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Question 121Question →

The Government of India Act of 1935 established a three-fold distribution of legislative powers between the Centre and the units through Federal, Provincial, and Concurrent Lists. Under this statutory arrangement, in whom were the residuary powers of legislation explicitly vested?

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Answer: Governor-General of India

Answer

Governor-General of India
The Government of India Act of 1935 introduced a three-fold enumeration of legislative subjects into Federal, Provincial, and Concurrent Lists. Unlike the modern Indian Constitution, which grants residuary powers to the Union Parliament (Article 248), Section 104 of the 1935 Act vested the Governor-General of India with the personal discretion to assign any unenumerated subject to either the central or provincial legislatures.

Step-by-Step Solution

1
Analyze the division of legislative powers under the Government of India Act of 1935.
The Act created three detailed legislative lists: Federal List, Provincial List, and Concurrent List.
To distribute legislative jurisdiction between the central government and the provinces.
2
Identify the statutory authority holding residuary legislative powers under the 1935 Act.
Residuary powers were neither automatically given to the central legislature nor to the provincial legislatures.
Section 104 vested the Governor-General with discretionary authority to empower either legislature to enact laws on subjects not enumerated in any list.

Key Concept

Allocation of Residuary Legislative Powers under the Government of India Act of 1935
Estimated Time:1m 0s
Question 122Question →

Four corporate managers—K, L, M, and N—are assigned to four different regional offices: North, South, East, and West. Additionally, each manager specializes in exactly one distinct sector: Finance, HR, Marketing, and Operations. Read the following operational conditions carefully:

1. The manager assigned to the North office specializes in Finance.
2. L specializes in Marketing but is neither assigned to the East nor the West office.
3. N is assigned to the West office but does not specialize in Operations.
4. K is not assigned to the East office.

Based on these conditions, match each manager with their correct specialization sector.

Click a left item, then click its matching right item

Items

Manager K
Manager L
Manager M
Manager N

Matches

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Answer

Manager K matches with Finance, Manager L matches with Marketing, Manager M matches with Operations, and Manager N matches with HR.
By cross-referencing office locations with specializations, we logically deduce the grid: K (North, Finance), L (South, Marketing), M (East, Operations), and N (West, HR).

Step-by-Step Solution

1
Determine L's office assignment.
L is assigned to the South office.
L specializes in Marketing, so L cannot be in the North office (which is reserved for Finance). Given L is also not in the East or West offices, the only remaining option is the South office.
2
Determine K and M's office assignments.
K is assigned to the North office and M is assigned to the East office.
N is assigned to the West office, leaving North and East open. Since condition 4 states K is not in the East, K must take the North office. M is left with the East office.
3
Determine K's specialization.
K specializes in Finance.
K is in the North office, and condition 1 states the North office manager specializes in Finance.
4
Determine N and M's specializations.
N specializes in HR and M specializes in Operations.
The remaining specializations are HR and Operations. Condition 3 states N (West office) does not specialize in Operations. Therefore, N must specialize in HR, leaving Operations for M.

Key Concept

Analytical Matrix Deductions
Estimated Time:2m 0s
Question 123Question →

As the District Magistrate of a communally sensitive urban district, you are managing a rapidly escalating riot sparked by an inflammatory social media post. The local police force is heavily outnumbered and struggling to maintain barricades at a critical intersection. Amidst the chaos, a prominent local business leader approaches you and offers to deploy his armed private security personnel to assist the police in restoring order, provided you grant them immediate, undocumented operational authority. He argues that waiting for the sanctioned Central Armed Police Forces (CAPF) will result in widespread arson and civilian casualties. Which of the following is the most appropriate and legally sound administrative course of action to manage this crisis?

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Answer: Decline the offer of private security deployment as it violates statutory law, immediately enforce strict prohibitory assembly orders, strategically redeploy existing police reserves to protect the most vulnerable assets, and expedite the arrival of sanctioned central forces.

Answer

Decline the offer of private security deployment as it violates statutory law, immediately enforce strict prohibitory assembly orders, strategically redeploy existing police reserves to protect the most vulnerable assets, and expedite the arrival of sanctioned central forces.
The correct answer upholds the rule of law and statutory protocols. A District Magistrate cannot outsource law and order functions to unaccountable, armed private entities, regardless of the crisis severity. Enforcing prohibitory orders and optimizing available sanctioned forces while expediting official reinforcements is the only legally and administratively sound approach.

Step-by-Step Solution

1
Analyze the legality of the proposed intervention.
Deploying an undocumented, armed private militia violates the state's monopoly on the use of force and established statutory laws.
Administrative decisions must remain strictly within the bounds of the law, even during severe crises.
2
Assess the immediate operational alternatives available to the administration.
The administration can enforce prohibitory orders and optimize the deployment of existing police resources at critical chokepoints.
Maximizing the efficiency of legally sanctioned resources is the primary tool for containment before external reinforcements arrive.
3
Select the most appropriate administrative action balancing urgency with legality.
Maintain legal integrity by refusing the private force and utilizing statutory emergency measures to contain the situation while expediting CAPF arrival.
Bypassing protocols with armed private citizens introduces massive liability and risks escalating the riots further.

Key Concept

Maintaining statutory integrity and avoiding unauthorized delegations of state power during emergency civil unrest scenarios.
Estimated Time:1m 30s
Question 124Question →

A severe municipal water shortage prompted the regional administration to sanction a critical coastal desalinization plant. However, the designated site borders a sensitive mangrove ecosystem. A coalition of traditional fishers and environmental activists has physically occupied the construction zone, halting all operations. The lead contractor demands immediate site clearance, citing escalating daily financial losses and the urgent public mandate for water supply. Conversely, the activist coalition refuses any negotiations unless the project is permanently relocated. Which of the following represents the most legally sound and proportional initial negotiation strategy to de-escalate this standoff?

Show answer & explanation

Answer: Establish a structured fact-finding committee comprising environmental experts, contractor representatives, and coalition leaders to delineate the exact ecological impact, while securing a temporary, mutually agreed moratorium on both construction activities and protests.

Answer

The strategy that establishes a structured fact-finding committee with all stakeholders while securing a temporary moratorium.
This approach embodies procedural justice and proportional response. By involving all parties in an evidence-based fact-finding process and securing a dual moratorium, the administrator neutralizes the immediate physical confrontation without pre-judging the outcome, using force, or violating statutory frameworks.

Step-by-Step Solution

1
Analyze the competing interests and the nature of the deadlock.
The contractor possesses a legal mandate and addresses a public need, while the activists are defending ecological and livelihood concerns through physical occupation.
Understanding the baseline positions and the volatility of the situation is essential before formulating an administrative negotiation strategy.
2
Evaluate the administrative boundaries and constitutional norms regarding conflict resolution.
Unilateral capitulation (bypassing laws) and extreme aggression (riot police/ultimatums) both violate the principles of proportional administrative justice.
A legal and ethical framework must constrain the chosen resolution method to ensure long-term stability and compliance.
3
Identify the optimal de-escalation mechanism.
A multi-stakeholder fact-finding committee paired with a mutual standstill agreement creates a neutral platform for dialogue.
This approach successfully transitions the conflict from an emotionally charged physical standoff to an evidence-based, procedural negotiation.

Key Concept

Proportional Conflict De-escalation and Multi-Stakeholder Mediation
Question 125Question →

A Block Development Officer (BDO) is facilitating a negotiation between two village panchayats regarding the allocation of water from a newly constructed shared reservoir. Historical mistrust has led to a breakdown in communication, with both sides adopting rigid and combative stances.

Which of the following strategies represent the effective application of integrative negotiation and constructive group dynamics by the BDO? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Reframing the negotiation focus from competing over fixed water volume quotas to exploring mutual goals for increasing overall agricultural output.; Establishing structured speaking protocols that allow both parties to articulate their underlying concerns without interruption before any technical bargaining begins.

Answer

The correct strategies involve reframing the focus toward mutual goals (integrative negotiation) and establishing structured speaking protocols to allow concerns to be voiced without interruption.
The correct strategies actively dismantle the barriers to agreement. Shifting the focus from a fixed resource to shared goals creates a collaborative environment (integrative negotiation). Implementing structured speaking protocols ensures all parties feel heard, reducing hostility and stabilizing group dynamics.

Step-by-Step Solution

1
Analyze the administrative scenario and the root cause of the deadlock.
The deadlock is caused by historical mistrust, rigid positional stances, and a breakdown in respectful communication.
Understanding the barriers is necessary to select appropriate group dynamics interventions.
2
Evaluate the options against principles of integrative negotiation.
Reframing the dispute from 'fixed water quotas' to 'agricultural output' successfully shifts the paradigm from distributive (win-lose) to integrative (win-win) bargaining.
Integrative negotiation requires finding shared interests beyond surface-level demands.
3
Evaluate the options against principles of constructive group dynamics.
Structured speaking protocols foster active listening and de-escalate tension, whereas unilateral enforcement or shouting down participants destroys group cohesion.
Effective facilitators must maintain authority assertively, not aggressively, while guiding the group toward consensus.

Key Concept

Integrative Negotiation and Constructive Conflict Facilitation
Estimated Time:1m 30s
Question 126Question →

The State Education Board has recently issued the following mandate to all affiliated institutions:

'Starting from the upcoming academic session, every primary school is required to allocate the first 30 minutes of the daily schedule strictly for physical mindfulness routines. This measure is introduced with the objective of enhancing overall student concentration and classroom discipline.'

Based on this mandate, which of the underlying assumptions are implicit? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Physical mindfulness routines yield a positive effect on student concentration and classroom discipline.; Primary school students possess the required capability to participate in mindfulness routines for 30 consecutive minutes.

Answer

The implicit assumptions are that physical mindfulness routines positively impact concentration and discipline, and that primary school students have the capacity to sustain these routines for 30 minutes.
An assumption is an unstated premise that must be true for a statement's logic to hold. For the mandate to rationally aim at improving concentration and discipline through mindfulness routines, the Board must assume these routines actually produce that positive impact. Furthermore, by mandating a strict 30-minute duration for primary students, the authorities inherently assume that students of this young demographic are physically and mentally capable of sustaining the activity for that length of time. Without both premises, the initiative would be illogical and unfeasible.

Step-by-Step Solution

1
Analyze the action and the stated objective in the mandate.
Action: Mandating 30 minutes of physical mindfulness. Objective: Enhancing concentration and discipline.
Identifying the core components of the statement is necessary to extract what must be true for the statement to be logical.
2
Evaluate the cause-and-effect assumption required for the policy.
The Board must assume the action will lead to the objective. Therefore, it is assumed that mindfulness routines positively affect concentration and discipline.
If this were not assumed, introducing the measure to achieve the stated goal would be irrational.
3
Evaluate the feasibility assumption required for the policy.
The Board must assume that the specific target audience (primary students) can successfully perform the mandated task for the given duration (30 minutes).
A mandate is logically built on the premise that it can actually be executed by the subjects it governs.
4
Eliminate distractors that state extreme causal relationships or rely on external comparative facts.
Options claiming mindfulness is the 'fundamental reason' for poor discipline or comparing different school types are rejected as they are not logically required for the mandate to stand.
Implicit assumptions must be strictly necessary for the statement, not just plausible inferences or external truths.

Key Concept

Evaluating Implicit Assumptions in Policy Mandates
Estimated Time:1m 30s
Question 127Question →

Statement: A sudden outbreak of a highly contagious, though non-lethal, viral fever has been reported in three densely populated residential colonies of the city. This has led to a massive surge in patient numbers, severely overwhelming the local primary health centers.

Which of the following proposed courses of action logically follow and should be implemented by the administration? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: The municipal health department should immediately deploy mobile medical units to the affected colonies to triage patients and distribute symptomatic medications.; The health department should launch a targeted public awareness campaign detailing preventive hygiene measures and guidelines on when hospital care is actually required.

Answer

The administration should deploy mobile medical units for triage and launch a public awareness campaign on prevention and hospital visit guidelines.
The correct actions represent a balanced, multi-pronged approach. Deploying mobile units provides immediate relief to the overwhelmed health centers by treating minor cases locally, while the awareness campaign offers a long-term preventive measure to lower infection rates and reduce panic-driven hospital visits. Both actions are highly feasible, proportional to a non-lethal outbreak, and directly address the stated problems.

Step-by-Step Solution

1
Analyze the core problem presented in the statement.
The problem has two main components: a contagious but non-lethal disease outbreak, and the resulting severe overcrowding of local primary health centers.
Identifying the specific parameters of the crisis is necessary to determine proportional and relevant administrative responses.
2
Evaluate the practical and administrative feasibility of each proposed solution against the problem.
Deploying mobile units and launching educational campaigns practically manage the patient load and prevent spread. Strict lockdowns and bypassing medical safety regulations are either too extreme or violate statutory rules.
Valid courses of action must solve the problem without introducing disproportionate harm or violating established administrative protocols.

Key Concept

Evaluating Administrative Proportionality and Feasibility in Crisis Management
Question 128Question →

A Project Director of a State Rural Livelihood Mission is overseeing a joint task force consisting of local NGO representatives and government block officials. The task force is deadlocked over the allocation of funds for a new skill development initiative. The NGO members complain about rigid bureaucratic hurdles, while the government officials accuse the NGOs of lacking financial accountability. The meetings have turned hostile, and progress has completely stalled. Which of the following is the most effective interpersonal negotiation strategy for the Project Director to resolve this deadlock and build consensus?

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Answer: Acknowledge the core concerns of both sides by reframing the dispute around a shared goal of sustainable project success, and establish a joint sub-committee to draft mutually acceptable funding guidelines.

Answer

The most effective strategy is to acknowledge the core concerns of both sides by reframing the dispute around a shared goal of sustainable project success, and establish a joint sub-committee to draft mutually acceptable funding guidelines.
The correct strategy reflects an integrative negotiation approach. By reframing the conflict around a shared objective (project success) and creating a structured, collaborative space (the sub-committee), the leader validates both sides' concerns while guiding them toward a constructive, mutually acceptable administrative solution.

Step-by-Step Solution

1
Analyze the source of the conflict within the group dynamics.
The conflict stems from a clash of priorities: the NGOs prioritize operational flexibility, while the block officials prioritize procedural and financial accountability.
Understanding the underlying interests of opposing parties is the first step in resolving inter-departmental or multi-stakeholder deadlocks.
2
Evaluate the proposed administrative actions against the principles of effective negotiation and public administration.
Threats, unilateral dissolution, and bypassing protocols violate either ethical communication standards or statutory rules. Only collaborative reframing addresses the root cause constructively.
Administrative problem-solving requires balancing statutory compliance with cooperative stakeholder engagement.
3
Select the option that utilizes an integrative (win-win) negotiation strategy.
Creating a joint sub-committee and reframing the issue around a shared goal forces the hostile parties to collaborate on a structural solution.
Integrative negotiation builds long-term consensus by transforming competing demands into shared administrative objectives.

Key Concept

Integrative Negotiation and Consensus Building in Public Administration
Question 129Question →

A state education department recently eliminated all mid-term exams in public schools to reduce student stress and promote holistic learning. However, after one academic year, an unintended cause-and-effect dynamic emerged: teachers reported a sharp increase in student absenteeism and a significant decline in classroom engagement, while final year-end exam failure rates unexpectedly doubled. As the District Education Officer analyzing this situation, which of the following is the most proportional and effective administrative intervention to address the root cause of these negative effects?

Show answer & explanation

Answer: Introduce low-stakes, continuous formative assessments to restore short-term academic milestones and engagement without reinstating the high stress of traditional mid-term exams.

Answer

The most proportional intervention is to introduce low-stakes, continuous formative assessments to restore short-term academic milestones and engagement without reinstating the high stress of traditional mid-term exams.
The correct course of action addresses the structural root cause—the absence of short-term goals—by implementing continuous, low-stress evaluations. This balances the original mandate (reducing student stress) with the operational necessity of keeping students engaged and measuring progress before a final, high-stakes exam.

Step-by-Step Solution

1
Analyze the cause-and-effect relationship initiated by the policy change.
The elimination of mid-term exams removed short-term goals and regular feedback, causing students to lose motivation, which directly led to increased absenteeism and poor final exam performance.
Accurately identifying the root cause of unintended consequences is required before formulating a corrective policy.
2
Evaluate potential interventions for administrative proportionality and efficacy.
Reintroducing low-stakes assessments provides necessary learning milestones while preserving the original policy's intent to reduce severe academic stress.
Administrative interventions must solve the root issue without causing extreme disruption or abandoning broader strategic objectives.

Key Concept

Identifying root causes of unintended policy outcomes and selecting proportional administrative interventions.
Question 130Question →

Consider the following statements regarding the 'SUBHADRA Yojana' launched by the Government of Odisha:

1. It provides a total financial assistance of ₹50,000 to eligible women over a period of five years.
2. The annual assistance is disbursed in two equal installments of ₹5,000 each directly into Aadhaar-enabled bank accounts.
3. The scheme is exclusively meant for senior citizens aged 60 years and above from Below Poverty Line families.

Which of the statements given above is/are correct?

Show answer & explanation

Answer: 1 and 2 only

Answer

1 and 2 only
Statements 1 and 2 are correct. Under the SUBHADRA Yojana of Odisha, eligible women receive ₹50,000 over five years (₹10,000 annually), disbursed in two equal installments of ₹5,000 each via Direct Benefit Transfer on Rakhi Purnima and International Women's Day. Statement 3 is incorrect because the target age group is 21 to 60 years.

Step-by-Step Solution

1
Evaluate the financial entitlement and tenure under the scheme.
Statement 1 is correct because the SUBHADRA Yojana provides ₹10,000 per year for five years, making the total assistance ₹50,000.
Verifying the core financial outlay and duration parameters.
2
Examine the mode and schedule of payment disbursal.
Statement 2 is correct because the annual ₹10,000 is credited in two equal installments of ₹5,000 each (on Raksha Bandhan and International Women's Day) via Direct Benefit Transfer into Aadhaar-linked accounts.
Checking the operational fund transfer framework.
3
Assess the age and beneficiary eligibility criteria.
Statement 3 is incorrect because the scheme covers women in the age bracket of 21 to 60 years, not senior citizens aged 60 and above.
Evaluating demographic eligibility limits.

Key Concept

Operational and eligibility parameters of state flagship women empowerment schemes
Estimated Time:1m 0s
Question 131Question →

A state government is preparing to construct a major water reservoir project in an ecologically sensitive agricultural region. To ensure administrative feasibility, statutory compliance, and minimal socio-economic disruption, arrange the following policy implementation phases in their correct logical and chronological sequence from first to last.

Drag items to arrange them in the correct order

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Answer

The correct chronological sequence of administrative implementation is: Conducting baseline Environmental Impact Assessment and public consultations first, followed by formulating the rehabilitation framework, securing statutory environmental clearances and cabinet approval, issuing land acquisition notifications and executing resettlement, and finally commencing civil construction alongside long-term impact monitoring.
Public policy feasibility relies on a structured sequence: evidence gathering through assessment and consultation, framework formulation based on evidence, statutory and executive approval, pre-construction human rehabilitation and legal acquisition, and lastly physical project execution coupled with impact monitoring.

Step-by-Step Solution

1
Identify the initial diagnostic phase.
Conducting baseline Environmental Impact Assessment (EIA) and public consultations is established as the necessary starting point.
Administrative feasibility requires understanding ground-level constraints before drafting policy terms.
2
Determine the policy formulation phase.
Formulating the targeted compensation and rehabilitation framework follows the baseline assessment.
Mitigation and compensation plans must reflect the specific risks uncovered during assessment.
3
Locate the regulatory and statutory approval milestone.
Obtaining statutory environmental clearances and formal cabinet sanction forms the third stage.
Government policies cannot legally proceed to ground execution without statutory regulatory clearance.
4
Sequence the pre-construction operational phase.
Issuing land acquisition notifications and carrying out community resettlement comes fourth.
Resettlement and legal acquisition must occur before heavy physical work begins.
5
Establish the execution and monitoring stage.
Commencing civil construction and deploying post-implementation evaluation mechanisms forms the final phase.
Construction marks physical project execution, accompanied by monitoring to gauge long-term policy impact.

Key Concept

Public Policy Feasibility and Sequential Administrative Execution
Question 132Question →
Find the next term in the following number sequence: 3,5,8,13,22,39,72,…3, 5, 8, 13, 22, 39, 72, \dots
Show answer & explanation

Answer: 137

Answer

The next number in the given series is 137.
Computing second-level differences between terms reveals a doubling sequence (1,2,4,8,161, 2, 4, 8, 16). The next second-level difference is 3232. Adding 3232 to the last first-level difference (3333) yields 6565. Finally, adding 6565 to the last term (7272) gives the correct value of 137137.

Step-by-Step Solution

1
Compute the first-order differences between consecutive terms in the series.
The first-order differences are 2,3,5,9,17,332, 3, 5, 9, 17, 33.
Analyzing differences helps determine whether the growth rate follows an arithmetic, geometric, or polynomial rule.
2
Compute the second-order differences of the first-order difference sequence.
The second-order differences are 1,2,4,8,161, 2, 4, 8, 16.
Because the first-order differences do not show an obvious linear pattern, evaluating higher-order differences is necessary.
3
Identify the underlying rule governing the second-order differences.
The second-order sequence doubles with each step (20,21,22,23,24,…2^0, 2^1, 2^2, 2^3, 2^4, \dots). The next second-order difference is 16×2=3216 \times 2 = 32.
Recognizing geometric doubling (2n2^n) allows for projecting the next step accurately.
4
Reconstruct the next first-order difference and calculate the required next sequence value.
Next first-order difference =33+32=65= 33 + 32 = 65. Next series term =72+65=137= 72 + 65 = 137.
Working backward through the difference layers yields the exact value of the next term.

Key Concept

Double-Difference Series with Geometric Progression
Estimated Time:2m 0s
Question 133Question →

Match each movement sequence described in List-I with its corresponding final position relative to the starting point in List-II.

Click a left item, then click its matching right item

Items

A person walks 3 km3\text{ km} North, then turns to his right and walks 4 km4\text{ km}.
A person walks 4 km4\text{ km} East, then turns to his right and walks 3 km3\text{ km}.
A person walks 3 km3\text{ km} South, then turns to his right and walks 4 km4\text{ km}.
A person walks 4 km4\text{ km} West, then turns to his right and walks 3 km3\text{ km}.

Matches

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Answer

Sequence 1 matches 5 km5\text{ km} North-East, Sequence 2 matches 5 km5\text{ km} South-East, Sequence 3 matches 5 km5\text{ km} South-West, and Sequence 4 matches 5 km5\text{ km} North-West.
Each movement sequence consists of two perpendicular steps of lengths 3 km3\text{ km} and 4 km4\text{ km}. By the Pythagorean theorem, the net displacement magnitude is 5 km5\text{ km} in all cases. The directional quadrant depends on the facing direction prior to the right turn: North+Right points North-East, East+Right points South-East, South+Right points South-West, and West+Right points North-West.

Step-by-Step Solution

1
Determine orientation and turns for each movement path.
Facing North and turning right leads East. Facing East and turning right leads South. Facing South and turning right leads West. Facing West and turning right leads North.
A 90∘90^\circ clockwise rotation corresponds to a right turn.
2
Calculate the magnitude of shortest distance for each path using the Pythagorean theorem.
In all four cases, the perpendicular components are 3 km3\text{ km} and 4 km4\text{ km}. The shortest distance is 32+42=9+16=5 km\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = 5\text{ km}.
The straight-line displacement forms a right-angled triangle.
3
Determine the resultant direction quadrant for each sequence.
(North, East) →\rightarrow North-East; (East, South) →\rightarrow South-East; (South, West) →\rightarrow South-West; (West, North) →\rightarrow North-West.
Combining two orthogonal direction vectors places the final point in the respective sub-cardinal quadrant.

Key Concept

Direction sense analysis, orthogonal turns, and Pythagorean distance calculation
Question 134Question →
Consider the following numerical series:
4,11,30,85,248,…4, 11, 30, 85, 248, \dots
What is the numerical value of the next term in this series?
Show answer & explanation

Answer: 735

Answer

735
Each term is generated by multiplying the preceding term by 3 and subtracting consecutive odd numbers starting from 1 (1,3,5,7,91, 3, 5, 7, 9). Therefore, the term following 248 is computed as (248×3)−9=735(248 \times 3) - 9 = 735.

Step-by-Step Solution

1
Examine the multiplier and subtractor progression between consecutive terms.
Multiplier is constantly 3, while subtractors follow the odd number sequence 1,3,5,7,…1, 3, 5, 7, \dots
Establishing a standard recurrence rule Tn=3⋅Tn−1−(2n−3)T_n = 3 \cdot T_{n-1} - (2n - 3) for n≥2n \ge 2.
2
Calculate the sixth term using the derived rule.
T6=(248×3)−9=744−9=735T_6 = (248 \times 3) - 9 = 744 - 9 = 735
The fifth term is 248, and the fifth odd integer to subtract is 9.

Key Concept

Mixed operation numerical series involving constant multiplication and arithmetic progression of subtractors
Estimated Time:2m 0s
Question 135Question →

Five administrative project files—File Alpha, File Beta, File Gamma, File Delta, and File Epsilon—were reviewed and cleared sequentially by a scrutiny committee. Based on the following clearance conditions, arrange the five files in the correct chronological order from the first file cleared to the last file cleared:

1. File Beta was cleared immediately after File Alpha.
2. File Delta was cleared after File Epsilon but before File Gamma.
3. File Alpha was cleared at some point after File Gamma.

What is the correct sequence of clearance from first to last?

Drag items to arrange them in the correct order

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Answer

The correct sequence of clearance from first to last is File Epsilon, File Delta, File Gamma, File Alpha, and File Beta.
File Epsilon is cleared first because File Delta follows File Epsilon, File Gamma follows File Delta, File Alpha follows File Gamma, and File Beta directly follows File Alpha. This forms the deterministic order: File Epsilon, File Delta, File Gamma, File Alpha, File Beta.

Step-by-Step Solution

1
Analyze relative position constraints for File Epsilon, File Delta, and File Gamma.
From condition 2, File Delta was cleared after File Epsilon but before File Gamma, establishing the partial order: File Epsilon → File Delta → File Gamma.
Delta must sit strictly between Epsilon and Gamma.
2
Analyze relative position constraints for File Gamma, File Alpha, and File Beta.
From condition 3, File Alpha was cleared after File Gamma (File Gamma → File Alpha). From condition 1, File Beta was cleared immediately after File Alpha (File Alpha → File Beta). Combining these yields: File Gamma → File Alpha → File Beta.
Alpha follows Gamma, and Beta directly locks in behind Alpha.
3
Merge all partial orders to form the unique complete sequence.
Combining (File Epsilon → File Delta → File Gamma) with (File Gamma → File Alpha → File Beta) gives the unique sequence: File Epsilon → File Delta → File Gamma → File Alpha → File Beta.
This satisfies every relative clearance condition without contradiction.

Key Concept

Linear Sequential Ordering and Constraint Satisfaction
Question 136Question →

In the following number sequence, a specific mathematical pattern is followed:

7,14,25,42,67,?7, 14, 25, 42, 67, ?

What is the value of the missing term represented by the question mark?

Show answer & explanation

Answer: 102

Answer

The missing term in the series is 102.
The correct answer is 102. The sequence is governed by a double difference pattern. The consecutive differences between terms are 7, 11, 17, and 25. The differences of these differences are 4, 6, and 8, which increase by 2 at each step. Thus, the next second difference is 10, the next term difference is 35, and the next term in the sequence is 67 + 35 = 102.

Step-by-Step Solution

1
Find the first-order differences between consecutive terms.
The differences are 7, 11, 17, and 25.
Analyzing first differences helps determine if the growth rate follows a recognizable secondary pattern.
2
Find the second-order differences.
The differences between the consecutive first differences are 4, 6, and 8.
Since the first differences are non-linear, second-order differences reveal the underlying constant acceleration (+2).
3
Project the next first-order difference using the second-order pattern.
The next second-order difference is 10 (since 8 + 2 = 10), making the next first-order difference 25 + 10 = 35.
Extrapolating the arithmetic pattern of the second differences yields the correct next increment.
4
Add the projected difference to the last term of the sequence.
67 + 35 = 102.
Applying the calculated increment to the last term completes the series.

Key Concept

Second-order arithmetic sequence (Double Difference Series)
Question 137Question →

A state administration is formulating a comprehensive Groundwater Conservation and Recharging Policy for a severely over-exploited agricultural district facing declining water tables and farmer distress. To ensure high feasibility and long-term sustainability, the administration must follow a structured public policy lifecycle.

Arrange the following administrative phases in the correct logical sequence of policy feasibility analysis and implementation, from the starting phase to the final stage:

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Answer

The correct logical sequence is: Baseline Hydro-Geological Assessment & Resource Mapping → Multi-Stakeholder Consultation & Socio-Economic Risk Mitigation → Pilot Demonstration & Operational Feasibility Testing → District-Wide Scale-Up & Regulatory Enforcement → Ex-Post Impact Audit & Policy Feedback Loop.
A sound public policy framework proceeds sequentially from diagnostic baseline assessment, to stakeholder consultation (social feasibility), pilot testing (operational feasibility), full-scale implementation, and finally ex-post impact evaluation. This ensures administrative efficiency, minimizes wasted resources, and maximizes policy impact.

Step-by-Step Solution

1
Identify the initial diagnostic step required for public policy formulation.
Baseline Hydro-Geological Assessment & Resource Mapping comes first as technical feasibility cannot be established without empirical baseline data.
Administrative decisions must be grounded in reliable baseline metrics regarding aquifer depletion and local economic dependencies.
2
Determine the step addressing social and political feasibility.
Multi-Stakeholder Consultation & Socio-Economic Risk Mitigation follows technical baseline mapping.
Engaging stakeholders early identifies public resistance, refines incentive structures, and ensures social feasibility before committing major capital.
3
Determine the intermediate testing phase.
Pilot Demonstration & Operational Feasibility Testing comes third.
Piloting allows administrators to observe operational bottlenecks and refine implementation strategies at a fraction of full-scale deployment costs.
4
Identify full-scale execution.
District-Wide Scale-Up & Regulatory Enforcement comes fourth.
Scaling up occurs only after refining policy parameters based on pilot results and stakeholder feedback.
5
Identify the final evaluation phase.
Ex-Post Impact Audit & Policy Feedback Loop comes last.
Impact evaluation can only occur post-implementation to measure long-term efficacy, cost-benefit ratios, and ongoing policy sustainability.

Key Concept

Public Policy Lifecycle and Feasibility Sequencing
Estimated Time:2m 0s
Question 138Question →

As the Sub-Divisional Magistrate (SDM) supervising a high-density public event, you receive report of an electrical short-circuit triggering a localized fire near the main exit gate, leading to immediate public panic and risk of a stampede. Which of the following administrative actions represent mandatory immediate measures under standard crisis management protocols? (Select all that apply)

Select all that apply

Show answer & explanation

Answer: Activate the local Incident Command System (ICS), coordinate emergency medical and fire services, and open designated secondary egress routes to safely divert crowd pressure.; Establish a centralized public address communication system at the scene to broadcast clear, calm evacuation instructions and counteract crowd rumors.

Answer

The required administrative actions are activating the local Incident Command System while opening secondary egress routes, and setting up a centralized public address system to guide crowd movement calmly.
Activating the Incident Command System enables organized multi-agency response while opening secondary evacuation routes relieves deadly crowd pressure. Concurrently, establishing centralized public address communications keeps attendees informed with authentic directions, preventing rumor-driven panic.

Step-by-Step Solution

1
Analyze the immediate risks associated with a fire near a venue exit.
Identify potential loss of life due to fire exposure and high stampede risk at compressed exit points.
Immediate administrative intervention must prioritize life safety, orderly evacuation, and structured command.
2
Evaluate response options against statutory disaster management guidelines.
Activating Incident Command and issuing official, calm public announcements satisfy statutory duties.
Unapproved personal communications and physical lockdown of exits violate safety standards and administrative protocols.

Key Concept

Crisis Management and Emergency Response Scenarios
Question 139Question →

A municipal corporation plans to transition city streetlights to smart solar-LED systems to cut electricity costs and lower carbon emissions. However, initial feasibility studies highlight high initial capital expenses and potential maintenance challenges during low-sunlight monsoon months. Which of the following administrative strategies represents the most balanced and feasible approach to implement this policy effectively?

Show answer & explanation

Answer: Initiate a phased pilot rollout in high-density corridors using a Public-Private Partnership model with performance-based maintenance terms while monitoring seasonal reliability.

Answer

The most balanced and feasible approach is to initiate a phased pilot rollout in high-density corridors using a Public-Private Partnership model with performance-based maintenance terms while monitoring seasonal reliability.
The correct strategy balances long-term policy goals with financial and operational constraints. Implementing a phased pilot program lowers financial exposure via a Public-Private Partnership (PPP) framework and provides empirical data regarding monsoon solar performance before committing full municipal resources.

Step-by-Step Solution

1
Identify key policy bottlenecks
High initial capital costs and technical uncertainty during monsoon months.
Public policy feasibility requires recognizing economic and technical constraints prior to deployment.
2
Evaluate administrative options against feasibility criteria
A phased rollout controls risk, while a Public-Private Partnership distributes financial burden and performance risks.
Gradual implementation allows administrators to collect data and make adjustments before full-scale capital commitment.

Key Concept

Public Policy Feasibility and Risk Mitigation in Administrative Decision Making
Question 140Question →

A delivery courier starts from a central warehouse and travels 5 km5\text{ km} due North. The courier then turns right and travels 12 km12\text{ km} due East, and finally turns right again and travels 5 km5\text{ km} due South. What is the shortest distance and direction of the courier relative to the starting warehouse?

Show answer & explanation

Answer: 12 km12\text{ km} to the East

Answer

12 km12\text{ km} to the East
Taking the starting warehouse as the origin (0,0)(0,0), moving 5 km5\text{ km} North reaches point (0,5)(0, 5). Turning right (facing East) and walking 12 km12\text{ km} reaches point (12,5)(12, 5). Turning right again (facing South while at (12,5)(12,5)) and traveling 5 km5\text{ km} brings the courier to (12,0)(12, 0). The straight-line distance from (0,0)(0,0) to (12,0)(12,0) is 12 km12\text{ km} in the positive x-direction, which corresponds to 12 km12\text{ km} to the East.

Step-by-Step Solution

1
Analyze vertical (North-South) displacement
The courier moves 5 km5\text{ km} North and later 5 km5\text{ km} South. Net vertical displacement = 5 km−5 km=0 km5\text{ km} - 5\text{ km} = 0\text{ km}.
Equal distances traveled in opposite directions along the vertical axis cancel out completely.
2
Analyze horizontal (East-West) displacement
The courier moves 12 km12\text{ km} East. Net horizontal displacement = 12 km12\text{ km} East.
There are no opposing Westward turns to reduce the Eastward travel.
3
Determine final straight-line position
The courier is located 12 km12\text{ km} due East of the starting warehouse.
Combining zero vertical shift and 12 km12\text{ km} Eastward shift gives a final vector of 12 km12\text{ km} East.

Key Concept

Vector Cancellation and Net Displacement
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