Multi-Layer Puzzles Worksheet 8 - Beginner-Intermediate Level (multi-parameter puzzles) | 20 Questions

Question 1

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 2

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

Step-by-step Solution:

1. Direct Placements:
- Position 1: Box A (White)
- Position 5: Box E (Green)
- Position 3: Yellow

2. Build Complete Stack:

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

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

Answer: Blue

vertical-layering, stacking, deductive-color-coding

Question 3

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 4

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 5

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

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

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

Answer: Night

temporal-layering, shift-rotation, time-slots

Question 6

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 7

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 8

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 9

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

categorical-layering, hierarchy, organizational, reporting

Question 10

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. • Bhavna 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: Bhavna 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 11

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 Green colored. • The Yellow item is on Shelf 2, which is 3 shelves below the Vase. • The Large-sized item is the Lamp. • The item on Shelf 1 is not Red. 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: Medium
- S4: Large
- S3: Small
- S2: Medium
- S1: Small

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 Vase item

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

Complete Arrangement:

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

Answer: Lamp

vertical-layering, categorical, non-adjacency-constraints

Question 12

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

categorical-layering, hierarchy, organizational, reporting

Question 13

Five people live on five different floors of a building (numbered 1 to 5 from bottom to top). Each person likes a different color. Given information: • Rohan lives on floor 3. • The person who likes Red lives 2 floors away from Amit. • Priya does not like Yellow and is not on a floor adjacent to Vikram. • The person who likes Blue lives immediately below Rohan. Who lives on floor 4?

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

1. Establish Knowns and Direct Assignments:
- Clue 1: Rohan is on Floor 3 (Floor 3).
- Clue 4: The person liking Blue (Color X) is on the floor immediately below Rohan. Since Rohan is on Floor 3, the person liking Color X must be on Floor 2.
- This means the person on Floor 3 is Rohan, and the person on Floor 2 is the one liking Blue.

2. Resolve Relative Positional Clues (Clue 2):
- Amit is on Floor 2.
- The person liking Red is on Floor 4 (2 floors away from Amit). This helps place the color Red on Floor 4.

3. Apply Exclusionary Clue (Clue 3):
- Priya is on Floor 1. We know their color is NOT Yellow (the color on Floor 5). This helps narrow down the color possibilities for Floor 1.
- We also know Priya is NOT adjacent to the target person on Floor 4, which is true as they are on F1.

4. Final Arrangement (Deduction):
By combining the fixed positions (F3 and F2) with the positional link (Clue 2) and the exclusions, the only unique arrangement is:

| Floor | Person | Color |
| :---: | :---: | :---: |
| 5 | Sneha | Yellow |
| 4 | Vikram | Red |
| 3 | Rohan | Green |
| 2 | Amit | Blue |
| 1 | Priya | White |

Answer: Vikram

vertical-layering, floor-puzzle, deductive-2-layer

Question 14

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 15

Five people live on five different floors of a building (numbered 1 to 5 from bottom to top). Each person likes a different color. Given information: • Rohan lives on floor 3. • The person who likes Red lives 3 floors away from Vikram. • Vikram does not like White and is not on a floor adjacent to Priya. • The person who likes Green lives immediately below Rohan. Who lives on floor 4?

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

1. Establish Knowns and Direct Assignments:
- Clue 1: Rohan is on Floor 3 (Floor 3).
- Clue 4: The person liking Green (Color X) is on the floor immediately below Rohan. Since Rohan is on Floor 3, the person liking Color X must be on Floor 2.
- This means the person on Floor 3 is Rohan, and the person on Floor 2 is the one liking Green.

2. Resolve Relative Positional Clues (Clue 2):
- Vikram is on Floor 1.
- The person liking Red is on Floor 4 (3 floors away from Vikram). This helps place the color Red on Floor 4.

3. Apply Exclusionary Clue (Clue 3):
- Vikram is on Floor 1. We know their color is NOT White (the color on Floor 5). This helps narrow down the color possibilities for Floor 1.
- We also know Vikram is NOT adjacent to the target person on Floor 4, which is true as they are on F1.

4. Final Arrangement (Deduction):
By combining the fixed positions (F3 and F2) with the positional link (Clue 2) and the exclusions, the only unique arrangement is:

| Floor | Person | Color |
| :---: | :---: | :---: |
| 5 | Amit | White |
| 4 | Priya | Red |
| 3 | Rohan | Yellow |
| 2 | Sneha | Green |
| 1 | Vikram | Blue |

Answer: Priya

vertical-layering, floor-puzzle, deductive-2-layer

Question 16

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. • Bhavna 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: Bhavna 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 17

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. • Bhavna 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: Bhavna 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 18

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 19

Five people live on five different floors of a building (numbered 1 to 5 from bottom to top). Each person likes a different color. Given information: • Sneha lives on floor 3. • The person who likes Red lives 2 floors away from Vikram. • Rohan does not like Blue and is not on a floor adjacent to Amit. • The person who likes Yellow lives immediately below Sneha. Who lives on floor 4?

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

1. Establish Knowns and Direct Assignments:
- Clue 1: Sneha is on Floor 3 (Floor 3).
- Clue 4: The person liking Yellow (Color X) is on the floor immediately below Sneha. Since Sneha is on Floor 3, the person liking Color X must be on Floor 2.
- This means the person on Floor 3 is Sneha, and the person on Floor 2 is the one liking Yellow.

2. Resolve Relative Positional Clues (Clue 2):
- Vikram is on Floor 2.
- The person liking Red is on Floor 4 (2 floors away from Vikram). This helps place the color Red on Floor 4.

3. Apply Exclusionary Clue (Clue 3):
- Rohan is on Floor 1. We know their color is NOT Blue (the color on Floor 5). This helps narrow down the color possibilities for Floor 1.
- We also know Rohan is NOT adjacent to the target person on Floor 4, which is true as they are on F1.

4. Final Arrangement (Deduction):
By combining the fixed positions (F3 and F2) with the positional link (Clue 2) and the exclusions, the only unique arrangement is:

| Floor | Person | Color |
| :---: | :---: | :---: |
| 5 | Priya | Blue |
| 4 | Amit | Red |
| 3 | Sneha | Green |
| 2 | Vikram | Yellow |
| 1 | Rohan | White |

Answer: Amit

vertical-layering, floor-puzzle, deductive-2-layer

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 R is at position (1,1) with number 6. • The item at (2,2) has number 12. • The item at (2,2) is Red colored. • The item with number 8 is in the same column as the Red item. • No item in Row 1 is Yellow. What item is in Row 2, Column 2?

Step-by-step Solution:

1. Direct Assignments:
- (1,1) = R (Number 6)
- (2,2) = Number 12, Color Red

2. Column Constraints:
- The number 8 is in the same column as Red (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 Yellow items

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

Final Grid:

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

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

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

Multi-Layer Puzzles - Beginner-Intermediate Level: multi-parameter puzzles BEGINNER-INTERMEDIATE

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