Multi-Layer Puzzles Worksheet 19 - Intermediate-Advanced Level (multiple constraints) | 20 Questions

Question 1

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 Blue lives 2 floors away from Priya. • Vikram does not like White and is not on a floor adjacent to Amit. • The person who likes Green 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 Green (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 Green.

2. Resolve Relative Positional Clues (Clue 2):
- Priya is on Floor 2.
- The person liking Blue is on Floor 4 (2 floors away from Priya). This helps place the color Blue 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 | Rohan | White |
| 4 | Amit | Blue |
| 3 | Sneha | Yellow |
| 2 | Priya | Green |
| 1 | Vikram | Red |

Answer: Amit

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

Question 2

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

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

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

Answer: Night

temporal-layering, shift-rotation, time-slots

Question 3

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 4

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 **Snake** lives in **Miami**, **OR** the person with the **Fish** drives a **SUV**. • The person in **Boston** does not own a **Dog** and does not drive a **Sedan**. • If a person drives a **Hatchback**, their city is not **Chicago**. • **Carl** is the one who owns the **Dog**. • The person who drives a **Truck** is **Evan**, who is also the one from **NY**. 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=Snake → City=Miami) OR (Pet=Fish → Car=SUV)
- The question asks you to assume the second part is TRUE: The person with the Fish drives a SUV.

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

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

4. Inter-Layer Elimination:
- Use the Exclusionary Clue 2 (Boston city) and Conditional Link Clue 3 (Hatchback car is not Chicago 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 Hatchback.

Answer: Hatchback

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

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

horizontal-layering, parallel-tracks, comparative-position

Question 6

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 7

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 **Cat** lives in **Miami**, **OR** the person with the **Snake** drives a **Truck**. • The person in **Chicago** does not own a **Fish** and does not drive a **Sedan**. • If a person drives a **SUV**, their city is not **LA**. • **Carl** is the one who owns the **Fish**. • The person who drives a **Hatchback** is **Evan**, who is also the one from **NY**. 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=Cat → City=Miami) OR (Pet=Snake → Car=Truck)
- The question asks you to assume the second part is TRUE: The person with the Snake drives a Truck.

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

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

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

Answer: SUV

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

Question 8

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 9

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

temporal-layering, shift-rotation, time-slots

Question 10

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 B is not Blue. What color is Box C?

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

Answer: Red

vertical-layering, stacking, deductive-color-coding

Question 11

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 12

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 White colored. • The Blue item is on Shelf 2, which is 3 shelves below the Book. • The Small-sized item is the Lamp. • The item on Shelf 1 is not Blue. 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: Small
- S3: Large
- S2: Medium
- S1: Large

2. Positional Relationship (Clue 3):
- The Blue 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 Small-sized item is the Lamp
- Shelf 4 is Small-sized
- Therefore, Shelf 4 contains the Lamp

Complete Arrangement:

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

Answer: Lamp

vertical-layering, categorical, non-adjacency-constraints

Question 13

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 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 Yellow colored. • The Red item is on Shelf 2, which is 3 shelves below the Clock. • The Small-sized item is the Vase. • 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: Small
- S3: Large
- S2: Medium
- S1: Small

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

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

Complete Arrangement:

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

Answer: Lamp

vertical-layering, categorical, non-adjacency-constraints

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 **Fish** lives in **LA**, **OR** the person with the **Dog** drives a **SUV**. • The person in **NY** does not own a **Cat** and does not drive a **Van**. • If a person drives a **Sedan**, their city is not **Miami**. • **Carl** is the one who owns the **Cat**. • The person who drives a **Truck** is **Evan**, who is also the one from **Boston**. 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=Fish → City=LA) OR (Pet=Dog → Car=SUV)
- The question asks you to assume the second part is TRUE: The person with the Dog drives a SUV.

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

3. Anchor Assignments (Clues 4 & 5):
- Clue 4: Carl → Pet: Cat.
- Clue 5: Evan → Car: Truck and City: Boston.

4. Inter-Layer Elimination:
- Use the Exclusionary Clue 2 (NY city) and Conditional Link Clue 3 (Sedan car is not Miami 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 16

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

Step-by-step Solution:

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

2. Build Complete Stack:

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

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

Answer: Blue

vertical-layering, stacking, deductive-color-coding

Question 17

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 18

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 19

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

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

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

Answer: Night

temporal-layering, shift-rotation, time-slots

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

Step-by-step Solution:

1. Direct Assignments:
- (1,1) = P (Number 2)
- (2,2) = Number 12, Color Purple

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

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

Final Grid:

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

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

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

Multi-Layer Puzzles - Intermediate-Advanced Level: multiple constraints INTERMEDIATE-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