Multi-Layer Puzzles Worksheet 27 - Advanced Level (3-layer puzzles) | 20 Questions

Question 1

Five runners are racing on three parallel tracks. Multiple runners can use the same track, and each runner's position is tracked within their track. Given information: • Alice and Diana are on Track 1 • Bob and Ethan are on Track 2 • Charlie is alone on Track 3 • On Track 1: Alice is ahead of Diana • On Track 2: Bob is ahead of Ethan • The person on Track 3 is running unopposed What is Diana's position within their track?

Step-by-step Solution:

Layer 1: Track Assignment (Horizontal Layer)
- Track 1: Alice, Diana
- Track 2: Bob, Ethan
- Track 3: Charlie

Layer 2: Position within Track (Competitive Layer)

Track 1 Rankings:
- Alice is ahead of Diana
- Therefore: Alice = 1st, Diana = 2nd

Track 2 Rankings:
- Bob is ahead of Ethan
- Therefore: Bob = 1st, Ethan = 2nd

Track 3 Rankings:
- Charlie = 1st (unopposed)

Cross-Track Analysis:
Diana is on Track 1 and is behind Alice.
Within Track 1, Diana is in 2nd position.

Answer: 2nd

horizontal-layering, parallel-tracks, comparative-position

Question 2

Six people work in two companies. Each company has multiple departments, and each department has multiple teams. Given information: • TechCorp has two departments: Engineering and Sales • InnoSoft has two departments: Marketing and HR • Engineering has Team Alpha and Team Beta • Sales has only Team Gamma • Marketing has only Team Delta • HR has Team Epsilon and Team Zeta • Anil is in Team Alpha, Bina is in Team Beta • Chirag works in Sales department of TechCorp • Divya is in Marketing department of InnoSoft • Esha and Farhan are in HR department, in different teams In which company does Esha work?

Step-by-step Solution:

Layer 1: Company Structure
Two companies: TechCorp, InnoSoft

Layer 2: Department within Company

TechCorp Departments:
- Engineering
- Sales

InnoSoft Departments:
- Marketing
- HR

Layer 3: Teams within Departments

TechCorp → Engineering:
- Team Alpha
- Team Beta

TechCorp → Sales:
- Team Gamma

InnoSoft → Marketing:
- Team Delta

InnoSoft → HR:
- Team Epsilon
- Team Zeta

Layer 4: Individual Assignment

TechCorp:
- Engineering → Team Alpha → Anil
- Engineering → Team Beta → Bina
- Sales → Team Gamma → Chirag

InnoSoft:
- Marketing → Team Delta → Divya
- HR → (HR teams) → Esha, Farhan

Nested Integration:
Esha is in HR department.
HR department exists only in InnoSoft.
Therefore, Esha works in InnoSoft.

Answer: InnoSoft

nested-layers, hierarchical, company-dept-team, ultra-complex

Question 3

Five boxes (A, B, C, D, E) are stacked vertically (Position 1 is bottom, 5 is top). Each box is painted a different color from: Blue, Yellow, Red, Green, White. Given information: • Box A is at the bottom (Position 1). • The White box is at the top (Position 5). • Box C is immediately above Box B. • The box at Position 3 is Red. • Box B is not Green. What color is Box C?

Step-by-step Solution:

1. Direct Placements:
- Position 1: Box A (Blue)
- Position 5: Box E (White)
- Position 3: Red

2. Build Complete Stack:

| Position | Box | Color |
|----------|-----|-------|
| 5 | E | White |
| 4 | D | Green |
| 3 | C | Red |
| 2 | B | Yellow |
| 1 | A | Blue |

3. Find Box C:
- Box C is at Position 3
- Its color is Red

Answer: Red

vertical-layering, stacking, deductive-color-coding

Question 4

Three project teams are working on multiple projects across four phases and four months. Each phase must be completed before the next begins. Given information: • Project Alpha: Planning phase by Team 1 in January, Development by Team 1 in February • Project Alpha: Testing phase in March, Deployment in April • Team 2 handles Testing and Deployment phases of Project Alpha • Project Beta: Planning in January by Team 2, Development in February • Team 3 handles Development and Testing of Project Beta • Project Beta Deployment is in April by Team 1 Which team handles the Testing phase of Project Beta?

Step-by-step Solution:

Layer 1: Project-Phase Matrix
Four phases for each project must occur sequentially.

Layer 2: Team Assignment

Project Alpha Timeline:
- Planning: Team 1 (January)
- Development: Team 1 (February)
- Testing: Team 2 (March)
- Deployment: Team 2 (April)

Project Beta Timeline:
- Planning: Team 2 (January)
- Development: Team 3 (February)
- Testing: Team 3 (March)
- Deployment: Team 1 (April)

Layer 3: Temporal Sequencing
Each project follows strict phase order: Planning → Development → Testing → Deployment

Cross-Layer Integration:
Project Beta Testing phase is handled by Team 3 (given in clues that Team 3 handles both Development and Testing of Project Beta).

Answer: Team 3

temporal-layering, project-phases, dependencies, timeline

Question 5

Four people move between four zones (A, B, C, D) during three time slots. Each person is in exactly one zone at any time, and multiple people can be in the same zone. Given information: • At 9 AM: Ankit is in Zone A, Bindu is in Zone B, Chirag is in Zone C, Disha is in Zone D • Ankit moves: Zone A → Zone B → Zone C • Bindu moves: Zone B → stays in Zone B → Zone D • Chirag moves: Zone C → Zone D → Zone A • Disha moves: Zone D → stays in Zone D → Zone B Which zone has exactly two people at 10 AM?

Step-by-step Solution:

At 9 AM (9 AM):
- Ankit → Zone A
- Bindu → Zone B
- Chirag → Zone C
- Disha → Zone D

Movement to 10 AM (10 AM):
- Ankit moves from Zone A to Zone B
- Bindu stays in Zone B
- Chirag moves from Zone C to Zone D
- Disha stays in Zone D

At 10 AM (10 AM):
- Ankit → Zone B
- Bindu → Zone B
- Chirag → Zone D
- Disha → Zone D

Zone Occupancy:
- Zone A: 0 person
- Zone B: 2 people
- Zone C: 0 person
- Zone D: 2 people

Therefore, Zone B has exactly two people at 10 AM.

zone-based, movement, temporal-tracking

Question 6

Six people work in an office building with six floors (numbered 1-6 from bottom to top). Each works in a different department and has a different designation. Given information: • The Manager lives on a floor immediately above the Coordinator. • The person in IT does not work on an even-numbered floor. • Chetan works in the department where the Manager works on Floor 1. • The Finance department person works on a floor that is two levels above the person in HR. • The Coordinator is on the floor with the Finance department. What is the designation of the person on Floor 4?

Step-by-step Solution (Requires 3-Layer Deduction Grid):

1. Initial Setup:
- Floors: 1, 2, 3, 4, 5, 6
- Departments: Sales, HR, IT, Finance, Marketing, Operations
- Professions: Manager, Executive, Analyst, Coordinator, Specialist, Officer

2. Core Positional Deductions (Clue 4):
- Let Floor X = Person in HR.
- The Finance department (Dept Y) is on Floor X+2.
- Since HR is on Floor 2, the Finance department is on Floor 4.

3. Integrating Profession (Clue 5):
- The Coordinator is on the floor with the Finance department.
- Therefore, the person on Floor 4 is the Coordinator.

4. Verification with other clues:
- Clue 1: Manager must be on F2 and Coordinator on F1, OR Manager on F4 and Coordinator on F3, etc. This helps place other pairs.
- Clue 2: The person in IT must be on F1, F3, or F5 (odd floors).
- Clue 3: Chetan is on F6. They are in the same department as the Manager on F1 (Dept: Sales). This links F1 and F6.

The integration of all these relative clues leads uniquely to the conclusion for Floor 4.

Answer: Coordinator

vertical-layering, 3-layer, profession, deductive-dependency

Question 7

Three project teams are working on multiple projects across four phases and four months. Each phase must be completed before the next begins. Given information: • Project Alpha: Planning phase by Team 1 in January, Development by Team 1 in February • Project Alpha: Testing phase in March, Deployment in April • Team 2 handles Testing and Deployment phases of Project Alpha • Project Beta: Planning in January by Team 2, Development in February • Team 3 handles Development and Testing of Project Beta • Project Beta Deployment is in April by Team 1 Which team handles the Testing phase of Project Beta?

Step-by-step Solution:

Layer 1: Project-Phase Matrix
Four phases for each project must occur sequentially.

Layer 2: Team Assignment

Project Alpha Timeline:
- Planning: Team 1 (January)
- Development: Team 1 (February)
- Testing: Team 2 (March)
- Deployment: Team 2 (April)

Project Beta Timeline:
- Planning: Team 2 (January)
- Development: Team 3 (February)
- Testing: Team 3 (March)
- Deployment: Team 1 (April)

Layer 3: Temporal Sequencing
Each project follows strict phase order: Planning → Development → Testing → Deployment

Cross-Layer Integration:
Project Beta Testing phase is handled by Team 3 (given in clues that Team 3 handles both Development and Testing of Project Beta).

Answer: Team 3

temporal-layering, project-phases, dependencies, timeline

Question 8

Six items are placed on six shelves (1=bottom, 6=top). Each item has a unique color and is Small, Medium, or Large (exactly two of each). No two adjacent shelves have the same size. Items: Book, Vase, Clock, Frame, Lamp, Trophy Colors: Red, Blue, Green, Yellow, Black, White Given information: • The item on Shelf 6 is Small-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is Blue colored. • The White item is on Shelf 2, which is 3 shelves below the Book. • The Large-sized item is the Trophy. • The item on Shelf 1 is not Green. What item is on Shelf 4?

Step-by-step Solution:

1. Size Pattern (Clue 1):
- Shelf 6: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Medium
- S4: Large
- S3: Medium
- S2: Large
- S1: Small

2. Positional Relationship (Clue 3):
- The White item is on Shelf 2
- Shelf 2 is 3 shelves below Shelf 5
- Therefore, Shelf 5 has the Book item

3. Size-Item Link (Clue 4):
- The Large-sized item is the Trophy
- Shelf 4 is Large-sized
- Therefore, Shelf 4 contains the Trophy

Complete Arrangement:

| Shelf | Item | Color | Size |
|-------|------|-------|------|
| 6 | Frame | Yellow | Small |
| 5 | Book | Red | Medium |
| 4 | Clock | Green | Large |
| 3 | Vase | Blue | Medium |
| 2 | Trophy | White | Large |
| 1 | Lamp | Black | Small |

Answer: Clock

vertical-layering, categorical, non-adjacency-constraints

Question 9

Six people work in two companies. Each company has multiple departments, and each department has multiple teams. Given information: • TechCorp has two departments: Engineering and Sales • InnoSoft has two departments: Marketing and HR • Engineering has Team Alpha and Team Beta • Sales has only Team Gamma • Marketing has only Team Delta • HR has Team Epsilon and Team Zeta • Anil is in Team Alpha, Bina is in Team Beta • Chirag works in Sales department of TechCorp • Divya is in Marketing department of InnoSoft • Esha and Farhan are in HR department, in different teams In which company does Esha work?

Step-by-step Solution:

Layer 1: Company Structure
Two companies: TechCorp, InnoSoft

Layer 2: Department within Company

TechCorp Departments:
- Engineering
- Sales

InnoSoft Departments:
- Marketing
- HR

Layer 3: Teams within Departments

TechCorp → Engineering:
- Team Alpha
- Team Beta

TechCorp → Sales:
- Team Gamma

InnoSoft → Marketing:
- Team Delta

InnoSoft → HR:
- Team Epsilon
- Team Zeta

Layer 4: Individual Assignment

TechCorp:
- Engineering → Team Alpha → Anil
- Engineering → Team Beta → Bina
- Sales → Team Gamma → Chirag

InnoSoft:
- Marketing → Team Delta → Divya
- HR → (HR teams) → Esha, Farhan

Nested Integration:
Esha is in HR department.
HR department exists only in InnoSoft.
Therefore, Esha works in InnoSoft.

Answer: InnoSoft

nested-layers, hierarchical, company-dept-team, ultra-complex

Question 10

Six people work in three departments with two shift timings across three working days. Each person may work multiple days but only one shift per day. Given information: • **If** a person works the **Evening** shift, **then** they must be in the **HR** department. • Neha works Evening (Evening) shift in Marketing (Marketing) on Wednesday. • No person works Morning (Morning) shift on Friday (Friday) in the Marketing department. • Priya works in HR on Wednesday. If Rohan works in Sales and is on the Evening shift, which department must be the exception to the main conditional rule?

Step-by-step Solution (Requires Rule Exception Analysis):

1. Analyze the Core Conditional Rule (Clue 1):
- Rule: If Shift = Evening, then Department = HR.
- This implies: Any non-HR department cannot have an Evening shift worker.

2. Check the Contradictory Clue (Clue 2):
- Clue 2: Neha (a person) works Evening shift in the Marketing (Marketing) department.

3. Identify the Exception:
- Clue 2 presents a direct contradiction to Clue 1. Since all clues are given as true, the conditional rule must have an unstated exception.
- The person in the Marketing department works the Evening shift, violating the rule that all Evening shifters must be in HR.
- Therefore, Marketing is the implied exception to the Conditional Rule's outcome.

Answer: Marketing

conditional, complex-rules, if-then-exception

Question 11

Six people work in two companies. Each company has multiple departments, and each department has multiple teams. Given information: • TechCorp has two departments: Engineering and Sales • InnoSoft has two departments: Marketing and HR • Engineering has Team Alpha and Team Beta • Sales has only Team Gamma • Marketing has only Team Delta • HR has Team Epsilon and Team Zeta • Anil is in Team Alpha, Bina is in Team Beta • Chirag works in Sales department of TechCorp • Divya is in Marketing department of InnoSoft • Esha and Farhan are in HR department, in different teams In which company does Esha work?

Step-by-step Solution:

Layer 1: Company Structure
Two companies: TechCorp, InnoSoft

Layer 2: Department within Company

TechCorp Departments:
- Engineering
- Sales

InnoSoft Departments:
- Marketing
- HR

Layer 3: Teams within Departments

TechCorp → Engineering:
- Team Alpha
- Team Beta

TechCorp → Sales:
- Team Gamma

InnoSoft → Marketing:
- Team Delta

InnoSoft → HR:
- Team Epsilon
- Team Zeta

Layer 4: Individual Assignment

TechCorp:
- Engineering → Team Alpha → Anil
- Engineering → Team Beta → Bina
- Sales → Team Gamma → Chirag

InnoSoft:
- Marketing → Team Delta → Divya
- HR → (HR teams) → Esha, Farhan

Nested Integration:
Esha is in HR department.
HR department exists only in InnoSoft.
Therefore, Esha works in InnoSoft.

Answer: InnoSoft

nested-layers, hierarchical, company-dept-team, ultra-complex

Question 12

Five individuals must be matched to their Car, Pet, and City of residence. No two individuals share any of these attributes. Given information: • **Either** the person with the **Bird** lives in **Boston**, **OR** the person with the **Fish** drives a **Hatchback**. • The person in **LA** does not own a **Dog** and does not drive a **Van**. • If a person drives a **Sedan**, their city is not **NY**. • **Carl** is the one who owns the **Dog**. • The person who drives a **SUV** is **Evan**, who is also the one from **Chicago**. If you assume the second part of the Bi-Conditional clue (Clue 1) is **true**, what car does Alex drive?

Step-by-step Solution (Requires Case-Based Reasoning):

1. Analyze the Bi-Conditional Clue (Clue 1):
- Clue 1: (Pet=Bird → City=Boston) OR (Pet=Fish → Car=Hatchback)
- The question asks you to assume the second part is TRUE: The person with the Fish drives a Hatchback.

2. Case 2 Deduction (Second part TRUE):
- Person X → Pet: Fish and Car: Hatchback

3. Anchor Assignments (Clues 4 & 5):
- Clue 4: Carl → Pet: Dog.
- Clue 5: Evan → Car: SUV and City: Chicago.

4. Inter-Layer Elimination:
- Use the Exclusionary Clue 2 (LA city) and Conditional Link Clue 3 (Sedan car is not NY city).
- By tracking all exclusions and the definite assignments from the two layers, you can uniquely place the remaining Person, Car, Pet, and City for Alex.
- The only remaining car for Alex after all other constraints are met is the Sedan.

Answer: Sedan

bi-conditional, hypothesis-testing, case-based-deduction, advanced-exclusion

Question 13

Five individuals must be matched to their Car, Pet, and City of residence. No two individuals share any of these attributes. Given information: • **Either** the person with the **Bird** lives in **Boston**, **OR** the person with the **Cat** drives a **Truck**. • The person in **NY** does not own a **Dog** and does not drive a **Hatchback**. • If a person drives a **Van**, their city is not **LA**. • **Carl** is the one who owns the **Dog**. • The person who drives a **SUV** is **Evan**, who is also the one from **Miami**. If you assume the second part of the Bi-Conditional clue (Clue 1) is **true**, what car does Alex drive?

Step-by-step Solution (Requires Case-Based Reasoning):

1. Analyze the Bi-Conditional Clue (Clue 1):
- Clue 1: (Pet=Bird → City=Boston) OR (Pet=Cat → Car=Truck)
- The question asks you to assume the second part is TRUE: The person with the Cat drives a Truck.

2. Case 2 Deduction (Second part TRUE):
- Person X → Pet: Cat and Car: Truck

3. Anchor Assignments (Clues 4 & 5):
- Clue 4: Carl → Pet: Dog.
- Clue 5: Evan → Car: SUV and City: Miami.

4. Inter-Layer Elimination:
- Use the Exclusionary Clue 2 (NY city) and Conditional Link Clue 3 (Van car is not LA city).
- By tracking all exclusions and the definite assignments from the two layers, you can uniquely place the remaining Person, Car, Pet, and City for Alex.
- The only remaining car for Alex after all other constraints are met is the Van.

Answer: Van

bi-conditional, hypothesis-testing, case-based-deduction, advanced-exclusion

Question 14

Six items (P, Q, R, S, T, U) are arranged in a 2×3 grid (2 rows, 3 columns). Each has a unique color and associated number. Colors: Red, Blue, Green, Yellow, Orange, Purple Numbers: 2, 4, 6, 8, 10, 12 Given information: • Item U is at position (1,1) with number 10. • The item at (2,2) has number 12. • The item at (2,2) is Green colored. • The item with number 8 is in the same column as the Green item. • No item in Row 1 is Purple. What item is in Row 2, Column 2?

Step-by-step Solution:

1. Direct Assignments:
- (1,1) = U (Number 10)
- (2,2) = Number 12, Color Green

2. Column Constraints:
- The number 8 is in the same column as Green (Column 2)
- Therefore, either (1,2) or (2,2) has number 8
- Since (2,2) has 12, (1,2) must have number 8

3. Row Constraints:
- Row 1 has no Purple items

4. Diagonal Relationship:
- P is diagonally opposite the Purple item

Final Grid:

| Position | Item | Color | Number |
|----------|------|-------|--------|
| (1,1) | U | Orange | 10 |
| (1,2) | Q | Red | 8 |
| (1,3) | P | Blue | 2 |
| (2,1) | R | Purple | 6 |
| (2,2) | S | Green | 12 |
| (2,3) | T | Yellow | 4 |

Therefore, the item at (2,2) is S.

horizontal-layering, grid-based, 4-layer, relational-matrix

Question 15

Six items (P, Q, R, S, T, U) are arranged in a 2×3 grid (2 rows, 3 columns). Each has a unique color and associated number. Colors: Red, Blue, Green, Yellow, Orange, Purple Numbers: 2, 4, 6, 8, 10, 12 Given information: • Item T is at position (1,1) with number 4. • The item at (2,2) has number 12. • The item at (2,2) is Green colored. • The item with number 8 is in the same column as the Green item. • No item in Row 1 is Red. What item is in Row 2, Column 2?

Step-by-step Solution:

1. Direct Assignments:
- (1,1) = T (Number 4)
- (2,2) = Number 12, Color Green

2. Column Constraints:
- The number 8 is in the same column as Green (Column 2)
- Therefore, either (1,2) or (2,2) has number 8
- Since (2,2) has 12, (1,2) must have number 8

3. Row Constraints:
- Row 1 has no Red items

4. Diagonal Relationship:
- S is diagonally opposite the Yellow item

Final Grid:

| Position | Item | Color | Number |
|----------|------|-------|--------|
| (1,1) | T | Orange | 4 |
| (1,2) | Q | Purple | 8 |
| (1,3) | S | Blue | 6 |
| (2,1) | R | Yellow | 10 |
| (2,2) | P | Green | 12 |
| (2,3) | U | Red | 2 |

Therefore, the item at (2,2) is P.

horizontal-layering, grid-based, 4-layer, relational-matrix

Question 16

Five runners are racing on three parallel tracks. Multiple runners can use the same track, and each runner's position is tracked within their track. Given information: • Alice and Diana are on Track 1 • Bob and Ethan are on Track 2 • Charlie is alone on Track 3 • On Track 1: Alice is ahead of Diana • On Track 2: Bob is ahead of Ethan • The person on Track 3 is running unopposed What is Diana's position within their track?

Step-by-step Solution:

Layer 1: Track Assignment (Horizontal Layer)
- Track 1: Alice, Diana
- Track 2: Bob, Ethan
- Track 3: Charlie

Layer 2: Position within Track (Competitive Layer)

Track 1 Rankings:
- Alice is ahead of Diana
- Therefore: Alice = 1st, Diana = 2nd

Track 2 Rankings:
- Bob is ahead of Ethan
- Therefore: Bob = 1st, Ethan = 2nd

Track 3 Rankings:
- Charlie = 1st (unopposed)

Cross-Track Analysis:
Diana is on Track 1 and is behind Alice.
Within Track 1, Diana is in 2nd position.

Answer: 2nd

horizontal-layering, parallel-tracks, comparative-position

Question 17

Five runners are racing on three parallel tracks. Multiple runners can use the same track, and each runner's position is tracked within their track. Given information: • Alice and Diana are on Track 1 • Bob and Ethan are on Track 2 • Charlie is alone on Track 3 • On Track 1: Alice is ahead of Diana • On Track 2: Bob is ahead of Ethan • The person on Track 3 is running unopposed What is Diana's position within their track?

Step-by-step Solution:

Layer 1: Track Assignment (Horizontal Layer)
- Track 1: Alice, Diana
- Track 2: Bob, Ethan
- Track 3: Charlie

Layer 2: Position within Track (Competitive Layer)

Track 1 Rankings:
- Alice is ahead of Diana
- Therefore: Alice = 1st, Diana = 2nd

Track 2 Rankings:
- Bob is ahead of Ethan
- Therefore: Bob = 1st, Ethan = 2nd

Track 3 Rankings:
- Charlie = 1st (unopposed)

Cross-Track Analysis:
Diana is on Track 1 and is behind Alice.
Within Track 1, Diana is in 2nd position.

Answer: 2nd

horizontal-layering, parallel-tracks, comparative-position

Question 18

Six people live in three different buildings (Tower A, B, C). Each building has 2 floors. Each person has a different profession. Given information: • The Lawyer lives immediately above Rajesh (Tower B, F1) • The Doctor lives on Floor 1 of Tower A. • Karan and Sneha live in the same building (Tower C), and neither is the Engineer. • Priya lives in Tower B, but is not the Architect. • Neha lives on Floor 2 of Tower A. What is Neha's profession?

Step-by-step Solution (Requires 3 Parallel Layering Grids):

1. Establish Building and Floor Positions (Clue 1 & 5):
- Clue 5: Neha is in Tower A, F2.
- Clue 1: Priya (The Lawyer) is in Tower B, F2, immediately above Rajesh in Tower B, F1.

2. Departmental Grouping (Clue 3):
- Karan and Sneha are in Tower C.
- By elimination, the remaining person is Amit, who must be in Tower A.

3. Profession Mapping (Clue 2 & 3):
- Clue 2: Amit (Tower A, F1) is the Doctor.
- Clue 3: Karan and Sneha (Tower C) are NOT the Engineer.
- Deduction: Since Neha is in Tower A (and is not Doctor), and is the only person left in Tower A, Neha must be the Engineer.

Answer: Engineer

vertical-layering, multi-building, inter-building, deductive-3-layer

Question 19

Six people work in three departments with two shift timings across three working days. Each person may work multiple days but only one shift per day. Given information: • **If** a person works the **Evening** shift, **then** they must be in the **HR** department. • Neha works Evening (Evening) shift in Marketing (Marketing) on Wednesday. • No person works Morning (Morning) shift on Friday (Friday) in the Marketing department. • Priya works in HR on Wednesday. If Rohan works in Sales and is on the Evening shift, which department must be the exception to the main conditional rule?

Step-by-step Solution (Requires Rule Exception Analysis):

1. Analyze the Core Conditional Rule (Clue 1):
- Rule: If Shift = Evening, then Department = HR.
- This implies: Any non-HR department cannot have an Evening shift worker.

2. Check the Contradictory Clue (Clue 2):
- Clue 2: Neha (a person) works Evening shift in the Marketing (Marketing) department.

3. Identify the Exception:
- Clue 2 presents a direct contradiction to Clue 1. Since all clues are given as true, the conditional rule must have an unstated exception.
- The person in the Marketing department works the Evening shift, violating the rule that all Evening shifters must be in HR.
- Therefore, Marketing is the implied exception to the Conditional Rule's outcome.

Answer: Marketing

conditional, complex-rules, if-then-exception

Question 20

Five security guards work in rotating shifts across three days. Each guard works one shift per day, and each shift has exactly one guard. Given information: • On Monday: Sunil works Morning, Ajay works Afternoon, Neha works Evening • Each person's shift rotates one position forward each day (Morning → Afternoon → Evening → Night → Graveyard → Morning) • Karan worked Night on Monday • Meera worked Graveyard on Monday What shift does Neha work on Tuesday?

Step-by-step Solution:

Layer 1: Day-wise Schedule
Creating a temporal matrix across three days.

Layer 2: Shift Assignment
Initial assignments on Monday:
- Sunil → Morning
- Ajay → Afternoon
- Neha → Evening
- Karan → Night
- Meera → Graveyard

Layer 3: Rotation Pattern
Each person's shift advances by one position daily.

Day 2 (Tuesday) Calculation:
Neha started with Evening on Monday.
After one rotation: Evening → Night

Answer: Night

temporal-layering, shift-rotation, time-slots

Multi-Layer Puzzles - Advanced Level: 3-layer puzzles ADVANCED

What you'll learn in this worksheet:

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20