Tüm alıştırma soruları

4581 soru

Soru 1121Soru

Evaluate the structural parameters and operational guidelines of the 'Indira Gandhi Pyari Behna Sukh-Samman Nidhi Yojana' initiated by the Government of Himachal Pradesh. Which of the following statements regarding this welfare policy are correct?

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Cevap: The policy mandates a monthly direct financial transfer of ₹1,500 to eligible resident women in the age bracket of 18 to 60 years.; The Department of Social Justice and Empowerment of the Himachal Pradesh government serves as the administrative nodal agency for implementing the initiative.

Cevap

The correct statements are that the scheme provides a monthly direct transfer of ₹1,500 to eligible women aged 18 to 60 years, and that it is administratively executed by the Department of Social Justice and Empowerment.
The 'Indira Gandhi Pyari Behna Sukh-Samman Nidhi Yojana' was rolled out by the Government of Himachal Pradesh to provide ₹1,500 per month to women aged 18–60 years. The administrative execution of the scheme is handled by the state's Department of Social Justice and Empowerment.

Adım Adım Çözüm

1
Analyze the financial disbursement structure and target demographic bounds of the scheme.
Identified that eligible women aged 18–60 receive ₹1,500 monthly, verifying the provision of monthly cash assistance.
Establishing accurate beneficiary age limits and payment cadence determines core policy compliance.
2
Examine exclusion criteria and institutional governance.
Verified that government employees and taxpayers are barred from enrolling, and that implementation rests with the Department of Social Justice and Empowerment.
Exclusion rules prevent duplicate state benefits and target economic vulnerability.

Anahtar Kavram

State Welfare Policy Parameters and Nodal Department Governance
Tahmini Süre:2m 0s
Soru 1122Soru

If January 15, 1894 fell on a Monday, what day of the week was January 15, 1904?

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Cevap: Friday; friday; FRIDAY

Cevap

Friday
The period from January 15, 1894 to January 15, 1904 covers exactly 10 years. Within this period, we must count how many times February 29th is crossed. The year 1896 contributes one extra day. The year 1900 is a century year not divisible by 400, so it is a common year and contributes no extra days. The year 1904 is a leap year, but because the end date is January 15, we do not cross its February 29th, so it also contributes no extra days to this interval. The total number of odd days is 10 (for the 10 years) + 1 (for 1896) = 11. Dividing 11 by 7 leaves a remainder of 4. Four days after Monday is Friday.

Adım Adım Çözüm

1
Determine the total number of years between the two dates.
The interval from January 15, 1894 to January 15, 1904 is exactly 10 years.
This provides the base number of odd days, as each standard 365-day year shifts the day of the week by 1.
2
Identify the leap years that contribute an extra day (February 29) strictly within this interval.
The only leap year whose February 29th is crossed is 1896.
The year 1896 is a regular leap year. The year 1900 is a century year not divisible by 400, so it is NOT a leap year. The year 1904 is a leap year, but the target date is January 15, meaning its February 29th has not yet occurred.
3
Calculate the total number of odd days.
10 (base years) + 1 (extra day for crossing February 29, 1896) = 11 odd days.
We add one extra day for each leap year February actually experienced in the given time window.
4
Determine the remainder when dividing the total odd days by 7.
11 divided by 7 leaves a remainder of 4.
The days of the week repeat in a standard 7-day cycle, so we use modulo 7 arithmetic.
5
Add the remainder to the starting day of the week.
Monday + 4 days = Friday.
Counting forward four days from Monday gives Tuesday, Wednesday, Thursday, and finally Friday.

Anahtar Kavram

Calculating odd days across a century boundary and evaluating leap year inclusion based on the month.

Alternatif Yöntem

You can count the shift year by year: 1894 to 1895 (+1), '95 to '96 (+1), '96 to '97 (+2, crosses Feb '96), '97 to '98 (+1), '98 to '99 (+1), '99 to 1900 (+1), 1900 to '01 (+1), '01 to '02 (+1), '02 to '03 (+1), '03 to 1904 (+1, stops in Jan). The total is 11, giving a net shift of 4 days.
Tahmini Süre:1m 0s
Soru 1123Soru

Five delivery drivers (Liam, Maya, Noah, Olivia, and Paul) park their vans in a straight line facing North. The parking positions are numbered 1 to 5 from West (left) to East (right). Each van carries a different category of goods: Books, Clothing, Electronics, Food, and Medical supplies.

The following constraints apply:
1. Noah, who does not transport Medical supplies, is parked such that the van carrying Electronics is second to his right.
2. Maya's van is parked immediately to the left (West) of the van carrying Food.
3. Paul's van, which is not parked at either extreme end (Position 1 or 5), is parked immediately to the right (East) of the van carrying Medical supplies.
4. The van carrying Books is parked at the extreme left end (Position 1).
5. Liam's van is parked somewhere to the right of Paul's van, but Liam does not carry Food.

Based on the parking arrangement, who drives the van carrying Medical supplies, and what is its position?

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Cevap: Olivia, Position 3

Cevap

Olivia drives the van carrying Medical supplies, which is parked at Position 3.
Through logical deduction, the Medical van must be at Position 3 to allow Paul to be at Position 4 and Liam to be at Position 5. Once Maya and Noah are placed at Positions 1 and 2 to satisfy their respective constraints, Olivia is the sole remaining driver available to take Position 3.

Adım Adım Çözüm

1
Place the definitively known endpoints.
Position 1 is occupied by the van carrying Books.
Clue 4 explicitly states the Books van is at the extreme left end (Position 1).
2
Determine the possible positions for the Medical van and Paul.
The Medical van must be at Position 3, and Paul must be at Position 4.
Clue 3 states Paul is immediately right of Medical, and Paul is not at 1 or 5. This means (Medical, Paul) must be (2, 3) or (3, 4). If they are (2, 3), Clue 5 requires Liam to be at 4 or 5. Maya and Food must be adjacent (Clue 2), but no valid adjacent spots remain that don't violate Liam's restriction against carrying Food. Therefore, Medical is at 3, and Paul is at 4.
3
Place Liam's van.
Liam is at Position 5.
Clue 5 states Liam is to the right of Paul. Since Paul is at Position 4, Liam must take the only remaining spot to his right, which is Position 5.
4
Determine the positions of Maya, Food, Noah, and Electronics.
Maya is at 1 (Books), Food is at 2, Noah is at 2 (Food), and Electronics is at 4 (Paul).
Maya must be immediately left of Food (Positions 1 and 2 are the only adjacent spots available for driver and cargo). So Maya is at 1, driving Books, and Food is at 2. Clue 1 says Electronics is second to the right of Noah. Noah cannot be at 3 because he does not transport Medical supplies. Therefore, Noah must be at 2 (Food), making Electronics Position 4 (driven by Paul).
5
Assign the remaining driver and cargo.
Olivia is at Position 3, and Liam carries Clothing at Position 5.
Olivia is the only driver left, so she takes Position 3 (Medical). Clothing is the only cargo left, so it goes to Position 5 (Liam).

Anahtar Kavram

Linear arrangement and deterministic grouping based on positional and associative constraints.
Tahmini Süre:2m 0s
Soru 1124Soru

As the Superintending Engineer of a district utility board, you receive a formal grievance from a Junior Engineer (JE). The JE alleges that their immediate supervisor, the Executive Engineer (EE), deliberately and continuously assigns them to remote, difficult terrains while favoring another JE with comfortable urban postings. The EE justifies this deployment by stating the aggrieved JE has superior field skills but lacks the documentation accuracy required for urban centers. Frustrated by the lack of resolution, the aggrieved JE threatens to mobilize a "mass casual leave" protest with other junior staff within 48 hours if they are not reassigned. Which of the following is the most appropriate administrative course of action?

Cevabı ve açıklamayı göster

Cevap: Issue a written directive to the JE to unconditionally withdraw the mass leave threat to maintain discipline, while simultaneously initiating a formal, evidence-based review of the EE's deployment logs and both JEs' performance records.

Cevap

The most appropriate action is to direct the JE to withdraw the mass leave threat to maintain discipline, while simultaneously initiating a formal review of the deployment logs and performance records.
The correct administrative response must objectively address both the breach of discipline and the underlying grievance. Directing the withdrawal of the strike threat ensures operational continuity and enforces service rules. Simultaneously, ordering a formal review of deployment logs and performance metrics ensures fairness, tests the validity of the EE's justification, and avoids pre-judging either party.

Adım Adım Çözüm

1
Identify the dual administrative challenge presented in the scenario.
The situation requires addressing an immediate disciplinary threat (the mass casual leave) and a procedural grievance regarding perceived supervisory bias.
Administrative problems often involve overlapping issues of discipline and fair grievance redressal.
2
Evaluate the proposed actions against principles of natural justice, service conduct rules, and operational continuity.
Yielding to a threat or acting without evidence violates due process, while ignoring the grievance entirely is unfair. Formal investigation combined with strict adherence to conduct rules is required.
Administrators must remain neutral, rely on documented facts (deployment logs), and enforce rules uniformly.
3
Select the option that appropriately balances these requirements.
The action that enforces discipline by stopping the strike while formally investigating the EE's deployment rationale is the only balanced approach.
It neutralizes the crisis without compromising the integrity of the administrative system.

Anahtar Kavram

Balancing Administrative Discipline with Due Process in Grievance Redressal
Tahmini Süre:1m 30s
Soru 1125Soru

With reference to the 'PM Electric Drive Revolution in Innovative Vehicle Enhancement (PM E-DRIVE)' scheme approved by the Union Cabinet to promote electric mobility in India, consider the following statements:

1. The scheme is implemented under the aegis of the Union Ministry of Heavy Industries.
2. It provides direct financial demand incentives for purchasing personal electric passenger cars (e-4W) as well as commercial electric vehicles.
3. Demand incentives for electric two-wheelers and three-wheelers under the scheme are claimable through Aadhaar-authenticated e-vouchers generated at the time of purchase.

Which of the statements given above is/are correct?

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Cevap: 1 and 3 only

Cevap

Statements 1 and 3 are correct, while statement 2 is incorrect.
The correct option identifies that statements 1 and 3 are valid, whereas statement 2 is invalid. The PM E-DRIVE scheme, administered by the Ministry of Heavy Industries, introduced Aadhaar-authenticated e-vouchers for e-2W and e-3W incentive claims. It intentionally omits personal electric four-wheeler cars from demand subsidies to concentrate financial resources on mass transit, commercial vehicles, and two/three-wheeler fleets.

Adım Adım Çözüm

1
Analyze Statement 1 regarding the implementing ministry.
Statement 1 is CORRECT. The PM E-DRIVE scheme is spearheaded and implemented by the Union Ministry of Heavy Industries.
Establishing the correct nodal ministry is critical for governance initiative evaluation.
2
Evaluate Statement 2 regarding beneficiary vehicle coverage and eligibility.
Statement 2 is INCORRECT. The PM E-DRIVE scheme focuses demand incentives primarily on electric two-wheelers (e-2W), electric three-wheelers (e-3W), electric buses (e-buses), electric ambulances, and electric trucks. Personal passenger cars (e-4W) are excluded from direct purchase subsidies under this scheme.
Targeted welfare and incentive allocation criteria specify supported segments.
3
Evaluate Statement 3 regarding the incentive claim process.
Statement 3 is CORRECT. To ensure transparency and seamless subsidy disbursement, the scheme mandates Aadhaar-authenticated e-vouchers generated from the dedicated PM E-DRIVE portal at purchase.
Digital governance mechanisms streamline public incentive delivery.

Anahtar Kavram

Scope, eligibility, and implementing architecture of national e-mobility governance schemes (PM E-DRIVE).
Tahmini Süre:2m 0s
Soru 1126Soru

Consider the following statements regarding the wildlife sanctuaries and tiger reserves of Maharashtra:

1. Tadoba-Andhari Tiger Reserve is located in the Chandrapur district of Maharashtra.
2. Tipeshwar Wildlife Sanctuary is situated in the Yavatmal district.
3. The Sahyadri Tiger Reserve incorporates both Chandoli National Park and Koyna Wildlife Sanctuary.

Which of the statements given above are correct?

Cevabı ve açıklamayı göster

Cevap: 1, 2, and 3

Cevap

All three statements (1, 2, and 3) are correct.
All three given statements are factual and geographically correct regarding the state of Maharashtra: Tadoba-Andhari is located in Chandrapur district, Tipeshwar Wildlife Sanctuary is located in Yavatmal district, and Sahyadri Tiger Reserve encompasses both Chandoli National Park and Koyna Wildlife Sanctuary.

Adım Adım Çözüm

1
Evaluate Statement 1 regarding Tadoba-Andhari Tiger Reserve.
Tadoba-Andhari Tiger Reserve is situated in the Chandrapur district of Maharashtra. Statement 1 is correct.
It is Maharashtra's oldest national park, declared in 1955, and merged into a tiger reserve in 1995.
2
Evaluate Statement 2 regarding Tipeshwar Wildlife Sanctuary.
Tipeshwar Wildlife Sanctuary lies in the Yavatmal district of Maharashtra. Statement 2 is correct.
Tipeshwar is a prominent wildlife sanctuary situated in the Yavatmal district, known for its tiger corridor connectivity.
3
Evaluate Statement 3 regarding Sahyadri Tiger Reserve.
Sahyadri Tiger Reserve comprises Chandoli National Park and Koyna Wildlife Sanctuary. Statement 3 is correct.
Notified in 2008–2010, the Sahyadri Tiger Reserve in the Western Ghats region of Maharashtra consists of Chandoli National Park and Koyna Wildlife Sanctuary.

Anahtar Kavram

State Protected Areas, Wildlife Sanctuaries, and Tiger Reserve District Mapping
Soru 1127Soru

Effective governance requires clear communication across administrative tiers, yet various impediments frequently disrupt message transmission and understanding. Match the Types of Communication Barriers in List-I with their corresponding Real-World Administrative Scenarios in List-II:

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Psychological Barrier
Semantic Barrier
Physical / Environmental Barrier
Organizational Barrier

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Psychological Barrier matches with selective filtering due to personal bias; Semantic Barrier matches with misinterpretation due to complex legal terminology; Physical / Environmental Barrier matches with signal distortion during weather events; Organizational Barrier matches with suppression of feedback due to rigid hierarchical protocols.
Each barrier type corresponds to its structural cause: Psychological barriers relate to internal emotional biases; Semantic barriers arise from language and jargon ambiguity; Physical/environmental barriers result from external channel disturbance; Organizational barriers stem from rigid institutional hierarchy and status consciousness.

Adım Adım Çözüm

1
Analyze the barrier classifications listed in List-I based on established communication theories.
Identified psychological barriers as internal mental/attitudinal states, semantic barriers as language/jargon issues, physical barriers as environmental/channel noise, and organizational barriers as structural/hierarchical constraints.
Establishing clear definitions of each barrier type is essential for correct classification.
2
Examine the specific cause of communication failure described in each administrative scenario in List-II.
Matched each scenario to its root underlying barrier: personal bias (Psychological), legal jargon (Semantic), atmospheric static (Physical), and rigid hierarchy (Organizational).
Connecting real-world administrative events to formal barrier classifications demonstrates applied understanding.

Anahtar Kavram

Classification and Identification of Communication Barriers
Soru 1128Soru

Read the given statement and the two arguments that follow, then answer the question.

Statement:
Should state governments transition entirely from paper-based land ownership registries to a decentralized blockchain digital ledger for all property transactions?

Arguments:
I. Yes, because an immutable digital ledger provides tamper-proof transaction records, thereby reducing fraudulent land transfers and prolonged civil litigation.
II. No, because complete digitalization without physical alternatives risks disenfranchising rural property owners who lack reliable internet connectivity and digital literacy.

Which of the options below correctly evaluates the strength of these arguments?

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Cevap: Both Argument I and Argument II are strong

Cevap

Both Argument I and Argument II are strong
Both arguments are strong because they address different essential dimensions of the proposed policy. Argument I focuses on governance efficiency, transparency, and fraud reduction through technological immutability. Argument II addresses critical implementation barriers, digital divide issues, and the risk of disenfranchising vulnerable rural populations. Because both arguments are directly relevant, logically sound, and based on realistic outcomes, both are strong.

Adım Adım Çözüm

1
Evaluate Argument I for relevance, logical soundness, and tangible justification.
Argument I directly addresses land fraud and litigation with a clear causal mechanism (tamper-proof ledger). Thus, Argument I is strong.
An argument is strong if it is directly related to the statement and provides a logical, non-trivial reason.
2
Evaluate Argument II for relevance, logical soundness, and realistic policy constraints.
Argument II highlights a crucial infrastructure and digital literacy barrier that could lead to rights disenfranchisement. Thus, Argument II is strong.
Valid practical drawbacks or social impact constraints make an argument strong when evaluating policy decisions.
3
Synthesize the evaluation of both arguments.
Since both arguments present sound, realistic, and relevant points from governance and social equity perspectives, both are strong.
A comprehensive policy evaluation recognizes both structural benefits and implementation challenges as valid strong arguments.

Anahtar Kavram

Evaluation of Strong and Weak Arguments in Public Policy Statements
Tahmini Süre:1m 30s
Soru 1129Soru

During periods of rapid urbanization, municipal development boards frequently adopt expedited land acquisition protocols to accelerate industrial corridor projects. However, when administrative authorities bypass statutory environmental impact assessments to fast-track commercial zoning, they inevitably court severe ecological degradation and protracted legal disputes with affected rural communities. Although regional planners defend these streamlined procedures as necessary catalysts for attracting private investment, policy analysts warn that ignoring environmental safeguards does not neutralize long-term developmental hazards. Instead, short-circuiting mandatory public consultations actively invites regulatory paralysis and erodes public trust in state institutions. Sustainable urban governance requires balancing economic urgency with procedural rigor, ensuring that administrative actions do not recklessly expose state machinery to systemic legal and environmental liabilities.

In the context of the passage excerpt above, what does the word 'court' most nearly mean?

Cevabı ve açıklamayı göster

Cevap: To recklessly invite or expose oneself to undesirable consequences

Cevap

To recklessly invite or expose oneself to undesirable consequences
In the passage excerpt, 'court' is used as a verb taking 'severe ecological degradation' as its direct object. The subsequent sentences explain that short-circuiting mandatory procedures 'actively invites regulatory paralysis' and 'recklessly expose[s] state machinery to systemic legal and environmental liabilities'. Therefore, the correct answer is the option stating that 'court' means to recklessly invite or expose oneself to undesirable consequences.

Adım Adım Çözüm

1
Locate the target word in the passage excerpt and analyze its immediate context.
The word 'court' appears in the sentence: '...when administrative authorities bypass statutory environmental impact assessments... they inevitably court severe ecological degradation...'
Understanding the surrounding clause reveals the relationship between the administrative action (bypassing assessments) and its consequence (ecological degradation).
2
Identify contextual clues and parallel phrasing within the passage.
The subsequent sentence rephrases the idea as 'actively invites regulatory paralysis' and 'recklessly expose state machinery to systemic legal and environmental liabilities'.
Authors often use synonym phrases ('actively invites', 'recklessly expose') to reinforce the contextual meaning of key terms.
3
Evaluate the option choices against the derived contextual definition and eliminate dictionary distractors.
The meaning corresponding to 'recklessly invite or expose oneself to' matches the passage context precisely.
Definitions relating to judicial tribunals or flattery misapply literal dictionary meanings that contradict the text's emphasis on incurring risk.

Anahtar Kavram

Vocabulary in Context and Contextual Word Meanings
Soru 1130Soru

During an administrative orientation session on interpersonal skills, officers are asked to identify body language cues that belong specifically to the domain of kinesics. Which of the following scenarios demonstrate non-verbal communication behaviors that fall under kinesics?

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Cevap: A presenter utilizing open-palm hand gestures to emphasize key statistical points during a public policy briefing.; A committee member nodding their head periodically to regulate the conversational flow and signal active listening.

Cevap

The scenarios describing open-palm hand gestures (illustrators) and head nodding (regulators) correctly represent kinesics.
Kinesics encompasses non-verbal communication expressed through physical body movements. Open-palm hand gestures serve as illustrative kinesic gestures, while head nodding functions as kinesic regulation during interpersonal interactions.

Adım Adım Çözüm

1
Define kinesics in interpersonal communication.
Kinesics refers exclusively to communication through body movements, including facial expressions, gestures, posture, eye movement (oculesics), and head movements.
Establishing the core theoretical boundary isolates body movement from other non-verbal channels.
2
Evaluate each option against kinesic characteristics.
Hand gestures (illustrators) and head nods (regulators) directly involve body movement. Vocal pitch modulation is paralinguistic (vocalics), while physical seating distance belongs to proxemics and environmental barriers.
Differentiating kinesics from vocalics (paralinguistics) and spatial distance (proxemics) identifies the correct options.

Anahtar Kavram

Kinesics and Body Language Classification
Tahmini Süre:45s
Soru 1131Soru

During a public grievance redressing camp, a citizen fails to process the procedural instructions provided by a desk officer because the citizen is experiencing extreme personal anxiety and emotional stress over an ongoing property dispute. If an administrative analyst misclassifies this internal emotional state as a physical environmental noise barrier, which communication error has occurred?

Cevabı ve açıklamayı göster

Cevap: Confusing psychological barriers with environmental noise barriers in the communication process

Cevap

Confusing psychological barriers with environmental noise barriers in the communication process
The correct answer accurately identifies the mistake in communication analysis. Noise in the communication process is broadly categorized by its source. Anxiety, fear, and emotional distress are internal mental filters categorized as psychological noise. Physical noise in the surroundings (such as loud acoustics, bad weather, or visual distractions) represents environmental noise. Mislabeling internal stress as environmental noise represents a direct confusion between psychological and physical barriers.

Adım Adım Çözüm

1
Identify the nature of the interference described in the scenario.
The citizen's listening capability is obstructed by internal anxiety and emotional stress, which originates within the receiver's psychological frame.
Internal cognitive and emotional states that hinder accurate decoding are defined as psychological noise.
2
Analyze the analyst's classification error.
The analyst labeled the internal emotional distress as physical environmental noise.
Environmental noise refers strictly to external physical factors in the surroundings such as loud machinery, distance, or poor lighting.
3
Select the correct option that characterizes this misclassification.
The option stating 'Confusing psychological barriers with environmental noise barriers in the communication process' accurately captures the conceptual error.
It directly contrasts internal psychological states with external physical noise elements.

Anahtar Kavram

Classification of Noise and Barriers in Communication
Soru 1132Soru

Statement: Should municipal corporations mandate rainwater harvesting systems for all newly constructed commercial buildings in urban areas?

Arguments:
I. Yes, rainwater harvesting reduces urban storm-water flooding and helps replenish depleted groundwater tables.
II. No, all government building regulations are completely unnecessary and should be abolished immediately.
III. Yes, sustainable urban water management is essential for long-term municipal water security.

Which of the arguments listed above is/are strong?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Argument I: Yes, rainwater harvesting reduces urban storm-water flooding and helps replenish depleted groundwater tables.; Argument III: Yes, sustainable urban water management is essential for long-term municipal water security.

Cevap

The arguments supporting the mandate based on groundwater replenishment, flood reduction, and long-term water security are strong arguments.
Arguments emphasizing groundwater replenishment, reduction of storm-water flooding, and long-term municipal water security are strong because they are directly relevant, realistic, and provide cogent reasons supporting the statement.

Adım Adım Çözüm

1
Analyze Argument I
Argument I is strong.
It addresses the issue directly with specific, logical benefits: flood reduction and groundwater restoration.
2
Analyze Argument II
Argument II is weak.
It advocates an extreme administrative position (abolishing all building regulations) without evaluating the specific merits of rainwater harvesting.
3
Analyze Argument III
Argument III is strong.
It connects the policy to the vital long-term objective of urban water security.

Anahtar Kavram

Identifying Strong and Weak Arguments
Soru 1133Soru
What is the remainder when the sum 222026+392026+562026+732026+90202622^{2026} + 39^{2026} + 56^{2026} + 73^{2026} + 90^{2026} is divided by 1717?
Cevabı ve açıklamayı göster

Cevap: 11

Cevap

11
By reducing all bases modulo 17, the sum becomes five identical terms of 520265^{2026}, which simplifies to 520275^{2027}. Using Fermat's Little Theorem (5161(mod17)5^{16} \equiv 1 \pmod{17}), the exponent 2027 is reduced modulo 16 to 11. Finally, calculating 511(mod17)5^{11} \pmod{17} yields 40-40, which corresponds to a positive remainder of 11.

Adım Adım Çözüm

1
Reduce each base in the expression modulo 17.
The expression simplifies to 52026+52026+52026+52026+52026(mod17)5^{2026} + 5^{2026} + 5^{2026} + 5^{2026} + 5^{2026} \pmod{17}.
Using the property (A(modM))k(modM)=Ak(modM)(A \pmod M)^k \pmod M = A^k \pmod M, we find that 22, 39, 56, 73, and 90 all leave a remainder of 5 when divided by 17.
2
Combine the identical terms into a single expression.
The sum becomes 5×52026=52027(mod17)5 \times 5^{2026} = 5^{2027} \pmod{17}.
Since there are exactly 5 identical terms, adding them together is equivalent to multiplying the term by 5, which conveniently increases the exponent by 1.
3
Apply Fermat's Little Theorem to reduce the large exponent.
Fermat's Little Theorem states 5161(mod17)5^{16} \equiv 1 \pmod{17}. Dividing the exponent 2027 by 16 yields 2027=16×126+112027 = 16 \times 126 + 11.
Because 17 is a prime number and does not divide 5, we can use ap11(modp)a^{p-1} \equiv 1 \pmod p to eliminate full cycles of 16 in the exponent.
4
Simplify the remaining expression 511(mod17)5^{11} \pmod{17}.
The expression reduces to 6(mod17)-6 \pmod{17}.
We break down the power: 52=2585^2 = 25 \equiv 8, 5482=6445^4 \equiv 8^2 = 64 \equiv -4, and 58(4)2=1615^8 \equiv (-4)^2 = 16 \equiv -1. Thus, 511=58×52×51(1)×8×5=405^{11} = 5^8 \times 5^2 \times 5^1 \equiv (-1) \times 8 \times 5 = -40. Since 40=3×17+11-40 = -3 \times 17 + 11, the remainder is 11 (or 6-6).
5
Convert any negative remainder to a valid positive remainder.
6+17=11-6 + 17 = 11. The final remainder is 11.
A standard remainder must be a positive integer strictly less than the divisor.

Anahtar Kavram

Fermat's Little Theorem and Modulo Arithmetic Reductions
Soru 1134Soru

At a charity dinner, a woman named Sarah points to a man across the room and tells her friend, 'His wife's father-in-law is the husband of my husband's mother.' If it is known that Sarah's husband is his parents' only son, what is the exact relationship of the man to Sarah?

Cevabı ve açıklamayı göster

Cevap: Husband; husband; Spouse; spouse; Her husband

Cevap

Husband
Breaking down Sarah's statement: 'the husband of my husband's mother' refers to Sarah's father-in-law (the father of her husband). Therefore, 'His wife's father-in-law' must also be Sarah's father-in-law. For the man's wife to have the same father-in-law as Sarah, the man's father must be Sarah's father-in-law. This means the man is either Sarah's husband's brother, or he is Sarah's husband himself. Since we are given that Sarah's husband is his parents' only son, he cannot have any brothers. Thus, the man Sarah is pointing to must be her own husband.

Adım Adım Çözüm

1
Identify the person described in the second half of Sarah's statement: 'the husband of my husband's mother'.
Sarah's husband's mother is her mother-in-law. The husband of her mother-in-law is Sarah's father-in-law (her husband's father).
Breaking down the relational chain from Sarah's perspective establishes the target identity.
2
Identify the person described in the first half of the statement: 'His wife's father-in-law'.
For any married man, his wife's father-in-law is his own father.
The father-in-law of a wife is by definition the father of her husband.
3
Equate the two identities found in steps 1 and 2.
The man's father is the exact same person as Sarah's husband's father.
The statement uses the word 'is' to connect both descriptions, meaning they refer to the same individual.
4
Determine the relationship based on the constraint that Sarah's husband is his parents' only son.
Since the man and Sarah's husband share the same father, they must be brothers, or they must be the same person. Because Sarah's husband is an only son, there are no brothers. Therefore, the man must be Sarah's husband himself.
Applying the final logical constraint eliminates all other possibilities.

Anahtar Kavram

Blood Relations
Soru 1135Soru

The I2U2 Group is a multilateral framework established to foster joint investments and economic cooperation across sectors such as water, energy, transportation, space, health, and food security. Which of the following statements regarding the I2U2 Group are correct?

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: The grouping comprises India, Israel, the United Arab Emirates, and the United States.; It was initially referred to as the 'International Forum for Economic Cooperation' following its inaugural ministerial meeting in October 2021.

Cevap

The statements identifying the member nations as India, Israel, the United Arab Emirates, and the United States, as well as noting its initial launch as the International Forum for Economic Cooperation in October 2021, are correct.
The statement specifying India, Israel, the United Arab Emirates, and the United States correctly reflects the membership structure of I2U2. Furthermore, the statement highlighting its launch as the International Forum for Economic Cooperation in October 2021 accurately describes the initial setup of this multilateral group.

Adım Adım Çözüm

1
Identify the member composition of the I2U2 Group.
The name 'I2U2' stands for two 'I' countries (India, Israel) and two 'U' countries (United Arab Emirates, United States).
This confirms that the statement listing India, Israel, the United Arab Emirates, and the United States is correct.
2
Evaluate the administrative and institutional structure of the grouping.
I2U2 operates without a permanent secretariat or static headquarters, conducting its work through leader summits and ministerial consultations.
This refutes the claim of a permanent Geneva-based secretariat.
3
Review the origins and historical timeline of the forum.
The ministers of foreign affairs of the four countries convened in October 2021 and established the 'International Forum for Economic Cooperation', which later held its first leaders' summit as I2U2 in July 2022.
This validates the statement regarding its initial operational title in October 2021.

Anahtar Kavram

Composition, history, and focus areas of multilateral economic partnerships (I2U2 Group)
Tahmini Süre:1m 30s
Soru 1136Soru

During a sub-divisional grievance meeting, a delegation leader from the local Anganwadi Workers' Union emotionally states: 'Our members are completely overwhelmed by mandatory digital survey duties while our basic monthly honorarium remains unpaid for four months. How can the district administration expect accurate field data when our basic livelihood needs are ignored?' Which of the following responses by the Sub-Divisional Magistrate (SDM) best demonstrates active listening combined with a constructive feedback mechanism?

Cevabı ve açıklamayı göster

Cevap: I recognize how stressful this financial delay must be while managing heavy field workloads. If I understand correctly, your primary demand is prioritizing the release of pending honorariums before expanding survey mandates; let us document these specific bottlenecks to establish a tracked resolution timeline.

Cevap

The response where the officer acknowledges the financial stress, paraphrases the main concern regarding honorarium release, and establishes a tracked resolution timeline.
The correct response demonstrates core active listening principles: emotional reflection ('recognize how stressful...'), accurate paraphrasing ('If I understand correctly...'), and a structured two-way feedback loop ('document these specific bottlenecks to establish a tracked resolution timeline').

Adım Adım Çözüm

1
Analyze the speaker's message for affective (emotional) and cognitive (substantive) components
The speaker expresses distress over unpaid honorariums (emotional) and frustration with heavy survey workloads (cognitive).
Active listening requires capturing both the feelings and the factual content of the speaker.
2
Evaluate the officer's listening response techniques
Reflecting feelings ('recognize how stressful...') and perception checking ('If I understand correctly...') validate the speaker without escalating conflict.
Empathy and paraphrasing confirm accurate message reception in administrative dialogue.
3
Assess the feedback mechanism component
Documenting specific bottlenecks and setting up a joint, tracked resolution timeline establishes a two-way closed-loop feedback mechanism.
Constructive feedback in administration requires actionable verification and follow-up steps.

Anahtar Kavram

Active Listening and Feedback Mechanisms
Soru 1137Soru

Examine the two premises given below:

Premise 1: All engineers are professionals.
Premise 2: No professionals are illiterate.

Now evaluate the following candidate conclusions:
Conclusion I: No engineers are illiterate.
Conclusion II: Some illiterate individuals are engineers.

Which of the following options accurately identifies the logically valid conclusion(s)?

Cevabı ve açıklamayı göster

Cevap: Conclusion I alone is logically valid

Cevap

Conclusion I alone is logically valid.
The correct response identifies that only Conclusion I logically follows. Combining the universal affirmative statement 'All engineers are professionals' with the universal negative statement 'No professionals are illiterate' guarantees that the group of engineers has no intersection with illiterate individuals.

Adım Adım Çözüm

1
Analyze the distribution of terms in the premises.
The subject term 'engineers' is fully contained within the middle term 'professionals'. The predicate term 'illiterate' is completely excluded from 'professionals'.
Establishing set relations helps determine validity in standard categorical syllogisms.
2
Evaluate Conclusion I (No engineers are illiterate).
Since the set of 'engineers' is entirely inside 'professionals', and no 'professionals' overlap with 'illiterate', there can be no overlap between 'engineers' and 'illiterate'. Thus, Conclusion I is logically valid.
Universal affirmative combined with universal negative produces a valid universal negative conclusion (EAE-1 figure).
3
Evaluate Conclusion II (Some illiterate individuals are engineers).
Since 'engineers' and 'illiterate' are disjoint sets, any claim asserting an overlap between them is invalid.
An affirmative particular conclusion cannot follow from a valid universal negative relation.

Anahtar Kavram

Syllogistic Deduction with Universal Categorical Propositions
Tahmini Süre:45s
Soru 1138Soru

During a press briefing regarding a disputed land acquisition compensation package, a Senior District Collector reads a statement affirming the administration's full commitment to fair rehabilitation. However, the official delivers the message in a flat, monotonous voice with frequent vocal pauses and hesitations, while ambient microphone static causes mild auditory distortion in the back row. Following the briefing, the landowners report feeling that the administration was evasive and insincere despite the positive wording of the official release. Which breakdown in communication elements and channels most accurately accounts for the audience's perception of evasiveness in this scenario?

Cevabı ve açıklamayı göster

Cevap: Paralinguistic cues—specifically flat vocal tone, speech rhythm, and hesitations—contradicted the spoken words, leading receivers to rely on vocal delivery over verbal content during message decoding.

Cevap

Paralinguistic cues—specifically flat vocal tone, speech rhythm, and hesitations—contradicted the spoken words, leading receivers to rely on vocal delivery over verbal content during message decoding.
When verbal content conflicts with non-verbal delivery, receivers rely primarily on non-verbal cues to assess sincerity and intent. Flat vocal tone, hesitation, and monotonous delivery are paralinguistic features (vocalics). In this administrative setting, these paralinguistic cues directly contradicted the reassuring verbal text, causing the audience to decode the overall message as evasive.

Adım Adım Çözüm

1
Analyze the communication channels active in the scenario.
The scenario highlights two distinct channels: the explicit verbal text (promising fair rehabilitation) and the non-verbal vocal characteristics (flat tone, hesitation, monotonous pitch).
Effective administrative communication requires alignment between verbal messages and non-verbal delivery.
2
Classify the specific non-verbal channel driving the audience's perception.
Vocal tone, pitch variation, speed, and pauses belong to paralinguistics (vocalics), distinct from kinesics (body movement/gestures).
Proper classification isolates why the audience felt the sender was evasive despite hearing reassuring words.
3
Evaluate channel dominance during contradictory message decoding.
In cases of channel incongruence, receivers assign significantly higher weight to non-verbal paralinguistic signals than to literal verbal content when decoding emotional state and sincerity.
The audience perceived evasiveness because the paralinguistic cues undermined the credibility of the spoken statement.

Anahtar Kavram

Paralinguistics and Channel Incongruence in Communication Decoding
Tahmini Süre:2m 0s
Soru 1139Soru

Read the following statements and conclusions carefully:

Statements:
1. All quantum sensors are optical resonators.
2. No optical resonator is a thermal detector.
3. All thermal detectors are cryogenic probes.

Conclusions:
I. No quantum sensor is a thermal detector.
II. Some cryogenic probes are not optical resonators.

Which of the specified conclusions logically follow(s) from the given statements under strict formal logic?

Cevabı ve açıklamayı göster

Cevap: Only conclusion I follows

Cevap

Only conclusion I follows
The correct answer identifies that only Conclusion I logically follows. Combining 'All quantum sensors are optical resonators' with 'No optical resonator is a thermal detector' logically forces the universal negative result that no quantum sensor can be a thermal detector. Conclusion II attempts to draw a particular ('Some') conclusion from purely universal premises, which is invalid without assuming existential import.

Adım Adım Çözüm

1
Analyze Statement 1 and Statement 2
Statement 1: Quantum Sensors \subseteq Optical Resonators. Statement 2: Optical Resonators \cap Thermal Detectors == \emptyset.
Combining these two universal statements yields Quantum Sensors \cap Thermal Detectors == \emptyset (No quantum sensor is a thermal detector).
2
Evaluate Conclusion I
Conclusion I ('No quantum sensor is a thermal detector') is valid.
It is a universal negative statement (E-type) validly drawn from two universal premises (A-type and E-type).
3
Analyze Statement 3 and Evaluate Conclusion II under formal categorical logic
Premises are all Universal (All Q are O, No O is T, All T are C). Conclusion II is Particular ('Some cryogenic probes are not optical resonators').
In formal Boolean categorical logic, universal premises do not carry existential import (they do not guarantee that thermal detectors actually exist). Deriving a particular conclusion ('Some...') from purely universal premises commits the existential fallacy unless the existence of elements is explicitly stated.

Anahtar Kavram

Existential Fallacy in Categorical Syllogisms
Tahmini Süre:2m 0s
Soru 1140Soru

You are the Project Director for a crucial State Highway expansion. During the excavation phase, workers uncover a small, unrecorded historical structure that local villagers immediately claim is a centuries-old sacred shrine. The villagers demand the highway be rerouted, which would delay the project by two years and cost millions in taxpayer money. The project contractor suggests quickly demolishing the structure at night before the Archaeological Department can inspect it, arguing that this will save public funds and ensure timely completion of the highway. Which of the following is the most ethically and administratively appropriate course of action?

Cevabı ve açıklamayı göster

Cevap: Temporarily halt construction at the specific site, secure the perimeter, and formally request the Archaeological Department and district administration to assess the structure before taking further action.

Cevap

The most appropriate action is to temporarily halt construction at the site, secure the area, and request a formal assessment from the Archaeological Department and district administration.
The correct action strictly adheres to administrative propriety and due process. By halting construction only at the specific site and calling in the Archaeological Department, the officer balances the need to continue the highway project where possible while legally and transparently addressing the heritage claim. It ensures that the final decision is made by the competent statutory authority rather than being rushed or hidden.

Adım Adım Çözüm

1
Analyze the conflicting interests in the scenario.
The conflict is between the timely completion of a public infrastructure project (saving taxpayer money) and the preservation of potential historical or cultural heritage (respecting public sentiment and law).
Understanding the core ethical and administrative tension is essential for sound decision-making.
2
Evaluate the contractor's proposed solution.
Demolishing the structure at night is illegal, non-transparent, and violates archaeological preservation laws.
Administrative actions must always be legal, transparent, and follow due process, regardless of the pressure for efficiency.
3
Determine the legally and administratively sound course of action.
The project director must pause work at the disputed site and defer to the competent statutory authority (the Archaeological Department) to determine the structure's true value.
Civil servants must follow established statutory protocols and avoid overstepping their specific jurisdictional authority when dealing with specialized issues like heritage conservation.

Anahtar Kavram

Due Process and Statutory Compliance in Administration
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