
Evaluate the administrative options in List II against principled negotiation frameworks.
Matched non-negotiable identity concerns to boundary realignment; commercial disruption to economic phasing; water scarcity to objective formulaic governance; and social friction to participatory formalization.
Administrative decisions must balance public welfare, stakeholder rights, proportionality, and long-term policy feasibility.
3
Verify pair compatibility against administrative law and civil service conduct standards.
All four matched strategies resolve deadlocks through collaborative, constitutionally sound, and non-coercive mediation processes.
Avoids administrative pitfalls like unilateral enforcement, passive procrastination, or excessive deference to vocal interest groups.

Key Concept

Stakeholder Conflict Resolution and Negotiation Strategy
Question 51Question

Match each autonomous robotic surveyor (P, Q, R, S) executing a multi-step navigation sequence with its exact shortest straight-line displacement from its initial starting point.

Click a left item, then click its matching right item

Items

Robotic Surveyor P: Starts facing North, walks 15 m15\text{ m}, turns 135135^\circ clockwise and walks 102 m10\sqrt{2}\text{ m}, then turns 9090^\circ right and walks 52 m5\sqrt{2}\text{ m}, and finally turns North and walks 12 m12\text{ m}.
Robotic Surveyor Q: Starts facing East, walks 20 m20\text{ m}, turns 135135^\circ counter-clockwise and walks 82 m8\sqrt{2}\text{ m}, then turns 4545^\circ clockwise and walks 7 m7\text{ m}, and finally turns South and walks 6 m6\text{ m}.
Robotic Surveyor R: Starts facing West, walks 10 m10\text{ m}, turns 4545^\circ counter-clockwise and walks 62 m6\sqrt{2}\text{ m}, and finally turns 135135^\circ clockwise and walks 18 m18\text{ m}.
Robotic Surveyor S: Positioned at sunrise facing its own shadow, turns 9090^\circ right and walks 10 m10\text{ m}, then turns 4545^\circ right and walks 72 m7\sqrt{2}\text{ m}, and finally turns North and walks 7 m7\text{ m}.

Matches

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Answer

The correct matching pairs are: Robotic Surveyor P matches with 13 m13\text{ m}, Robotic Surveyor Q matches with 15 m15\text{ m}, Robotic Surveyor R matches with 20 m20\text{ m}, and Robotic Surveyor S matches with 25 m25\text{ m}.
Each robotic surveyor's final position is determined by establishing a Cartesian coordinate system with the starting point at (0,0)(0,0). By breaking each movement into orthogonal components (x,y)(x, y) using trigonometry for diagonal movements (45,13545^\circ, 135^\circ) and applying the Pythagorean theorem d=x2+y2d = \sqrt{x^2 + y^2}, we obtain exact straight-line displacements of 13 m13\text{ m} for P, 15 m15\text{ m} for Q, 20 m20\text{ m} for R, and 25 m25\text{ m} for S.

Step-by-Step Solution

1
Calculate displacement coordinates for Robotic Surveyor P
Path vector components:
1. 15 m15\text{ m} North: (0,15)(0, 15)
2. Turn 135135^\circ CW (facing SE), walk 102 m10\sqrt{2}\text{ m}: Δx=102sin(135)=10\Delta x = 10\sqrt{2}\sin(135^\circ) = 10, Δy=102cos(135)=10    (10,5)\Delta y = 10\sqrt{2}\cos(135^\circ) = -10 \implies (10, 5)
3. Turn 9090^\circ right (facing SW), walk 52 m5\sqrt{2}\text{ m}: Δx=5\Delta x = -5, Δy=5    (5,0)\Delta y = -5 \implies (5, 0)
4. Walk 12 m12\text{ m} North: Δx=0\Delta x = 0, Δy=12    (5,12)\Delta y = 12 \implies (5, 12)
Final distance: d=52+122=25+144=13 md = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = 13\text{ m}.
Decomposing vectors into xx (East) and yy (North) components allows precise tracking of position.
2
Calculate displacement coordinates for Robotic Surveyor Q
Path vector components:
1. 20 m20\text{ m} East: (20,0)(20, 0)
2. Turn 135135^\circ CCW (facing NW), walk 82 m8\sqrt{2}\text{ m}: Δx=8\Delta x = -8, Δy=8    (12,8)\Delta y = 8 \implies (12, 8)
3. Turn 4545^\circ CW (facing North), walk 7 m7\text{ m}: Δx=0\Delta x = 0, Δy=7    (12,15)\Delta y = 7 \implies (12, 15)
4. Walk 6 m6\text{ m} South: Δx=0\Delta x = 0, Δy=6    (12,9)\Delta y = -6 \implies (12, 9)
Final distance: d=122+92=144+81=15 md = \sqrt{12^2 + 9^2} = \sqrt{144 + 81} = 15\text{ m}.
Using trigonometry and coordinate tracking ensures correct evaluation of net displacement.
3
Calculate displacement coordinates for Robotic Surveyor R
Path vector components:
1. 10 m10\text{ m} West: (10,0)(-10, 0)
2. Turn 4545^\circ CCW (facing SW), walk 62 m6\sqrt{2}\text{ m}: Δx=6\Delta x = -6, Δy=6    (16,6)\Delta y = -6 \implies (-16, -6)
3. Turn 135135^\circ CW from SW (facing North), walk 18 m18\text{ m}: Δx=0\Delta x = 0, Δy=18    (16,12)\Delta y = 18 \implies (-16, 12)
Final distance: d=(16)2+122=256+144=20 md = \sqrt{(-16)^2 + 12^2} = \sqrt{256 + 144} = 20\text{ m}.
Angular rotations must be measured relative to the current heading, not absolute cardinal directions.
4
Determine initial orientation and calculate displacement for Robotic Surveyor S
At sunrise, the Sun is in the East, so shadows fall toward the West. Facing its own shadow means S initially faces West.
1. Turn 9090^\circ right (facing North), walk 10 m10\text{ m}: (0,10)(0, 10)
2. Turn 4545^\circ right (facing NE), walk 72 m7\sqrt{2}\text{ m}: Δx=7\Delta x = 7, Δy=7    (7,17)\Delta y = 7 \implies (7, 17)
3. Turn North, walk 7 m7\text{ m}: Δx=0\Delta x = 0, Δy=7    (7,24)\Delta y = 7 \implies (7, 24)
Final distance: d=72+242=49+576=25 md = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = 25\text{ m}.
Shadow orientation establishes the initial cardinal direction from which relative turns are executed.

Key Concept

Vector Displacement, Angular Rotation, and Shadow Orientation
Question 52Question

Read the following family scenario carefully and match each person in Column I with their exact relationship to BB listed in Column II.

Scenario:
In a family of six members—A,B,C,D,E,A, B, C, D, E, and FF—spanning three generations:
- DD is married to FF, and AA is the father of DD.
- CC is the mother-in-law of FF and has only one child.
- EE is the daughter of FF, and BB is the sibling of EE.

Click a left item, then click its matching right item

Items

AA
CC
DD
EE

Matches

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Answer

The correct matches are: AA matches with Paternal Grandfather, CC matches with Paternal Grandmother, DD matches with Father, and EE matches with Sister.
By analyzing the three-generation structure: AA (male) and CC (female) are married parents of DD (male). DD is married to FF (female). Their children are EE (female) and BB. Therefore, with respect to BB: AA is the paternal grandfather, CC is the paternal grandmother, DD is the father, and EE is the sister.

Step-by-Step Solution

1
Determine the parental generation relationships
AA is the father of DD. CC is the mother-in-law of FF, who is married to DD, which means CC is the mother of DD.
The mother-in-law of a spouse is the mother of the other spouse.
2
Identify the genders and marital tie of the middle generation
DD (male) and FF (female) are married to each other. DD is the only child of AA and CC.
AA is father and CC is mother of DD, making DD their male child.
3
Determine the third generation relationships
EE (female) and BB are children of DD and FF. EE is the sister of BB.
EE is the daughter of FF and sibling of BB.
4
Deduce each person's relationship to BB
AA is paternal grandfather, CC is paternal grandmother, DD is father, and EE is sister.
Tracing lineage through BB's father DD yields paternal grandparents AA and CC, father DD, and sister EE.

Key Concept

Multi-generational blood relation tree deduction and kinship mapping
Estimated Time:1m 30s
Question 53Question

Match the national governance initiatives and digital platforms with their primary functional mandates:

Click a left item, then click its matching right item

Items

BHASHINI
PM-PRANAM
MY Bharat (Mera Yuva Bharat)
SATHI Portal

Matches

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Answer

BHASHINI pairs with providing an AI-driven open-source ecosystem for language translation; PM-PRANAM pairs with incentivizing the balanced use of chemical fertilizers; MY Bharat pairs with facilitating a technology-driven unified platform for youth development; SATHI Portal pairs with ensuring centralized seed certification, quality authentication, and supply-chain traceability.
Each national initiative is accurately matched to its core sectoral objective: BHASHINI provides AI language models for Indian languages; PM-PRANAM addresses soil nourishment by rationalizing chemical fertilizer subsidies; MY Bharat facilitates youth-led governance and skill engagement; and SATHI secures seed verification and distribution tracking.

Step-by-Step Solution

1
Identify the mandate of the digital language platform BHASHINI
BHASHINI corresponds to building AI-based digital infrastructure for multilingual translation across Indian languages.
The National Language Translation Mission (BHASHINI) was launched to make digital services accessible in local Indian languages.
2
Identify the objective of the agricultural scheme PM-PRANAM
PM-PRANAM corresponds to promoting alternative fertilizers and reducing excessive chemical fertilizer usage.
The scheme saves fiscal subsidy outlays to reward states that demonstrate reductions in chemical fertilizer consumption.
3
Identify the institutional framework of MY Bharat
MY Bharat corresponds to youth empowerment, leadership development, and civic engagement.
Established under the Ministry of Youth Affairs and Sports, it acts as a digital bridge between youth and government initiatives.
4
Identify the core feature of the SATHI Portal
SATHI Portal corresponds to seed authentication and holistic inventory tracking.
Developed by the Ministry of Agriculture & Farmers Welfare, SATHI enforces quality seed certification via QR code tracking from breeder to farmer.

Key Concept

Key functional mandates and operational objectives of flagship national governance initiatives, acts, and digital portals
Estimated Time:1m 0s
Question 54Question

Match each administrative scenario described in Column I with the corresponding primary administrative ethical principle in Column II.

Click a left item, then click its matching right item

Items

An official receives pressure from an influential political figure to approve an illegal license application.
An administrator gains non-public information about upcoming municipal rezoning and refrains from purchasing property in that area.
A district officer ensures emergency drinking water is distributed strictly on the basis of severity of need during a drought, without favoring any specific community.

Matches

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Answer

Resisting political pressure to grant illegal approvals matches with Political Neutrality and Integrity; refraining from using confidential official information for personal gain matches with Avoidance of Conflict of Interest; and distributing relief resources based strictly on objective vulnerability matches with Impartiality and Equity in Service Delivery.
Each scenario illustrates a fundamental ethical duty of a public servant: upholding legal rules against political pressure demonstrates Political Neutrality and Integrity; avoiding personal profit from official information demonstrates Avoidance of Conflict of Interest; and objective, non-discriminatory aid allocation demonstrates Impartiality and Equity in Service Delivery.

Step-by-Step Solution

1
Analyze the first scenario regarding political pressure.
Refusing to yield to political pressure to violate rules corresponds to maintaining Political Neutrality and Integrity.
Public servants are bound by rule of law and statutory regulations, not informal political influence.
2
Analyze the second scenario regarding insider knowledge.
Abstaining from personal financial gain based on non-public official information corresponds to Avoidance of Conflict of Interest.
Official positions and information must not be exploited for private benefit.
3
Analyze the third scenario regarding emergency resource distribution.
Allocating critical relief supplies based purely on need corresponds to Impartiality and Equity in Service Delivery.
Administrative decisions during public crises must remain non-discriminatory and fair.

Key Concept

Foundational Principles of Administrative Ethics
Question 55Question

Match the flagship state government welfare schemes in List-I with their corresponding primary policy objectives and target sectors in List-II:

Click a left item, then click its matching right item

Items

Indira Gandhi Shehri Rozgar Guarantee Yojana (Rajasthan)
Mukhyamantri Bal Ashirwad Yojana (Madhya Pradesh)
Rythu Bandhu Scheme (Telangana)
Mukhyamantri Vridhjan Pension Yojana (Bihar)

Matches

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Answer

Indira Gandhi Shehri Rozgar Guarantee Yojana matches with guaranteed urban wage employment; Mukhyamantri Bal Ashirwad Yojana matches with financial and educational support for institutional orphans; Rythu Bandhu Scheme matches with direct agricultural input investment support per acre; and Mukhyamantri Vridhjan Pension Yojana matches with universal monthly social security pension for senior citizens aged 60 and above.
Each scheme is accurately mapped to its core sector: Rajasthan's Indira Gandhi Shehri Rozgar Guarantee Yojana provides urban livelihood security through guaranteed manual and skilled wage work; Madhya Pradesh's Mukhyamantri Bal Ashirwad Yojana targets aftercare welfare for young adults leaving childcare institutions; Telangana's Rythu Bandhu delivers direct farmer investment assistance per acre per season; and Bihar's Mukhyamantri Vridhjan Pension Yojana provides universal social security to senior citizens aged 60 and above.

Step-by-Step Solution

1
Analyze the mandate of Rajasthan's urban welfare policy
Identify Indira Gandhi Shehri Rozgar Guarantee Yojana as the urban counterpart to rural employment guarantees, providing 125 days of wage work to urban families.
Urban employment schemes focus on creating urban community assets and providing livelihood security in municipal areas.
2
Evaluate Madhya Pradesh's child rehabilitation and aftercare welfare policy
Identify Mukhyamantri Bal Ashirwad Yojana as the aftercare financial aid and skill rehabilitation program for orphan youths leaving child care homes at age 18.
Child welfare policies provide transitional security from foster/institutional care to independent adult living.
3
Examine Telangana's agrarian welfare architecture
Identify Rythu Bandhu as the direct benefit transfer mechanism providing crop investment aid per acre per crop season.
Agricultural investment policies aim to free small and marginal farmers from informal debt traps.
4
Review Bihar's social safety net for elderly citizens
Identify Mukhyamantri Vridhjan Pension Yojana as a universal non-contributory pension scheme for individuals aged 60 and above.
Universal old-age pension schemes eliminate strict BPL category exclusions to provide dignified elderly support.

Key Concept

State Government Schemes and Welfare Policies
Estimated Time:1m 15s
Question 56Question

Match each word pair in List I with the word pair in List II that exhibits the identical semantic and logical relationship.

Click a left item, then click its matching right item

Items

Amnesia : Memory
Connoisseur : Art
Mendacity : Truth
Teetotaler : Alcohol

Matches

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Answer

Amnesia : Memory pairs with Insomnia : Sleep; Connoisseur : Art pairs with Gourmet : Food; Mendacity : Truth pairs with Cowardice : Courage; Teetotaler : Alcohol pairs with Pacifist : War.
The correct pairings align identical logical relationships across different subjects: medical conditions defined by loss (Amnesia/Insomnia), experts in a domain of taste (Connoisseur/Gourmet), vices defined by the absence of a virtue (Mendacity/Cowardice), and individuals defined by abstention (Teetotaler/Pacifist).

Step-by-Step Solution

1
Analyze the semantic relationship of the first item in List I (Amnesia : Memory).
Identified the relationship as 'Condition : Faculty that is lost'.
Finding the exact structural relationship is necessary to find its analogical match.
2
Scan List II for a pair with the identical 'Condition : Faculty lost' relationship.
Matched with 'Insomnia : Sleep', as insomnia is the loss of sleep.
This establishes the first correct analogical pairing.
3
Determine the structural relationships for the remaining items in List I and map them to their equivalents in List II.
Connoisseur evaluates Art (matches Gourmet evaluating Food). Mendacity lacks Truth (matches Cowardice lacking Courage). Teetotaler abstains from Alcohol (matches Pacifist abstaining from War).
Solving complex word analogies requires isolating identical logical structures across completely different semantic topics.

Key Concept

Semantic Word Analogies and Abstract Relationships
Question 57Question

Read the following information carefully about a family of six members: P, Q, R, S, T, and U.

• There are two married couples in the family across three generations.
• Q is a doctor and the father of T.
• U is a contractor and the paternal grandfather of R.
• S is a housewife and the paternal grandmother of T.
• The professions in the family are: one doctor, one contractor, one nurse, one housewife, and two students.
• The nurse is the wife of the doctor.
• R is the sister of T.

Determine the identity and position of each family member, then match the individuals on the left with their exact relationship to P.

Click a left item, then click its matching right item

Items

Q
U
S
R

Matches

Show answer & explanation

Answer

Q is the Husband, U is the Father-in-law, S is the Mother-in-law, and R is the Daughter of P.
Based on the generational breakdown, P is the mother in the second generation. Therefore, her spouse Q is her Husband, her spouse's father U is her Father-in-law, her spouse's mother S is her Mother-in-law, and her female child R is her Daughter.

Step-by-Step Solution

1
Identify the first-generation couple based on the grandparents' clues.
U (paternal grandfather) and S (paternal grandmother) are married to each other.
Since there are two married couples and they are described as paternal grandparents of the children, they form the oldest generation couple.
2
Identify the second-generation parents and their professions.
Q is the doctor and the father. He is married to P, who must be the nurse.
Q is explicitly stated as the father of T. The nurse is the wife of the doctor. Since P is the only unassigned adult, P must be the nurse and Q's wife.
3
Identify the third-generation children and their genders.
R and T are the children of Q and P. R is female (sister of T).
Both are grandchildren of U and S, and children of Q. R is stated to be the sister, establishing her gender as female.
4
Determine the exact relationship of Q, U, S, and R to P.
Q is P's husband; U is Q's father (P's father-in-law); S is Q's mother (P's mother-in-law); R is P's daughter.
Mapping the family tree directly to P yields these specific relationships.

Key Concept

Multi-generational family tree deduction and mapping relationships to a specific unstated family member.
Question 58Question

A large solid cube of dimensions 5×5×55 \times 5 \times 5 is painted using three colors: Red, Blue, and Green. The painting is applied such that the Top and Bottom faces are Red, the Front and Right faces are Blue, and the Back and Left faces are Green. The large cube is then cut into 125 smaller, identical cubes of dimensions 1×1×11 \times 1 \times 1. Match the categories of the smaller cubes described in List I with their exact counts in List II.

Click a left item, then click its matching right item

Items

Cubes with exactly three faces painted, displaying three different colors
Cubes with exactly two faces painted, both displaying the same color
Cubes with exactly one face painted Blue
Cubes with no faces painted at all

Matches

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Answer

The correct matches are: Cubes with three different colors to 4; Cubes with two faces of the same color to 6; Cubes with one face Blue to 18; Cubes with no painted faces to 27.
The exact structural breakdown of the 5x5x5 cube under this specific adjacent-face coloring scheme yields exactly 4 three-color corners, 6 two-color edges (from 2 identical color intersections), 18 one-color blue face centers, and a 27-cube unpainted core.

Step-by-Step Solution

1
Analyze the corner cubes (exactly 3 faces painted) to match the first category.
There are 8 corners. Top-Front-Left is Red-Blue-Green (3 colors). Top-Front-Right is Red-Blue-Blue (2 colors). Analyzing all 8 corners yields exactly 4 corners that touch three different colors.
Because Front/Right are both Blue and Back/Left are both Green, corners sharing these adjacent identical faces will not have three different colors.
2
Analyze the edge cubes (exactly 2 faces painted) to match the second category.
There are 12 edges, each containing (5-2) = 3 cubes with exactly two painted faces. The condition requires both faces to be the same color. This only happens on the Front-Right edge (Blue-Blue) and Back-Left edge (Green-Green). Thus, 2 edges × 3 cubes = 6 cubes.
Edges represent the intersection of two faces. Only adjacent faces painted with the same color produce these specific cubes.
3
Analyze the face center cubes (exactly 1 face painted) to match the third category.
Each of the 6 faces has a central grid of (5-2)² = 9 cubes that have exactly one face painted. Since exactly 2 faces are painted Blue (Front and Right), there are 2 × 9 = 18 such cubes.
This singles out the purely Blue surface area minus edges and corners.
4
Calculate the completely unpainted inner core cubes to match the fourth category.
The unpainted inner volume is a smaller cube of dimensions (5-2) × (5-2) × (5-2) = 3³ = 27 cubes.
Removing the outer layer (1 cube thick) from all 6 sides leaves the unpainted core.

Key Concept

Advanced visualization of 3D spatial properties, edge intersections, and non-standard coloring rules on a subdivided cube.
Question 59Question

Match the clean and renewable energy technologies in List-I with their corresponding fundamental operational principles or key structural features in List-II:

Click a left item, then click its matching right item

Items

Pyrolysis (Thermochemical Conversion)
Solar Power Tower (CSP)
Proton Exchange Membrane Fuel Cell (PEMFC)
Oscillating Water Column (OWC)

Matches

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Answer

Pyrolysis matches thermal decomposition of biomass without oxygen; Solar Power Tower matches heliostats focusing sunlight onto a central molten salt receiver; Proton Exchange Membrane Fuel Cell matches electrochemical reaction across a solid polymer membrane at low temperature; Oscillating Water Column matches trapped air driving a bidirectional Wells turbine.
Each clean energy technology is correctly paired with its defining operational principle: Pyrolysis corresponds to anaerobic thermal decomposition of organic biomass; Solar Power Tower corresponds to heliostat sun-tracking concentrating solar rays onto a central molten salt receiver; PEMFC corresponds to low-temperature electrochemical conversion across a solid polymer membrane; and Oscillating Water Column corresponds to ocean wave pneumatic pressure driving a Wells turbine.

Step-by-Step Solution

1
Analyze Pyrolysis (Thermochemical Conversion)
Pyrolysis is defined by high-heat biomass breakdown under oxygen-deprived conditions to generate bio-char, bio-oil, and combustible gas mixtures.
Differentiates thermochemical pyrolysis from gasification (partial oxidation) or anaerobic digestion (biological breakdown).
2
Analyze Solar Power Tower (Concentrated Solar Power)
Solar towers utilize fields of dual-axis tracking mirrors called heliostats to concentrate sunlight onto an elevated central thermal receiver.
Distinguishes point-focus power towers from line-focus parabolic trough solar collector systems.
3
Analyze Proton Exchange Membrane Fuel Cell (PEMFC)
PEMFC technology utilizes a solid polymer membrane electrolyte operating under low-temperature conditions (60C80C60^\circ\text{C}-80^\circ\text{C}) to convert hydrogen and oxygen into electricity.
Distinguishes polymer membrane cells from high-temperature Solid Oxide Fuel Cells (SOFC) or Molten Carbonate Fuel Cells (MCFC).
4
Analyze Oscillating Water Column (OWC)
OWC devices capture wave energy by compressing an enclosed air column to rotate a self-rectifying Wells turbine.
Distinguishes wave-action OWC devices from tidal barrages or ocean thermal energy conversion (OTEC) systems.

Key Concept

Working principles and technological classifications of renewable energy systems and clean technology devices
Question 60Question

Match the following State Constitutional Bodies and Authorities (List-I) with their corresponding Constitutional Articles (List-II).

Click a left item, then click its matching right item

Items

Advocate General for the State
State Finance Commission
State Public Service Commission
Duties of Chief Minister to furnish information to Governor

Matches

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Answer

The correct pairings are: Advocate General for the State matches with Article 165; State Finance Commission matches with Article 243-I; State Public Service Commission matches with Article 315; and Duties of Chief Minister to furnish information to Governor matches with Article 167.
Each item in List-I corresponds directly to its constitutional Article in List-II: the Advocate General for the State is appointed under Article 165, the State Finance Commission is constituted under Article 243-I, Public Service Commissions for the States are established under Article 315, and the constitutional duties of the Chief Minister relative to the Governor are detailed under Article 167.

Step-by-Step Solution

1
Match Advocate General for the State with its constitutional provision.
Advocate General for the State pairs with Article 165.
Article 165 specifies the appointment, qualifications, and duties of the Advocate General for the State.
2
Match State Finance Commission with its constitutional provision.
State Finance Commission pairs with Article 243-I.
Article 243-I specifies the constitution and function of the State Finance Commission.
3
Match State Public Service Commission with its constitutional provision.
State Public Service Commission pairs with Article 315.
Article 315 establishes Public Service Commissions at the Union and State levels.
4
Match Duties of Chief Minister to furnish information to Governor with its constitutional provision.
Duties of Chief Minister pairs with Article 167.
Article 167 outlines the Chief Minister's administrative obligations toward the Governor.

Key Concept

Constitutional Provisions governing State Polity and Administrative Authorities
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