Multi-Layer Puzzles - Beginner-Intermediate Level: integrated reasoning BEGINNER-INTERMEDIATE

Strategic fast track practice for multi-layer puzzles: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: integrated reasoning. Develop expertise in layer logic, complex arrangements, multiple constraints with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Multi-Layer Puzzles
Worksheet 9 of 30 (30% 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

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 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, Red, White, Yellow, 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 White. • Box B is not White. What color is Box C?
Step-by-step Solution:

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

2. Build Complete Stack:

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

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

Answer: White

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

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.

Question 6

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

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

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

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

Question 7

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 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

Question 9

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 6. • 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 Orange. What item is in Row 2, Column 2?
Step-by-step Solution:

1. Direct Assignments:
- (1,1) = U (Number 6)
- (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 Orange items

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

Final Grid:

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

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

Question 10

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 4. • 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 Red. What item is in Row 2, Column 2?
Step-by-step Solution:

1. Direct Assignments:
- (1,1) = U (Number 4)
- (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 Red items

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

Final Grid:

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

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

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 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: Meera works Morning, Karan works Afternoon, Neha works Evening • Each person's shift rotates one position forward each day (Morning → Afternoon → Evening → Night → Graveyard → Morning) • Ajay worked Night on Monday • Sunil 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:
- Meera → Morning
- Karan → Afternoon
- Neha → Evening
- Ajay → Night
- Sunil → 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 13

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: Meera 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 • Sunil 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:
- Meera → Morning
- Ajay → Afternoon
- Neha → Evening
- Karan → Night
- Sunil → 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 14

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

Question 15

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, Blue, Green, Red, 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 Green. • Box C is not Red. What color is Box B?
Step-by-step Solution:

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

2. Build Complete Stack:

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

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

Answer: Blue

Question 16

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

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

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

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

Answer: Van

Question 17

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

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

Question 19

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 Orange colored. • The item with number 8 is in the same column as the Orange item. • No item in Row 1 is Green. 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 Orange

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

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

Final Grid:

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

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

Question 20

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
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