Shelf Stacking Category | Worksheet 2/10 - Beginner entry level pra...

Question 1

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 Yellow colored. • The Blue item is on Shelf 2, which is 3 shelves below the Trophy. • The Medium-sized item is the Clock. • 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: Large
- S4: Medium
- S3: Large
- S2: Small
- S1: Medium

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 Trophy item

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

Complete Arrangement:

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

Answer: Book

Question 2

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

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

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

Complete Arrangement:

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

Answer: Book

Question 3

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

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

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

Complete Arrangement:

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

Answer: Lamp

Question 4

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 Red colored. • The Yellow item is on Shelf 2, which is 3 shelves below the Lamp. • The Large-sized item is the Trophy. • 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: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Medium
- S4: Large
- S3: Medium
- S2: Small
- S1: Large

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 Lamp item

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

Complete Arrangement:

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

Answer: Vase

Question 5

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 Yellow colored. • The Black item is on Shelf 2, which is 3 shelves below the Vase. • The Medium-sized item is the Clock. • 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: Large
- S4: Medium
- S3: Small
- S2: Large
- S1: Medium

2. Positional Relationship (Clue 3):
- The Black 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 Medium-sized item is the Clock
- Shelf 4 is Medium-sized
- Therefore, Shelf 4 contains the Clock

Complete Arrangement:

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

Answer: Trophy

Question 6

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 Black colored. • The Green item is on Shelf 2, which is 3 shelves below the Vase. • The Medium-sized item is the Frame. • The item on Shelf 1 is not Green. What item is on Shelf 4?

Step-by-step Solution:

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

2. Positional Relationship (Clue 3):
- The Green 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 Medium-sized item is the Frame
- Shelf 4 is Medium-sized
- Therefore, Shelf 4 contains the Frame

Complete Arrangement:

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

Answer: Book

Question 7

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 Green colored. • The Blue item is on Shelf 2, which is 3 shelves below the Frame. • The Large-sized item is the Vase. • 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: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Medium
- S4: Large
- S3: Medium
- S2: Large
- S1: Small

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

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

Complete Arrangement:

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

Answer: Book

Question 8

Six items are placed on six shelves (1=bottom, 6=top). Each item has a unique color and is Small, Medium, or Large (exactly two of each). No two adjacent shelves have the same size. Items: Book, Vase, Clock, Frame, Lamp, Trophy Colors: Red, Blue, Green, Yellow, Black, White Given information: • The item on Shelf 6 is Large-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is Blue colored. • The Green item is on Shelf 2, which is 3 shelves below the Lamp. • The Medium-sized item is the Frame. • 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: Large
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Large
- S5: Small
- S4: Medium
- S3: Small
- S2: Large
- S1: Medium

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

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

Complete Arrangement:

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

Answer: Book

Question 9

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 Black colored. • The Green item is on Shelf 2, which is 3 shelves below the Vase. • The Medium-sized item is the Clock. • The item on Shelf 1 is not Green. What item is on Shelf 4?

Step-by-step Solution:

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

2. Positional Relationship (Clue 3):
- The Green 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 Medium-sized item is the Clock
- Shelf 4 is Medium-sized
- Therefore, Shelf 4 contains the Clock

Complete Arrangement:

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

Answer: Trophy

Question 10

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 Red item is on Shelf 2, which is 3 shelves below the Trophy. • The Small-sized item is the Book. • The item on Shelf 1 is not Green. What item is on Shelf 4?

Step-by-step Solution:

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

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 Trophy item

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

Complete Arrangement:

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

Answer: Clock

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 Small-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is White colored. • The Red item is on Shelf 2, which is 3 shelves below the Frame. • The Medium-sized item is the Clock. • The item on Shelf 1 is not White. 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: Large
- S4: Medium
- S3: Small
- S2: Large
- S1: Medium

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 Frame item

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

Complete Arrangement:

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

Answer: Vase

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 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 Book. • The Small-sized item is the Frame. • 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: Medium
- S4: Small
- S3: Medium
- S2: Small
- S1: Large

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 Book item

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

Complete Arrangement:

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

Answer: Lamp

Question 13

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 Yellow colored. • The White item is on Shelf 2, which is 3 shelves below the Vase. • The Large-sized item is the Trophy. • 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: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Medium
- S4: Large
- S3: Medium
- S2: Large
- S1: Small

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

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

Complete Arrangement:

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

Answer: Book

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 White item is on Shelf 2, which is 3 shelves below the Vase. • The Medium-sized item is the Trophy. • 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: Large
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Large
- S5: Small
- S4: Medium
- S3: Large
- S2: Medium
- S1: Small

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

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

Complete Arrangement:

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

Answer: Clock

Question 15

Six items are placed on six shelves (1=bottom, 6=top). Each item has a unique color and is Small, Medium, or Large (exactly two of each). No two adjacent shelves have the same size. Items: Book, Vase, Clock, Frame, Lamp, Trophy Colors: Red, Blue, Green, Yellow, Black, White Given information: • The item on Shelf 6 is Small-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is Blue colored. • The Yellow item is on Shelf 2, which is 3 shelves below the Lamp. • The Large-sized item is the Clock. • 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: Large
- S3: Medium
- S2: Small
- S1: Large

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 Lamp item

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

Complete Arrangement:

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

Answer: Trophy

Question 16

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 Clock. • The Medium-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: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Large
- S4: Medium
- S3: Large
- S2: Medium
- S1: Small

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 Clock item

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

Complete Arrangement:

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

Answer: Book

Question 17

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 Red colored. • The Black item is on Shelf 2, which is 3 shelves below the Clock. • The Medium-sized item is the Vase. • 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: Small
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Small
- S5: Large
- S4: Medium
- S3: Small
- S2: Large
- S1: Medium

2. Positional Relationship (Clue 3):
- The Black 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 Medium-sized item is the Vase
- Shelf 4 is Medium-sized
- Therefore, Shelf 4 contains the Vase

Complete Arrangement:

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

Answer: Trophy

Question 18

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 Book. • The Medium-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: Large
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Large
- S5: Small
- S4: Medium
- S3: Large
- 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 Book item

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

Complete Arrangement:

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

Answer: Trophy

Question 19

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 White item is on Shelf 2, which is 3 shelves below the Clock. • 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: Large
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Large
- S5: Medium
- S4: Small
- S3: Medium
- S2: Large
- S1: Small

2. Positional Relationship (Clue 3):
- The White item is on Shelf 2
- Shelf 2 is 3 shelves below Shelf 5
- Therefore, Shelf 5 has the Clock 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 | Book | Red | Large |
| 5 | Clock | Green | Medium |
| 4 | Frame | Yellow | Small |
| 3 | Vase | Blue | Medium |
| 2 | Trophy | White | Large |
| 1 | Lamp | Black | Small |

Answer: Frame

Question 20

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 Medium-sized. No two adjacent shelves have the same size. • The item on Shelf 3 is White colored. • The Yellow item is on Shelf 2, which is 3 shelves below the Book. • The Large-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: Medium
- No adjacent same size + exactly 2 each → sizes forced:
- S6: Medium
- S5: Small
- S4: Large
- S3: Medium
- S2: Small
- S1: Large

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 Book 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 | Vase | Blue | Medium |
| 5 | Book | Red | Small |
| 4 | Clock | Green | Large |
| 3 | Trophy | White | Medium |
| 2 | Frame | Yellow | Small |
| 1 | Lamp | Black | Large |

Answer: Clock

Shelf Stacking Category: Worksheet 2 - Beginner Practice Shelf Stacking Category BEGINNER

What you'll learn in this worksheet: