Multi-Layer Puzzles - Advanced Level: 2-layer puzzles ADVANCED

Master multi-layer puzzles concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into 2-layer puzzles while learning combined conditions, layer puzzles, complex logic. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

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Worksheet 26 of 30 (86% complete)

Question 1

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

Question 2

Eight people work in a company with hierarchical structure across four departments. Each department has a Director, Manager, and Executive (only two departments have complete teams). Given information: • Aditya is the Director of Sales department • Bhavna reports to Aditya and is a Manager • Chetan is an Executive in the Sales department • Deepika is the Director of Marketing department, working at the same level as Aditya • Eshan is one level below Deepika in the same department • The Executive in Marketing department reports to Eshan • Falguni is in the Marketing department What is Eshan's designation?
Step-by-step Solution:

Layer 1: Department Assignment
- Sales: Aditya, Bhavna, Chetan
- Marketing: Deepika, Eshan, Falguni

Layer 2: Hierarchical Level
Three levels in each department:
1. Director (Top)
2. Manager (Middle)
3. Executive (Bottom)

Layer 3: Reporting Structure

Sales Department:
- Director: Aditya
- Manager: Bhavna (reports to Aditya)
- Executive: Chetan (reports to Bhavna)

Marketing Department:
- Director: Deepika (same level as Aditya)
- One level below Director: Manager level
- Eshan is one level below Deepika
- Falguni reports to Eshan (so Falguni is Executive)

Cross-Layer Integration:
Eshan is one level below Director Deepika in Marketing.
The level below Director is Manager.

Answer: Manager

Question 3

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

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

Question 5

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

Question 6

Eight people work in a company with hierarchical structure across four departments. Each department has a Director, Manager, and Executive (only two departments have complete teams). Given information: • Aditya is the Director of Sales department • Bhavna reports to Aditya and is a Manager • Chetan is an Executive in the Sales department • Deepika is the Director of Marketing department, working at the same level as Aditya • Eshan is one level below Deepika in the same department • The Executive in Marketing department reports to Eshan • Falguni is in the Marketing department What is Eshan's designation?
Step-by-step Solution:

Layer 1: Department Assignment
- Sales: Aditya, Bhavna, Chetan
- Marketing: Deepika, Eshan, Falguni

Layer 2: Hierarchical Level
Three levels in each department:
1. Director (Top)
2. Manager (Middle)
3. Executive (Bottom)

Layer 3: Reporting Structure

Sales Department:
- Director: Aditya
- Manager: Bhavna (reports to Aditya)
- Executive: Chetan (reports to Bhavna)

Marketing Department:
- Director: Deepika (same level as Aditya)
- One level below Director: Manager level
- Eshan is one level below Deepika
- Falguni reports to Eshan (so Falguni is Executive)

Cross-Layer Integration:
Eshan is one level below Director Deepika in Marketing.
The level below Director is Manager.

Answer: Manager

Question 7

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. • Divya 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: Divya 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

Question 8

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

Question 9

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: Yellow, Green, Red, White, Blue. Given information: • Box A is at the bottom (Position 1). • The Blue box is at the top (Position 5). • Box C is immediately above Box B. • The box at Position 3 is Red. • Box D is not Blue. What color is Box B?
Step-by-step Solution:

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

2. Build Complete Stack:

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

3. Find Box B:
- Box B is at Position 2
- Its color is Green

Answer: Green

Question 10

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

Question 11

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

Question 12

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: Green, White, Red, Yellow, Blue. Given information: • Box A is at the bottom (Position 1). • The Blue 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 Yellow. What color is Box C?
Step-by-step Solution:

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

2. Build Complete Stack:

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

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

Answer: Red

Question 13

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

Question 14

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 Large-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is Blue colored. • The Yellow item is on Shelf 2, which is 3 shelves below the Trophy. • The Large-sized item is the Book. • The item on Shelf 1 is not Yellow. What item is on Shelf 4?
Step-by-step Solution:

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

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

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

Complete Arrangement:

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

Answer: Book

Question 15

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 **Snake** drives a **Sedan**. • The person in **Miami** does not own a **Fish** and does not drive a **Truck**. • If a person drives a **SUV**, their city is not **NY**. • **Carl** is the one who owns the **Fish**. • The person who drives a **Van** 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=Snake → Car=Sedan)
- The question asks you to assume the second part is TRUE: The person with the Snake drives a Sedan.

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

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

4. Inter-Layer Elimination:
- Use the Exclusionary Clue 2 (Miami city) and Conditional Link Clue 3 (SUV 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 SUV.

Answer: SUV

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

Question 17

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.

Question 18

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: Karan works Morning, Ajay works Afternoon, Neha works Evening • Each person's shift rotates one position forward each day (Morning → Afternoon → Evening → Night → Graveyard → Morning) • Sunil 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:
- Karan → Morning
- Ajay → Afternoon
- Neha → Evening
- Sunil → 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

Question 19

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. • Farhan 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: Farhan 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

Question 20

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 S is at position (1,1) with number 2. • The item at (2,2) has number 12. • The item at (2,2) is Yellow colored. • The item with number 8 is in the same column as the Yellow 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) = S (Number 2)
- (2,2) = Number 12, Color Yellow

2. Column Constraints:
- The number 8 is in the same column as Yellow (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:
- P is diagonally opposite the Red item

Final Grid:

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

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