Logical Reasoning and Analytical Ability

493 soru

Soru 301Soru

Analyze the regulatory directive provided below and evaluate the implicit assumptions.

Directive: In an effort to combat the increasing rate of targeted financial scams, the Central Banking Authority now requires all commercial banks to enforce a 24-hour processing delay on first-time electronic transfers over $5,000 made by customers aged 65 and above.

Assumption I: A 24-hour delay provides an adequate window of time for either the banking institution or the customer to identify and halt a fraudulent transaction.
Assumption II: The implementation of this processing delay will cause a substantial reduction in the overall number of high-value electronic transfers initiated by senior citizens.

Which of the assumptions is logically implicit in the given directive?

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Cevap: Only Assumption I is implicit

Cevap

Only Assumption I is implicit.
An assumption is a foundational belief necessary for a statement to make logical sense. Because the Central Banking Authority instituted a precise 24-hour delay specifically to 'combat' financial scams, they must inherently believe that 24 hours is a sufficient window to intercept these scams. Therefore, the first assumption is implicit. The second assumption, however, is a predictive inference about future economic behavior, which is a possible consequence rather than an underlying premise.

Adım Adım Çözüm

1
Define the criteria for an implicit assumption in logical reasoning.
An assumption must be a hidden, unstated premise that the author or authority absolutely believes to be true in order to make the statement or issue the directive.
Establishing the definition prevents confusing assumptions with inferences, conclusions, or external facts.
2
Evaluate Assumption I using the negation test.
If a 24-hour delay did NOT provide enough time to identify and halt fraud, the Authority's directive would be useless. Therefore, they must assume it DOES provide adequate time.
The negation test proves that Assumption I is a foundational prerequisite for the policy.
3
Evaluate Assumption II by checking if it is a premise or a consequence.
Assumption II predicts that the 'overall number' of legitimate and illegitimate transfers will decrease. This is a speculative future outcome (an inference), not a required starting premise.
Policies are built on premises (assumptions) to achieve goals; they do not necessarily assume speculative side-effects as their foundational logic.

Anahtar Kavram

Statement and Assumptions: Distinguishing between foundational premises and logical inferences/consequences.
Tahmini Süre:1m 30s
Soru 302Soru

Six disaster management officers—Amit, Bina, Chetan, Divya, Esha, and Farooq—are deployed across three zones (North, South, and East) and two operational shifts (Morning and Night). Each zone has exactly two officers: one in the Morning shift and one in the Night shift. The deployment follows these conditions:

1. Divya is assigned to the East zone in the Morning shift.
2. Amit is assigned to the North zone in the Night shift.
3. Esha is not in the same shift as Amit.
4. Bina and Chetan work in the same shift in different zones, neither of which is the North zone.
5. Farooq is assigned to the South zone.

Based on the given information, who among the following is assigned to the North zone in the Morning shift?

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Cevap: Esha

Cevap

Esha is assigned to the North zone in the Morning shift.
By analyzing shift capacity constraints, the Night shift is occupied by Amit, Bina, and Chetan. The Morning shift consists of Divya, Farooq, and Esha. Since Divya is assigned to East Morning and Farooq is assigned to South Morning, Esha must be assigned to North Morning.

Adım Adım Çözüm

1
Identify fixed placements from the given conditions
East Morning is occupied by Divya. North Night is occupied by Amit.
Directly stated in conditions 1 and 2.
2
Deduce shift assignments for all officers using capacity constraints
Since Amit is in the Night shift, Esha works in the Morning shift (condition 3). Bina and Chetan must work in the Night shift because if they were in the Morning shift, the Morning shift would have 4 officers (Divya, Esha, Bina, Chetan), exceeding the total capacity of 3 Morning slots.
Each shift across three zones can accommodate exactly 3 officers (1 per zone).
3
Map remaining officers to zones within their respective shifts
Night shift officers are Amit (North), Bina (South/East), and Chetan (East/South). Morning shift officers are Divya (East), Farooq (South, condition 5), and Esha (North).
Since East and South Morning slots are taken by Divya and Farooq respectively, Esha must occupy the remaining North Morning slot.

Anahtar Kavram

Multi-attribute matrix puzzle and shift capacity constraints
Tahmini Süre:2m 30s
Soru 303Soru

A cyclist starts from point PP facing East. She rides 15 km15\text{ km} due East to reach checkpoint QQ. At checkpoint QQ, she turns 135135^\circ to her left and rides 102 km10\sqrt{2}\text{ km} to reach checkpoint RR. From checkpoint RR, she turns 135135^\circ to her right and rides 7 km7\text{ km} due East to reach checkpoint SS. Finally, she turns 9090^\circ to her right and rides 5 km5\text{ km} to reach destination TT.

What is the shortest distance between her starting point PP and final destination TT, and in which direction is destination TT relative to starting point PP?

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Cevap: 13 km13\text{ km}, North-East

Cevap

13 km13\text{ km}, North-East
By placing the start point at the origin (0,0)(0,0), the movement sequence produces the following coordinates: Q(15,0)R(5,10)S(12,10)T(12,5)Q(15,0) \rightarrow R(5,10) \rightarrow S(12,10) \rightarrow T(12,5). The Euclidean distance between (0,0)(0,0) and (12,5)(12,5) is 122+52=13 km\sqrt{12^2 + 5^2} = 13\text{ km}. Since both x and y coordinates of TT are positive relative to PP, the direction of TT from PP is North-East.

Adım Adım Çözüm

1
Set up coordinate axis with point PP at origin (0,0)(0,0).
Initial position P=(0,0)P = (0,0). Initial facing direction = East (00^\circ).
Establishing a standard Cartesian system makes vector tracking systematic.
2
Calculate position after moving 15 km15\text{ km} East to QQ.
Position of Q=(15,0)Q = (15, 0), facing East.
Displacement is purely along the positive x-axis.
3
Calculate position after turning 135135^\circ left (North-West) and riding 102 km10\sqrt{2}\text{ km} to RR.
Horizontal change Δx=102cos(135)=10 km\Delta x = 10\sqrt{2} \cos(135^\circ) = -10\text{ km}; Vertical change Δy=102sin(135)=+10 km\Delta y = 10\sqrt{2} \sin(135^\circ) = +10\text{ km}. Position of R=(1510,0+10)=(5,10)R = (15 - 10, 0 + 10) = (5, 10), facing North-West.
Turning 135135^\circ left from East points towards North-West (135135^\circ standard angle).
4
Calculate position after turning 135135^\circ right (East) and riding 7 km7\text{ km} to SS.
Position of S=(5+7,10)=(12,10)S = (5 + 7, 10) = (12, 10), facing East.
Turning 135135^\circ right from North-West re-orients facing direction due East.
5
Calculate position after turning 9090^\circ right (South) and riding 5 km5\text{ km} to destination TT.
Position of T=(12,105)=(12,5)T = (12, 10 - 5) = (12, 5).
Turning 9090^\circ right from East faces South (negative y-direction).
6
Calculate shortest distance PTPT and relative direction of TT from P(0,0)P(0,0).
Distance PT=(120)2+(50)2=144+25=169=13 kmPT = \sqrt{(12 - 0)^2 + (5 - 0)^2} = \sqrt{144 + 25} = \sqrt{169} = 13\text{ km}. Since x=+12x = +12 and y=+5y = +5, TT lies in the North-East quadrant from PP.
Applying the Pythagorean theorem gives the straight-line displacement.

Anahtar Kavram

Direction and Distance Test - Multi-Turn Vector Displacement and Pythagorean Theorem
Tahmini Süre:1m 30s
Soru 304Soru

Five officers — Arjun, Bina, Chandan, Deepa, and Ehsaan — represent five different departments: Finance, Health, Home, Revenue, and Transport. They are assigned to three committees: Committee X, Committee Y, and Committee Z such that each committee has at least one officer and at most two officers. The following conditions apply:

• Arjun is assigned to Committee X, but he is not from the Finance or Health department.
• The officer from the Revenue department is in the same committee as Bina.
• Chandan is from the Transport department and is assigned to Committee Z.
• Deepa is not assigned to Committee X and is not from the Finance department.
• The officer from the Health department is in Committee Y along with the officer from the Home department.
• Ehsaan is from the Health department.

Which of the following statements is definitely correct?

Cevabı ve açıklamayı göster

Cevap: Arjun belongs to the Revenue department and is assigned to Committee X along with Bina.

Cevap

Arjun belongs to the Revenue department and is assigned to Committee X along with Bina.
By systematically evaluating committee capacities and negative constraints, Committee Y consists of Ehsaan (Health) and Deepa (Home). Committee Z consists solely of Chandan (Transport). Committee X consists of Arjun (Revenue) and Bina (Finance). Thus, the statement asserting Arjun is from Revenue and in Committee X with Bina is uniquely correct.

Adım Adım Çözüm

1
Identify known assignments and committee constraints.
Ehsaan is from Health. The Health officer (Ehsaan) and the Home officer are together in Committee Y. Thus, Committee Y has 2 officers: Ehsaan (Health) and [Home officer]. Chandan is from Transport and in Committee Z.
Direct deduction from clues regarding Ehsaan, Health, Home, and Chandan.
2
Determine the identity of the Home officer in Committee Y.
Deepa is the Home officer in Committee Y.
Arjun is in Committee X, Chandan is in Committee Z, and Ehsaan is Health in Y. The Home officer must be either Bina or Deepa. If Bina were the Home officer in Y, the Revenue officer would also have to be in Y (by clue 2), creating 3 members in Y which violates the maximum committee size of 2. Thus, Bina cannot be in Y, making Deepa the Home officer in Y.
3
Place Bina and determine committee distributions.
Bina is assigned to Committee X.
Committee Y is full with 2 members (Ehsaan and Deepa). If Bina were in Committee Z with Chandan (Transport), the Revenue officer would also be in Z, making Bina the Revenue officer. But then Arjun (in X) would have to be Finance, which violates clue 1. Hence, Bina must be in Committee X.
4
Assign remaining departments (Finance and Revenue) to Committee X officers (Arjun and Bina).
Arjun is from Revenue and Bina is from Finance, both in Committee X.
Clue 1 states Arjun cannot be from Finance. Therefore, Arjun is from Revenue, leaving Bina to be from Finance.

Anahtar Kavram

Multi-Constraint Matrix Elimination & Grouping
Soru 305Soru

Five civil service officers—A, B, C, D, and E—are ranked based on their performance evaluation scores. Officer C scored higher than Officer D but lower than Officer B. Officer A scored higher than Officer B. Officer E scored lower than Officer D. Arrange the five officers in descending order of their performance scores from highest to lowest.

Öğeleri doğru sıraya koymak için sürükleyin

Cevabı ve açıklamayı göster

Cevap

The correct sequence from highest to lowest performance score is Officer A, Officer B, Officer C, Officer D, and Officer E.
By combining all relative clues: Officer A scored higher than B, B scored higher than C, C scored higher than D, and D scored higher than E. Thus, the descending sequence of scores is Officer A, Officer B, Officer C, Officer D, and Officer E.

Adım Adım Çözüm

1
Analyze the relationship between C, D, and B from the clues.
Officer B > Officer C > Officer D
Officer C scored higher than D but lower than B.
2
Integrate Officer A's score relative to Officer B.
Officer A > Officer B > Officer C > Officer D
Officer A scored higher than B.
3
Integrate Officer E's score relative to Officer D.
Officer A > Officer B > Officer C > Officer D > Officer E
Officer E scored lower than D.

Anahtar Kavram

Linear Relative Ranking and Deductive Ordering
Soru 306Soru

Five inspectors—Karan, Latika, Manish, Neha, and Om—are to be deployed to two inspection zones: North Zone and South Zone. Exactly three inspectors must be assigned to the North Zone, and exactly two inspectors to the South Zone, adhering to the following conditions:
1. Karan and Latika must be assigned to the same zone.
2. Manish and Neha cannot be assigned to the same zone.
3. Om is assigned to the South Zone.
4. If Neha is assigned to the North Zone, then Latika must be assigned to the South Zone.

Which of the following inspectors is assigned to the South Zone along with Om?

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Cevap: Neha

Cevap

Neha is assigned to the South Zone along with Om.
Since Om is in the South Zone (capacity 2), placing Karan and Latika together in the South Zone would exceed capacity, so Karan and Latika must be in the North Zone. Since Latika is in the North Zone, the conditional statement dictates that Neha cannot be in the North Zone (by contrapositive). Thus, Neha is assigned to the South Zone with Om.

Adım Adım Çözüm

1
Analyze zone capacities and Om's placement
Om is in the South Zone. The South Zone requires 2 inspectors (1 spot remaining), and the North Zone requires 3 inspectors.
Om's assignment is explicitly given in condition 3.
2
Determine the placement of Karan and Latika
Karan and Latika must be assigned to the North Zone.
Condition 1 states they must be in the same zone. Placing both in the South Zone alongside Om would result in 3 inspectors in the South Zone, violating the capacity limit of 2.
3
Evaluate Neha's placement using conditional logic
Neha must be assigned to the South Zone.
Condition 4 states: 'If Neha is in North Zone, then Latika must be in South Zone'. Since Latika is in the North Zone (consequent is false), contrapositive reasoning implies Neha cannot be in the North Zone (antecedent must be false).
4
Assign the remaining inspector, Manish
Manish is assigned to the North Zone.
Condition 2 states Manish and Neha cannot be in the same zone, and the North Zone requires one more inspector to complete its quota of 3.

Anahtar Kavram

Analytical Grouping and Logical Deduction
Soru 307Soru

Match each observed socio-economic or environmental phenomenon in Set I with its primary underlying cause or driving factor in Set II based on logical cause-and-effect reasoning. Which of the following pairings correctly connects each phenomenon with its primary causal factor?

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

A sharp decline in agricultural productivity accompanied by severe rural debt escalation in a coastal agrarian province during a non-drought year.
A sudden, unseasonal surge in urban retail inflation for essential perishable commodities coupled with artificial supply bottlenecks across metropolitan wholesale hubs.
An abrupt drop in groundwater table levels alongside high concentrations of soil salinity across inland river basin districts.
A widespread shift of small-scale industrial manufacturing units from suburban industrial corridors to adjacent rural administrative zones.

Eşleşmeler

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Cevap

The correct pairings are: Coastal agricultural decline pairs with sub-surface seawater intrusion into coastal aquifers; Urban retail inflation spike pairs with speculative hoarding by market intermediary cartels; Inland groundwater table drop pairs with unregulated deep groundwater extraction for cash crops; Industrial manufacturing unit relocation pairs with differential municipal tax structures and environmental compliance standards.
Each phenomenon has a specific, logically sufficient root cause: coastal agricultural failure in non-drought conditions is caused by saline seawater intrusion into aquifers; artificial urban price inflation of perishables is caused by cartel speculative hoarding; inland river basin groundwater drop is caused by water-intensive cash crop over-extraction; and suburban-to-rural industrial migration is driven by municipal tax and environmental compliance differentials.

Adım Adım Çözüm

1
Analyze the geographical and ecological context of the first phenomenon (coastal decline in a non-drought year).
Rule out weather-driven drought; identify coastal aquifer over-extraction leading to saline seawater intrusion as the root cause of soil ruin.
Coastal agricultural failure without drought indicates salt contamination from marine aquifer intrusion.
2
Analyze the economic market structure of the second phenomenon (unseasonal urban perishable commodity price surge with artificial bottlenecks).
Connect artificial shortages and unseasonal price hikes directly to intermediary market manipulation and speculative hoarding.
Artificial bottlenecks in wholesale hubs point to market conduct issues rather than primary production failures.
3
Examine the inland hydro-geological phenomenon (inland groundwater drop and soil salinity).
Relate deep water table fall and inland salinization to over-pumping for water-intensive crops combined with poor drainage.
Heavy water-intensive farming in river basins leads to water table decline and brings deep mineral salts to the surface via capillary action.
4
Evaluate the administrative and spatial economic shift of industrial units (suburban to rural relocation).
Identify regulatory arbitrage—specifically municipal tax differences and urban environmental standards—as the driving cause.
Industries move across administrative borders to escape higher municipal compliance costs and urban environmental regulations.

Anahtar Kavram

Analytical Cause and Effect Reasoning in Socio-Economic and Environmental Governance
Soru 308Soru

Five regional directors—Dev, Esha, Farhan, Gita, and Harish—are to be assigned to inspect three infrastructure zones: North, Central, and South. Each director specializes in exactly one domain: Railways, Highways, or Power.

The assignments must satisfy the following conditions:
1. Every zone must be inspected by at least one director, but no zone can be assigned more than two directors.
2. Dev and Harish inspect the same zone, but neither of them inspects the North zone.
3. Esha and Gita inspect different zones, and neither of them is assigned to the South zone.
4. Exactly two directors specialize in Railways, two in Highways, and one in Power.
5. No two directors inspecting the same zone share the same domain expertise.
6. The Power expert is assigned to inspect the South zone.
7. Dev specializes in Railways, while Gita specializes in Highways.

Based on the information above, which of the following statements must be conclusively TRUE?

Cevabı ve açıklamayı göster

Cevap: Harish specializes in Power and is assigned to the South zone.

Cevap

Harish specializes in Power and is assigned to the South zone.
Evaluating the capacity bounds forces Dev and Harish into the South zone to avoid exceeding two directors in Central. Since South contains Dev (Railways) and must contain the single Power expert, Harish is conclusively identified as the Power expert in South.

Adım Adım Çözüm

1
Determine zone assignments for Dev and Harish.
Dev and Harish are assigned to the South zone.
Condition 2 states Dev and Harish are together and not in North, so they must be in Central or South. Condition 3 places Esha and Gita in different zones among North and Central (neither in South), meaning exactly one of {Esha, Gita} is in Central. If Dev and Harish were in Central, Central would have 3 directors, violating the max 2 limit (Condition 1). Thus, Dev and Harish must be in South.
2
Determine the domain expertise of Harish.
Harish specializes in Power.
South has exactly two directors: Dev and Harish. Condition 6 states the Power expert inspects South. Condition 7 states Dev specializes in Railways. Condition 5 dictates no two directors in the same zone share expertise. Therefore, Harish must be the Power expert in South.

Anahtar Kavram

Multi-constraint grouping and deduction with capacity limits
Soru 309Soru

At sunrise, an agricultural inspector standing at the entrance gate of a research facility observes that his shadow is cast directly behind him. Maintaining this initial facing direction, he walks 10 m10\text{ m} straight ahead. He then turns 135135^\circ clockwise and walks 82 m8\sqrt{2}\text{ m}. Next, he turns 135135^\circ anti-clockwise and walks 10 m10\text{ m}. Finally, he turns left and walks 3 m3\text{ m} to reach the observation station. What is the shortest distance between his starting position and the observation station, and in which direction is the observation station relative to his starting position?

Cevabı ve açıklamayı göster

Cevap: 13 m13\text{ m}, South-East

Cevap

The shortest distance between the starting position and the observation station is 13 m13\text{ m}, and its direction relative to the starting point is South-East.
At sunrise, the sun rises in the East, so a shadow cast directly behind a person indicates that the person is facing East. Starting from the origin (0,0)(0,0) facing East: walking 10 m10\text{ m} East reaches (10,0)(10,0). Turning 135135^\circ clockwise redirects the path towards South-West; moving 82 m8\sqrt{2}\text{ m} in this direction subtracts 8 m8\text{ m} from both xx and yy coordinates, reaching (2,8)(2,-8). Turning 135135^\circ anti-clockwise restores facing East; walking 10 m10\text{ m} East moves the location to (12,8)(12,-8). Finally, turning left faces North, and walking 3 m3\text{ m} North brings the final position to (12,5)(12,-5). Applying the Pythagorean theorem yields 122+(5)2=13 m\sqrt{12^2 + (-5)^2} = 13\text{ m}. Because the final position has a positive East component (+12+12) and a negative North component (5-5, which is South), the direction relative to the start is South-East.

Adım Adım Çözüm

1
Determine initial facing direction from shadow scenario
At sunrise, the Sun is in the East. If a person's shadow is cast directly behind him, he must be facing East.
Light rays coming from the East cast shadows pointing West (opposite direction).
2
Trace movements using Cartesian coordinates starting from origin O(0,0)O(0, 0)
Step 1: Walk 10 m10\text{ m} East P1=(10,0)\rightarrow P_1 = (10, 0). Facing East (00^\circ).
Step 2: Turn 135135^\circ clockwise \rightarrow Facing South-West (225225^\circ). Walk 82 m8\sqrt{2}\text{ m} SW:
Δx=82cos(45)=8\Delta x = -8\sqrt{2} \cos(45^\circ) = -8, Δy=82sin(45)=8\Delta y = -8\sqrt{2} \sin(45^\circ) = -8.
New position P2=(108,08)=(2,8)P_2 = (10 - 8, 0 - 8) = (2, -8).
Step 3: Turn 135135^\circ anti-clockwise from SW \rightarrow Facing East (00^\circ). Walk 10 m10\text{ m} East:
New position P3=(2+10,8)=(12,8)P_3 = (2 + 10, -8) = (12, -8).
Step 4: Turn left from East \rightarrow Facing North (9090^\circ). Walk 3 m3\text{ m} North:
Final position P4=(12,8+3)=(12,5)P_4 = (12, -8 + 3) = (12, -5).
Breaking down movements into orthogonal vector components (xx for East-West, yy for North-South) allows exact calculation of net displacement.
3
Calculate shortest straight-line distance and relative direction
Net coordinates = (12,5)(12, -5).
Shortest distance d=122+(5)2=144+25=169=13 md = \sqrt{12^2 + (-5)^2} = \sqrt{144 + 25} = \sqrt{169} = 13\text{ m}.
Since x>0x > 0 (East) and y<0y < 0 (South), the final location is South-East of the starting point.
The Pythagorean theorem gives the displacement magnitude, and coordinate signs determine the directional quadrant.

Anahtar Kavram

Direction and Distance Test with Angular Rotations and Implicit Shadow Directions
Tahmini Süre:2m 30s
Soru 310Soru

Six urban planning specialists—Alok, Bina, Charan, Divya, Farooq, and Geeta—are divided into two three-member committees, Committee Alpha and Committee Beta, to work on municipal initiatives. Each committee must contain exactly one specialist from each of three domains: Smart Transportation, Green Energy, and Waste Management. Furthermore, each committee must include at least one Senior specialist and at least one Junior specialist.

The following details are known:
1. Alok is a Senior specialist in Smart Transportation, and Bina is a Junior specialist in Green Energy.
2. Alok and Bina are assigned to the same committee.
3. Farooq is a Junior specialist in Green Energy and is assigned to Committee Beta.
4. Charan (Senior) and Divya (Junior) both specialize in Waste Management.
5. Geeta is a Senior specialist in Smart Transportation.
6. Divya is not assigned to the same committee as Farooq.

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

Geçerli olan tümünü seçin

Cevabı ve açıklamayı göster

Cevap: Committee Alpha consists of Alok, Bina, and Divya.; Committee Beta includes exactly two Senior specialists.

Cevap

The statements confirming that Committee Alpha consists of Alok, Bina, and Divya, and that Committee Beta includes exactly two Senior specialists are both correct.
Deducing the full grouping reveals that Committee Alpha consists of Alok (Senior, ST), Bina (Junior, GE), and Divya (Junior, WM), while Committee Beta contains Geeta (Senior, ST), Farooq (Junior, GE), and Charan (Senior, WM). Consequently, the statement claiming Committee Alpha consists of Alok, Bina, and Divya is true, and the statement that Committee Beta includes exactly two Senior specialists (Geeta and Charan) is also true.

Adım Adım Çözüm

1
Analyze domain distribution across teams.
Each committee must have 1 Smart Transportation (ST), 1 Green Energy (GE), and 1 Waste Management (WM).
This establishes structural placement for each domain.
2
Assign Green Energy specialists based on clues.
Farooq (Junior, GE) is in Committee Beta. Thus, Bina (Junior, GE) must be in Committee Alpha.
Each committee requires exactly one GE specialist.
3
Assign Smart Transportation specialists using co-location clues.
Alok (Senior, ST) is with Bina in Committee Alpha. Geeta (Senior, ST) must therefore be in Committee Beta.
Alok and Bina are in the same committee, leaving Geeta as the remaining ST specialist for Beta.
4
Assign Waste Management specialists using negative constraint.
Divya (Junior, WM) cannot be with Farooq, so Divya is in Committee Alpha. Charan (Senior, WM) goes to Committee Beta.
Divya is restricted from Committee Beta.
5
Verify complete committee compositions and seniority counts.
Committee Alpha = Alok (Senior, ST), Bina (Junior, GE), Divya (Junior, WM) [1 Senior, 2 Juniors]. Committee Beta = Geeta (Senior, ST), Farooq (Junior, GE), Charan (Senior, WM) [2 Seniors, 1 Junior].
Confirms both seniority and domain rules are satisfied.

Anahtar Kavram

Multi-attribute analytical grouping with domain and seniority constraints
Soru 311Soru

Four municipal inspectors—Farhan, Geeta, Harish, and Ira��are allocated to monitor four distinct municipal wards: Ward 1, Ward 2, Ward 3, and Ward 4, such that each inspector monitors exactly one ward.

- Farhan is assigned to Ward 3.
- Geeta is assigned to an even-numbered ward, but not Ward 4.
- Harish is assigned to Ward 1.

Based on the given information, which ward is Ira assigned to?

Cevabı ve açıklamayı göster

Cevap: Ward 4

Cevap

Ward 4
By following simple elimination: Harish takes Ward 1 and Farhan takes Ward 3. The even-numbered wards are 2 and 4; since Geeta is not in Ward 4, Geeta must be in Ward 2. This leaves Ward 4 as the uniquely available ward for Ira.

Adım Adım Çözüm

1
Identify direct ward assignments from the given clues.
Farhan is assigned to Ward 3, and Harish is assigned to Ward 1.
These two statements provide explicit one-to-one matches.
2
Deduce Geeta's assigned ward by process of elimination.
Geeta is assigned to Ward 2.
The even-numbered wards are Ward 2 and Ward 4. Since Geeta cannot be in Ward 4, Geeta must be assigned to Ward 2.
3
Determine Ira's ward assignment by elimination of all filled positions.
Ira is assigned to Ward 4.
Wards 1, 2, and 3 are already assigned to Harish, Geeta, and Farhan respectively. The only unassigned ward left for Ira is Ward 4.

Anahtar Kavram

Analytical Grouping and Deductive Elimination
Soru 312Soru

Match each multi-step movement track in List I with its corresponding net displacement vector (shortest distance and direction from the starting point) in List II.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Track I: Starting facing North, a field surveyor turns 4545^\circ right and walks 122 m12\sqrt{2}\text{ m}, then turns 135135^\circ right and walks 20 m20\text{ m}, and finally turns 9090^\circ left and walks 3 m3\text{ m}.
Track II: A drone flies 16 m16\text{ m} due East, turns 9090^\circ left and flies 18 m18\text{ m}, turns 135135^\circ left and flies 102 m10\sqrt{2}\text{ m}, turns 135135^\circ right and flies 4 m4\text{ m}, and finally turns 9090^\circ left and flies 6 m6\text{ m}.
Track III: At sunrise, a traveler walks 15 m15\text{ m} directly towards his shadow, turns 9090^\circ right and walks 9 m9\text{ m}, and then turns 135135^\circ right and walks 152 m15\sqrt{2}\text{ m}.
Track IV: A security officer walks 5 m5\text{ m} due South, turns 4545^\circ left and walks 122 m12\sqrt{2}\text{ m}, turns 135135^\circ left and walks 22 m22\text{ m}, and finally turns 9090^\circ left and walks 7 m7\text{ m}.

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Track I matches with 17 m, South-East; Track II matches with 12 m, North; Track III matches with 6 m, South; Track IV matches with 5√2 m, North-East.
Each movement track is correctly paired with its net displacement vector by projecting sequential movements onto a standard Cartesian coordinate grid: Track I resolves to (15, -8) which is 17 m South-East; Track II resolves to (0, 12) which is 12 m North; Track III resolves to (0, -6) which is 6 m South; Track IV resolves to (5, 5) which is 5√2 m North-East.

Adım Adım Çözüm

1
Decompose Track I using Cartesian coordinates.
Path vector components: (+12,+12)+(0,20)+(+3,0)=(+15,8)(+12, +12) + (0, -20) + (+3, 0) = (+15, -8). Distance = 152+(8)2=17 m\sqrt{15^2 + (-8)^2} = 17\text{ m}, direction is South-East.
Resolving each angular turn into xx and yy displacements determines net position accurately.
2
Decompose Track II using Cartesian coordinates.
Path vector components: (+16,0)+(0,+18)+(10,10)+(0,+4)+(6,0)=(0,+12)(+16, 0) + (0, +18) + (-10, -10) + (0, +4) + (-6, 0) = (0, +12). Distance = 12 m12\text{ m}, direction is North.
Sequential tracking of direction changes ensures exact final location.
3
Determine initial cardinal direction for Track III using solar shadow properties, then resolve coordinates.
Sunrise shadow points West. Path vectors: (15,0)+(0,+9)+(+15,15)=(0,6)(-15, 0) + (0, +9) + (+15, -15) = (0, -6). Distance = 6 m6\text{ m}, direction is South.
The morning shadow implicitly fixes the initial movement along the negative x-axis.
4
Decompose Track IV using Cartesian coordinates.
Path vector components: (0,5)+(+12,12)+(0,+22)+(7,0)=(+5,+5)(0, -5) + (+12, -12) + (0, +22) + (-7, 0) = (+5, +5). Distance = 52+52=52 m\sqrt{5^2 + 5^2} = 5\sqrt{2}\text{ m}, direction is North-East.
Sub-cardinal movement vectors resolved via 2\sqrt{2} multiples simplify to exact integer Cartesian shifts.

Anahtar Kavram

Direction and Distance Test - Vector Decomposition and Relative Displacement
Soru 313Soru

Match each primary cause listed in List I with its direct logical effect in List II.

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Öğeler

Prolonged monsoon drought during the peak sowing season
Widespread adoption of digital payment systems across retail vendors
Rapid expansion of concrete roads without adequate drainage planning

Eşleşmeler

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Cevap

Prolonged monsoon drought matches with significant fall in agricultural crop output; widespread adoption of digital payment systems matches with substantial decrease in cash transactions; and rapid expansion of concrete roads without drainage matches with severe urban waterlogging.
Each item in List I represents a root cause that directly produces the corresponding physical or socio-economic effect in List II without requiring unstated assumptions.

Adım Adım Çözüm

1
Analyze the first cause regarding agricultural drought
Identify that lack of rainfall during sowing directly inhibits crop yield
Water scarcity directly impacts crop cultivation and output
2
Analyze the second cause regarding digital payment adoption
Identify that digitizing merchant transactions reduces physical cash usage
Electronic transaction channels serve as a direct replacement for currency notes
3
Analyze the third cause regarding road construction without drainage
Identify that non-porous surfaces without water outlets cause water accumulation
Unmanaged surface runoff leads directly to localized flooding and waterlogging

Anahtar Kavram

Cause and Effect Reasoning
Soru 314Soru

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

• Anand is the father of Bina.
• Bina is the sister of Chetan.
• Dipti is the mother of Chetan.
• Esha is the daughter of Bina.

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Öğeler

Anand
Bina
Chetan
Esha

Eşleşmeler

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Cevap

Anand matches with Husband; Bina matches with Daughter; Chetan matches with Son; Esha matches with Granddaughter.
Constructing the family tree reveals that Anand and Dipti are husband and wife. Their children are Bina (daughter) and Chetan (son). Bina's daughter is Esha, making Esha the granddaughter of Dipti.

Adım Adım Çözüm

1
Identify the parent-child relationships for Bina and Chetan
Anand is the father and Dipti is the mother of the sibling pair Bina and Chetan.
Since Bina and Chetan are siblings, they share the same parents.
2
Determine the relationship between Anand and Dipti
Anand is Dipti's husband.
Anand is the father and Dipti is the mother of Bina and Chetan.
3
Determine Bina and Chetan's relations to Dipti
Bina is the daughter and Chetan is the son of Dipti.
Bina is stated as a sister (female) and Chetan as a brother/sibling (male child of Dipti).
4
Determine Esha's relation to Dipti
Esha is Dipti's granddaughter.
Esha is the daughter of Bina, who is the daughter of Dipti.

Anahtar Kavram

Multi-generational Blood Relations Analysis
Soru 315Soru

An autonomous security robot performs test runs along four distinct patrol routes starting from a central command post at coordinate (0,0)(0,0). Match each multi-step movement route described in List-I with its corresponding net displacement (shortest straight-line distance and direction relative to the command post) in List-II.

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Öğeler

Route I: Moves 10 m10\text{ m} North, turns 9090^\circ right and moves 4 m4\text{ m}, then turns 135135^\circ right and moves 42 m4\sqrt{2}\text{ m}.
Route II: Moves 16 m16\text{ m} East, turns 9090^\circ left and moves 12 m12\text{ m}, then turns 9090^\circ left and moves 11 m11\text{ m}.
Route III: Moves 7 m7\text{ m} South, turns 9090^\circ right and moves 24 m24\text{ m}, then turns 9090^\circ right and moves 14 m14\text{ m}.
Route IV: Moves 12 m12\text{ m} West, turns 135135^\circ left and moves 82 m8\sqrt{2}\text{ m}, then turns 4545^\circ left and moves 4 m4\text{ m}.

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

Route I matches 6 m6\text{ m}, due North; Route II matches 13 m13\text{ m}, North-East; Route III matches 25 m25\text{ m}, North-West; Route IV matches 8 m8\text{ m}, due South.
Each patrol route resolves to a distinct final coordinate when tracked on a Cartesian plane where East/North are positive and West/South are negative. Route I reaches (0,6)(0,6), which is 6 m6\text{ m} due North. Route II reaches (5,12)(5,12), giving a distance of 52+122=13 m\sqrt{5^2+12^2}=13\text{ m} North-East. Route III reaches (24,7)(-24,7), giving a distance of (24)2+72=25 m\sqrt{(-24)^2+7^2}=25\text{ m} North-West. Route IV reaches (0,8)(0,-8), which is 8 m8\text{ m} due South.

Adım Adım Çözüm

1
Calculate net coordinates for Route I
Path vector: North 10 m(0,10)10\text{ m} \rightarrow (0,10). Right turn (9090^\circ East) 4 m(4,10)4\text{ m} \rightarrow (4,10). Right turn (135135^\circ South-West) for 42 mΔx=42cos45=44\sqrt{2}\text{ m} \rightarrow \Delta x = -4\sqrt{2}\cos 45^\circ = -4, Δy=42sin45=4\Delta y = -4\sqrt{2}\sin 45^\circ = -4. Final coordinate: (44,104)=(0,6)(4-4, 10-4) = (0,6). Displacement: 6 m6\text{ m} North.
Decompose angular motion into horizontal and vertical components.
2
Calculate net coordinates for Route II
Path vector: East 16 m(16,0)16\text{ m} \rightarrow (16,0). Left turn (9090^\circ North) 12 m(16,12)12\text{ m} \rightarrow (16,12). Left turn (9090^\circ West) 11 m(5,12)11\text{ m} \rightarrow (5,12). Distance =52+122=13 m= \sqrt{5^2 + 12^2} = 13\text{ m}. Direction: positive x and positive y indicate North-East.
Apply the Pythagorean theorem x2+y2\sqrt{x^2 + y^2} to find straight-line distance.
3
Calculate net coordinates for Route III
Path vector: South 7 m(0,7)7\text{ m} \rightarrow (0,-7). Right turn (9090^\circ West) 24 m(24,7)24\text{ m} \rightarrow (-24,-7). Right turn (9090^\circ North) 14 m(24,7)14\text{ m} \rightarrow (-24, 7). Distance =(24)2+72=576+49=25 m= \sqrt{(-24)^2 + 7^2} = \sqrt{576 + 49} = 25\text{ m}. Direction: negative x and positive y indicate North-West.
Sum vertical displacements (7+14=+7)(-7 + 14 = +7) and horizontal displacement (24)(-24) to resolve net position.
4
Calculate net coordinates for Route IV
Path vector: West 12 m(12,0)12\text{ m} \rightarrow (-12,0). Left turn (135135^\circ South-East) for 82 mΔx=+82cos45=+88\sqrt{2}\text{ m} \rightarrow \Delta x = +8\sqrt{2}\cos 45^\circ = +8, Δy=82sin45=8(4,8)\Delta y = -8\sqrt{2}\sin 45^\circ = -8 \rightarrow (-4,-8). Left turn (4545^\circ East) 4 m(4+4,8)=(0,8)4\text{ m} \rightarrow (-4+4, -8) = (0,-8). Displacement: 8 m8\text{ m} South.
Calculate exact component breakdown for sub-cardinal movement vector.

Anahtar Kavram

Direction and Distance Test - Coordinate Vector Resolution
Soru 316Soru

The following criteria are set for recruiting a Junior Environmental Inspector in a Municipal Corporation as of July 1, 2026:

1. The candidate must hold a Bachelor's degree in Environmental Science with a minimum of 60%60\% marks.
2. The candidate must be between 21 and 30 years of age (inclusive) as of July 1, 2026.
3. The candidate must possess at least 1 year of work experience in environmental management.

However, if a candidate satisfies all criteria except:
- Criterion (1) above, but holds a Master's degree in Environmental Science with at least 65%65\% marks, the case is to be referred to the Executive Engineer.
- Criterion (3) above, but has completed a 6-month specialized diploma in Waste Management, the case is to be referred to the Selection Board.

Candidate Profile: Ankit was born on May 15, 1999. He completed his Bachelor's degree in Environmental Science with 58%58\% marks and a Master's degree in Environmental Science with 68%68\% marks. He has 2 years of work experience in environmental management.

Based on the criteria provided, what decision should be taken regarding Ankit's candidature?

Cevabı ve açıklamayı göster

Cevap: The case should be referred to the Executive Engineer.

Cevap

The case should be referred to the Executive Engineer.
The candidate meets the age eligibility requirement of 27 years and has 2 years of experience, exceeding the required 1 year. Although his Bachelor's degree score of 58%58\% falls short of the 60%60\% requirement, his Master's degree score of 68%68\% meets the exception threshold of at least 65%65\% for Criterion (1), making referral to the Executive Engineer the prescribed procedural action.

Adım Adım Çözüm

1
Check Age Criterion
Born May 15, 1999; age on July 1, 2026 is 27 years, which satisfies the range 21 to 30 years.
Verify compliance with basic age eligibility.
2
Check Work Experience Criterion
Possesses 2 years of experience, which satisfies the minimum requirement of 1 year.
Verify compliance with experience criteria.
3
Check Educational Criteria and Exception Clauses
Bachelor's score is 58%58\%, falling short of 60%60\%. However, Master's score is 68%68\%, satisfying the exception clause for Criterion (1).
Determine if the candidate meets primary criteria or qualifies under an exception clause.

Anahtar Kavram

Analytical Decision Making and Criteria Selection
Tahmini Süre:1m 0s
Soru 317Soru

A surveyor mapping a nature reserve starts from a base station. He walks 14 km14\text{ km} due East, turns 9090^\circ to his right, and walks 20 km20\text{ km}. Next, he turns 135135^\circ to his left and walks 102 km10\sqrt{2}\text{ km}. Finally, he turns 4545^\circ to his left and walks 3 km3\text{ km} due North to reach an observation point. What is the shortest straight-line distance (in km) between the base station and the observation point?

Cevabı ve açıklamayı göster

Cevap: 25

Cevap

The shortest straight-line distance between the base station and the observation point is 25 km.
Resolving each displacement into Cartesian coordinates gives a net horizontal displacement of Δx=14+10=24 km\Delta x = 14 + 10 = 24\text{ km} (East) and a net vertical displacement of Δy=20+10+3=7 km\Delta y = -20 + 10 + 3 = -7\text{ km} (South). Applying the Pythagorean theorem yields 242+(7)2=625=25 km\sqrt{24^2 + (-7)^2} = \sqrt{625} = 25\text{ km}.

Adım Adım Çözüm

1
Establish a Cartesian coordinate system with the base station as the origin (0,0)(0,0).
Initial coordinates are (0,0)(0,0) facing East.
Assigning coordinates simplifies multi-turn vector displacement tracking.
2
Calculate coordinates after moving 14 km14\text{ km} East, turning 9090^\circ right (facing South), and walking 20 km20\text{ km}.
Position is (14,20)(14, -20) facing South.
Moving East adds 1414 to the x-coordinate, and moving South subtracts 2020 from the y-coordinate.
3
Resolve the 102 km10\sqrt{2}\text{ km} walk after a 135135^\circ left turn from South into components.
Facing North-East, displacement components are +10 km+10\text{ km} East and +10 km+10\text{ km} North, yielding coordinates (24,10)(24, -10).
Turning 135135^\circ left from South points directly North-East (4545^\circ north of east). The components are 102cos(45)=10 km10\sqrt{2}\cos(45^\circ) = 10\text{ km} East and 102sin(45)=10 km10\sqrt{2}\sin(45^\circ) = 10\text{ km} North.
4
Update coordinates after turning 4545^\circ left from North-East (facing North) and walking 3 km3\text{ km}.
Final position is (24,10+3)=(24,7)(24, -10 + 3) = (24, -7).
A 4545^\circ left turn aligns the direction due North, adding 3 km3\text{ km} to the y-coordinate.
5
Calculate the straight-line displacement from (0,0)(0,0) to (24,7)(24, -7) using the distance formula.
Distance d=242+(7)2=576+49=625=25 kmd = \sqrt{24^2 + (-7)^2} = \sqrt{576 + 49} = \sqrt{625} = 25\text{ km}.
The shortest distance between origin and final point is given by d=Δx2+Δy2d = \sqrt{\Delta x^2 + \Delta y^2}.

Anahtar Kavram

Direction and Distance Test involving multi-turn vector resolution, angular rotations, and Pythagorean straight-line distance calculation.
Soru 318Soru

Pointing to a photograph of a man, Neha said, "He is the only son of my mother's husband." How is the man in the photograph related to Neha?

Cevabı ve açıklamayı göster

Cevap: Brother; brother

Cevap

The man in the photograph is Neha's brother.
Neha's mother's husband refers to Neha's father. The only son of Neha's father is her brother. Thus, the man in the photograph is Neha's brother.

Adım Adım Çözüm

1
Analyze the expression 'my mother's husband'.
Neha's mother's husband is her father.
In standard blood relation terminology, a mother's husband is the father.
2
Analyze the expression 'the only son of my father'.
The only son of Neha's father is her brother.
A male child of the same father is a brother.

Anahtar Kavram

Blood Relations - Pointing Narrative
Tahmini Süre:45s
Soru 319Soru

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

Statement I: The municipal administration enforced a 40% curtailment in the daily piped water supply to all residential and commercial zones across the metropolitan area.

Statement II: Two major thermal power generating plants situated along the regional river basin operated at less than half of their total power generation capacity.

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

Cevabı ve açıklamayı göster

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

Cevap

Both Statement I and Statement II are effects of a common cause.
The correct answer identifies that both statements represent parallel effects of a common root cause—namely, acute regional water deficit due to drought. Depleted water bodies force municipal bodies to ration drinking water and simultaneously compel thermal power stations to throttle electricity generation due to lack of cooling water.

Adım Adım Çözüm

1
Analyze Statement I
Statement I outlines municipal water rationing across residential and commercial sectors, which is a precautionary or reactive measure taken due to acute water scarcity.
Municipalities restrict water supply when primary storage reservoirs fall below threshold levels.
2
Analyze Statement II
Statement II describes a significant drop in power output from thermal power plants located along the river basin.
Thermal power plants require large volumes of water for condenser cooling, and reduced river flow forces plants to curtail generation.
3
Evaluate the Causal Connection
Statement I does not cause Statement II, nor does Statement II cause Statement I. Both simultaneous developments are consequences of a shared underlying condition: a severe drought leading to depleted river and reservoir levels across the region.
A common environmental factor (water basin depletion) independently impacts municipal supply capabilities and thermal power cooling capacity.

Anahtar Kavram

Common Cause Relationship in Logical Reasoning
Tahmini Süre:2m 0s
Soru 320Soru

Read the multi-generational family relationship details provided below and match each individual in Column I with their precise relation to UU in Column II:

1. PP is the husband of QQ, and they have only one child, TT, who is a male.
2. QQ is the mother-in-law of SS.
3. RR is the brother of SS.
4. UU is the daughter of TT.

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Öğeler

PP
QQ
RR
SS

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

The correct pairings are: PP matches with Paternal Grandfather, QQ matches with Paternal Grandmother, RR matches with Maternal Uncle, and SS matches with Mother.
Tracing the three generations reveals that PP and QQ are the paternal grandfather and grandmother of UU respectively because they are the parents of UU's father TT. SS is married to TT, making her UU's mother, and her brother RR is UU's maternal uncle.

Adım Adım Çözüm

1
Determine the parental lineage of UU
TT is the father of UU. PP (male) and QQ (female) are married and have TT as their only child. Therefore, PP is the father of TT and QQ is the mother of TT.
Establishing TT's parents determines the paternal grandparents of UU.
2
Identify SS's relationship to UU
QQ is the mother-in-law of SS, and TT is QQ's only child. Thus, SS must be married to TT. Since TT is male (father of UU), SS is female and is the mother of UU.
Connecting SS to TT establishes the maternal line for UU.
3
Determine the relationship of RR to UU
RR is given as the brother of SS. Since SS is the mother of UU, RR is the mother's brother.
A mother's brother is defined as a maternal uncle.
4
Synthesize and match each individual to their relation to UU
PP = Paternal Grandfather, QQ = Paternal Grandmother, RR = Maternal Uncle, SS = Mother.
Complete resolution of all generation gaps and gender specifications.

Anahtar Kavram

Multi-Generational Blood Relations and Gender Deduction
ÖncekiSayfa 16 / 25Sonraki
Logical Reasoning and Analytical Ability Alıştırma Soruları — State PSC Exam — Sayfa 16 | Examkin