Deductive Reasoning Logic Puzzles 4x4 - Level 2 - Free Printable
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Step-by-step solution for: Deductive Reasoning Logic Puzzles 4x4 - Level 2
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Show Answer Key & Explanations
Step-by-step solution for: Deductive Reasoning Logic Puzzles 4x4 - Level 2
Let’s solve this logic puzzle step by step using the clues provided.
---
Given:
We have four people: Lauren, Marissa, Joe, and Becky
They grew up in four different towns: Westfield, Monasquan, Bloomfield, Roseland
We are told:
> 1. No one lives in a town that starts with the same letter as their first name.
> 2. Lauren lives in Westfield.
> 3. Joe lives in a town with 10 letters.
---
> Lauren lives in Westfield.
So we can fill in:
- Lauren → Westfield
Now check if this violates Clue #1.
- Lauren starts with L
- Westfield starts with W → ✔ Different → OK
So this is valid.
---
> Joe lives in a town with 10 letters.
Let’s count the letters in each town:
- Westfield → 9 letters → ✘
- Monasquan → 9 letters → ✘
- Bloomfield → 10 letters → ✔
- Roseland → 8 letters → ✘
Only Bloomfield has 10 letters.
→ So Joe → Bloomfield
Check Clue #1:
- Joe starts with J
- Bloomfield starts with B → ✔ Different → OK
Valid.
---
Remaining people: Marissa, Becky
Remaining towns: Monasquan, Roseland
We must assign these two towns to Marissa and Becky such that no one gets a town starting with the same letter as their first name.
Check:
- Marissa → starts with M
- Monasquan → starts with M → ✘ Not allowed!
- Roseland → starts with R → ✔ Allowed
→ So Marissa → Roseland
Then Becky → Monasquan
Check for Becky:
- Becky starts with B
- Monasquan starts with M → ✔ Different → OK
Perfect!
---
| Person | Hometown |
|----------|--------------|
| Lauren | Westfield |
| Marissa | Roseland |
| Joe | Bloomfield |
| Becky | Monasquan |
---
The grid has rows for each person and columns for each town.
We mark an “X” or checkmark (or just write the name) where the person belongs to that town — but since it’s a matching grid, we’ll indicate which cell is correct.
Here’s how to fill the table:
```
Westfield Monasquan Bloomfield Roseland
Lauren X
Marissa X
Joe X
Becky X
```
Wait — let me align properly.
Actually, since each person goes to exactly one town, we can put an "X" in the correct cell.
So:
- Lauren → Westfield → Put X under Westfield in Lauren's row.
- Marissa → Roseland → Put X under Roseland in Marissa's row.
- Joe → Bloomfield → Put X under Bloomfield in Joe's row.
- Becky → Monasquan → Put X under Monasquan in Becky's row.
---
✔ All clues satisfied:
- Clue 1: No one shares first letter with town → Check all:
- Lauren (L) → Westfield (W) ✔
- Marissa (M) → Roseland (R) ✔
- Joe (J) → Bloomfield (B) ✔
- Becky (B) → Monasquan (M) ✔
- Clue 2: Lauren → Westfield ✔
- Clue 3: Joe → Bloomfield (10 letters) ✔
---
Lauren → Westfield
Marissa → Roseland
Joe → Bloomfield
Becky → Monasquan
Fill the grid accordingly:
| | Westfield | Monasquan | Bloomfield | Roseland |
|----------|-----------|-----------|------------|----------|
| Lauren | X | | | |
| Marissa | | | | X |
| Joe | | | X | |
| Becky | | X | | |
*(Note: In some grids, you might write the person’s name in the town cell, but since the grid is labeled by person rows and town columns, placing an "X" or checkmark in the correct cell is standard.)*
---
Let me know if you want this formatted as a printable grid!
---
Given:
We have four people: Lauren, Marissa, Joe, and Becky
They grew up in four different towns: Westfield, Monasquan, Bloomfield, Roseland
We are told:
> 1. No one lives in a town that starts with the same letter as their first name.
> 2. Lauren lives in Westfield.
> 3. Joe lives in a town with 10 letters.
---
Step 1: Apply Clue #2
> Lauren lives in Westfield.
So we can fill in:
- Lauren → Westfield
Now check if this violates Clue #1.
- Lauren starts with L
- Westfield starts with W → ✔ Different → OK
So this is valid.
---
Step 2: Apply Clue #3
> Joe lives in a town with 10 letters.
Let’s count the letters in each town:
- Westfield → 9 letters → ✘
- Monasquan → 9 letters → ✘
- Bloomfield → 10 letters → ✔
- Roseland → 8 letters → ✘
Only Bloomfield has 10 letters.
→ So Joe → Bloomfield
Check Clue #1:
- Joe starts with J
- Bloomfield starts with B → ✔ Different → OK
Valid.
---
Step 3: Apply Clue #1 to remaining people and towns
Remaining people: Marissa, Becky
Remaining towns: Monasquan, Roseland
We must assign these two towns to Marissa and Becky such that no one gets a town starting with the same letter as their first name.
Check:
- Marissa → starts with M
- Monasquan → starts with M → ✘ Not allowed!
- Roseland → starts with R → ✔ Allowed
→ So Marissa → Roseland
Then Becky → Monasquan
Check for Becky:
- Becky starts with B
- Monasquan starts with M → ✔ Different → OK
Perfect!
---
Final Assignments:
| Person | Hometown |
|----------|--------------|
| Lauren | Westfield |
| Marissa | Roseland |
| Joe | Bloomfield |
| Becky | Monasquan |
---
Fill in the Grid:
The grid has rows for each person and columns for each town.
We mark an “X” or checkmark (or just write the name) where the person belongs to that town — but since it’s a matching grid, we’ll indicate which cell is correct.
Here’s how to fill the table:
```
Westfield Monasquan Bloomfield Roseland
Lauren X
Marissa X
Joe X
Becky X
```
Wait — let me align properly.
Actually, since each person goes to exactly one town, we can put an "X" in the correct cell.
So:
- Lauren → Westfield → Put X under Westfield in Lauren's row.
- Marissa → Roseland → Put X under Roseland in Marissa's row.
- Joe → Bloomfield → Put X under Bloomfield in Joe's row.
- Becky → Monasquan → Put X under Monasquan in Becky's row.
---
✔ All clues satisfied:
- Clue 1: No one shares first letter with town → Check all:
- Lauren (L) → Westfield (W) ✔
- Marissa (M) → Roseland (R) ✔
- Joe (J) → Bloomfield (B) ✔
- Becky (B) → Monasquan (M) ✔
- Clue 2: Lauren → Westfield ✔
- Clue 3: Joe → Bloomfield (10 letters) ✔
---
✔ Final Answer:
Lauren → Westfield
Marissa → Roseland
Joe → Bloomfield
Becky → Monasquan
Fill the grid accordingly:
| | Westfield | Monasquan | Bloomfield | Roseland |
|----------|-----------|-----------|------------|----------|
| Lauren | X | | | |
| Marissa | | | | X |
| Joe | | | X | |
| Becky | | X | | |
*(Note: In some grids, you might write the person’s name in the town cell, but since the grid is labeled by person rows and town columns, placing an "X" or checkmark in the correct cell is standard.)*
---
Let me know if you want this formatted as a printable grid!
Parent Tip: Review the logic above to help your child master the concept of printable deductive reasoning puzzles.