Printable Logic Puzzles For Elementary Students - Printable ... - Free Printable
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Step-by-step solution for: Printable Logic Puzzles For Elementary Students - Printable ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable Logic Puzzles For Elementary Students - Printable ...
Let's solve this logic puzzle step by step using the clues provided. We are given a grid with four categories:
- First Names: Carmen, Jared, Kristen, Leo
- Chewing Gum: bubblegum, cinnamon, peppermint, spearmint
- Laptops: Alienware, Apple, Gateway, Hewlett Packard
- Days Off: Monday, Tuesday, Wednesday, Thursday
We need to determine who uses which laptop, chews which gum, and has which day off.
---
1. The person who uses the Apple laptop didn't chew the spearmint gum.
2. The person who uses the Alienware laptop is Carmen.
3. The person who uses the Apple laptop has a day off later in the week than Jared.
4. The person who chewed the spearmint gum is not Jared or Leo.
5. The person who uses the Apple laptop has a day off later in the week than the person who uses the Hewlett Packard laptop.
6. The person who uses the Gateway laptop didn't chew the bubblegum gum and is not Kristen.
7. Of Carmen and the person who uses the Hewlett Packard laptop, one chewed the peppermint gum and the other has Tuesday off.
8. The person who uses the Hewlett Packard laptop didn't chew the bubblegum gum.
9. The one who has Monday off is Carmen.
10. Either the person who uses the Alienware laptop or the person who uses the Gateway laptop chewed the peppermint gum.
---
#### From clue 9:
> The one who has Monday off is Carmen.
So:
- Carmen → Monday off
#### From clue 2:
> The person who uses the Alienware laptop is Carmen.
So:
- Carmen → Alienware laptop
Now we know:
- Carmen → Monday off, Alienware laptop
#### From clue 7:
> Of Carmen and the person who uses the Hewlett Packard laptop, one chewed the peppermint gum and the other has Tuesday off.
We already know:
- Carmen has Monday off, so she cannot have Tuesday off.
- Therefore, the person who uses the Hewlett Packard laptop must have Tuesday off.
- And since Carmen doesn’t have Tuesday off, Carmen must be the one who chewed the peppermint gum.
So from clue 7:
- Hewlett Packard user → Tuesday off
- Carmen → peppermint gum
Update:
- Carmen → Monday off, Alienware, peppermint gum
- Hewlett Packard user → Tuesday off
#### From clue 10:
> Either the person who uses the Alienware laptop or the person who uses the Gateway laptop chewed the peppermint gum.
We already know:
- Alienware → Carmen → peppermint gum ✔
So this clue is satisfied.
#### From clue 6:
> The person who uses the Gateway laptop didn't chew the bubblegum gum and is not Kristen.
So:
- Gateway user ≠ Kristen
- Gateway user ≠ bubblegum
#### From clue 8:
> The person who uses the Hewlett Packard laptop didn't chew the bubblegum gum.
So:
- HP user ≠ bubblegum
#### From clue 4:
> The person who chewed the spearmint gum is not Jared or Leo.
So:
- Spearmint gum → not Jared, not Leo → must be Carmen or Kristen
But we already know:
- Carmen → peppermint gum (from clue 7)
So:
- Spearmint gum → must be Kristen
So:
- Kristen → spearmint gum
Now only two people left for chewing gum:
- Jared → ?
- Leo → ?
Gums used:
- Carmen → peppermint
- Kristen → spearmint
- So remaining: bubblegum, cinnamon → for Jared and Leo
From clue 1:
> The person who uses the Apple laptop didn't chew the spearmint gum.
Spearmint → Kristen → so Kristen did not use Apple laptop
So Apple laptop ≠ Kristen
From clue 3:
> The person who uses the Apple laptop has a day off later in the week than Jared.
So:
- Apple user’s day off > Jared’s day off
Possible days: Mon, Tue, Wed, Thu
So if Jared has Monday off → Apple user must have Tue, Wed, or Thu
If Jared has Tuesday → Apple user must have Wed or Thu
If Jared has Wednesday → Apple user must have Thursday
If Jared has Thursday → no one can have later → impossible
So Jared cannot have Thursday off.
Similarly, clue 5:
> The person who uses the Apple laptop has a day off later in the week than the person who uses the Hewlett Packard laptop.
HP user → Tuesday off (from earlier)
So Apple user → must have Wednesday or Thursday off
So Apple user ≠ Monday, ≠ Tuesday
So Apple user → Wed or Thu
And from clue 3: Apple user’s day off > Jared’s
So:
- If Apple user = Wed → Jared < Wed → Jared = Mon or Tue
- If Apple user = Thu → Jared < Thu → Jared = Mon, Tue, or Wed
But from clue 5: Apple user > HP user → HP user = Tue → Apple user = Wed or Thu
So Apple user ∈ {Wed, Thu}
Also, HP user = Tuesday off → so someone has Tuesday off
We already have:
- Carmen → Monday off
- HP user → Tuesday off
So Tuesday off → HP user
So far:
- Monday: Carmen
- Tuesday: HP user
Remaining days: Wednesday, Thursday → for Jared, Leo, and whoever else?
People: Carmen, Jared, Kristen, Leo
Carmen → Monday
So Jared, Kristen, Leo → Wed, Thu, and one of them has Tuesday? No — Tuesday is HP user, but we don’t yet know who that is.
Wait — HP user has Tuesday off → so HP user is one of the three: Jared, Kristen, Leo
But Carmen has Monday off, so HP user ≠ Carmen
So HP user ∈ {Jared, Kristen, Leo}
But from clue 6: Gateway user ≠ Kristen
So Kristen ≠ Gateway
And HP user ≠ Kristen? Not necessarily — could be.
But let's continue.
We know:
- HP user → Tuesday off
- HP user ≠ bubblegum (clue 8)
- HP user ≠ Carmen (Carmen has Monday off)
So HP user ∈ {Jared, Kristen, Leo}
Also, from clue 6: Gateway user ≠ Kristen
So Kristen ≠ Gateway
So Kristen must be either Apple or HP
But HP user ≠ bubblegum, and we don’t know what gum Kristen has — wait, we do!
Earlier: Kristen → spearmint gum
And clue 8: HP user ≠ bubblegum → OK, but doesn't conflict directly
But clue 1: Apple user ≠ spearmint → so Apple user ≠ Kristen
So Kristen cannot use Apple laptop
Therefore:
- Kristen cannot use Apple
- Kristen cannot use Gateway (clue 6)
- So Kristen must use either HP or Alienware
But Alienware → Carmen
So Kristen cannot use Alienware
Therefore:
- Kristen → must use Hewlett Packard
So:
- Kristen → HP laptop
And from earlier:
- HP user → Tuesday off → so Kristen → Tuesday off
Now we have:
- Carmen → Monday off, Alienware, peppermint
- Kristen → Tuesday off, HP, spearmint
Remaining people: Jared, Leo
Remaining laptops: Apple, Gateway
Remaining days: Wednesday, Thursday
Remaining gums: bubblegum, cinnamon
Now assign:
From clue 6: Gateway user ≠ Kristen → already true (Kristen has HP)
Gateway user ≠ bubblegum → so Gateway user ≠ bubblegum
So Gateway user → gum = cinnamon or peppermint or spearmint? But those are taken.
Available gums: bubblegum, cinnamon
But Gateway user ≠ bubblegum → so Gateway user → cinnamon
So:
- Gateway user → cinnamon gum
Then Apple user → must be bubblegum (only one left)
But clue 1: Apple user ≠ spearmint → yes, Apple user ≠ spearmint → OK, Apple user gets bubblegum
So:
- Apple user → bubblegum
- Gateway user → cinnamon
Now assign laptops:
Remaining laptops: Apple, Gateway → to Jared and Leo
Remaining days: Wednesday, Thursday
Remaining gums: bubblegum (Apple), cinnamon (Gateway)
Now clue 3: Apple user has day off later than Jared
So Apple user > Jared’s day off
So possible:
- If Jared = Monday → Apple user = Tue, Wed, Thu → but Tuesday is taken (Kristen), so Apple user = Wed or Thu → possible
- If Jared = Tuesday → Apple user = Wed or Thu → possible
- If Jared = Wednesday → Apple user = Thu → possible
- If Jared = Thursday → no one after → impossible
But Jared cannot have Thursday off (because Apple user must have later day off)
So Jared ≠ Thursday
But we already have:
- Monday: Carmen
- Tuesday: Kristen
- So Jared must be Wednesday or Thursday? But Thursday is invalid
So Jared must be Wednesday
Then:
- Jared → Wednesday off
Then Apple user must have day off later than Wednesday → so Thursday
So:
- Apple user → Thursday off
- Then Gateway user → Wednesday off? No — Jared has Wednesday off
Wait — Jared has Wednesday off, and he is one of the two left
So:
- People left: Jared, Leo
- Days left: Wednesday, Thursday
- Jared → Wednesday off (as above)
- Then Leo → Thursday off
Now Apple user → Thursday off → so Leo → Apple laptop
Then Jared → Gateway laptop
Now check:
- Jared → Gateway laptop, Wednesday off
- Leo → Apple laptop, Thursday off
Now check gum assignments:
- Gateway user → cinnamon (from earlier)
- So Jared → cinnamon gum
- Apple user → bubblegum → Leo → bubblegum
Now check all clues.
Let’s compile full assignment:
| Person | Laptop | Day Off | Gum |
|-----------|----------------|-------------|------------|
| Carmen | Alienware | Monday | peppermint |
| Kristen | HP | Tuesday | spearmint |
| Jared | Gateway | Wednesday | cinnamon |
| Leo | Apple | Thursday | bubblegum |
Now verify all clues.
---
1. Apple user didn't chew spearmint → Leo → Apple → bubblegum → not spearmint → ✔
2. Alienware user is Carmen → yes → ✔
3. Apple user has day off later than Jared → Apple = Thursday, Jared = Wednesday → Thursday > Wednesday → ✔
4. Spearmint gum chewer is not Jared or Leo → spearmint = Kristen → not Jared or Leo → ✔
5. Apple user has day off later than HP user → Apple = Thursday, HP = Tuesday → Thursday > Tuesday → ✔
6. Gateway user didn’t chew bubblegum and is not Kristen → Gateway = Jared → gum = cinnamon → not bubblegum → and not Kristen → ✔
7. Of Carmen and HP user, one chewed peppermint, the other has Tuesday off → Carmen → peppermint, HP user (Kristen) → Tuesday off → ✔
8. HP user didn’t chew bubblegum → HP = Kristen → spearmint → not bubblegum → ✔
9. Monday off is Carmen → yes → ✔
10. Either Alienware or Gateway user chewed peppermint → Alienware = Carmen → peppermint → ✔
All clues satisfied!
---
| First Name | Chewing Gum | Laptops | Days Off |
|------------|------------------|------------------|--------------|
| Carmen | peppermint | Alienware | Monday |
| Kristen | spearmint | Hewlett Packard | Tuesday |
| Jared | cinnamon | Gateway | Wednesday |
| Leo | bubblegum | Apple | Thursday |
You can now fill the grid accordingly.
✔ Puzzle solved!
- First Names: Carmen, Jared, Kristen, Leo
- Chewing Gum: bubblegum, cinnamon, peppermint, spearmint
- Laptops: Alienware, Apple, Gateway, Hewlett Packard
- Days Off: Monday, Tuesday, Wednesday, Thursday
We need to determine who uses which laptop, chews which gum, and has which day off.
---
Step 1: List the Clues
1. The person who uses the Apple laptop didn't chew the spearmint gum.
2. The person who uses the Alienware laptop is Carmen.
3. The person who uses the Apple laptop has a day off later in the week than Jared.
4. The person who chewed the spearmint gum is not Jared or Leo.
5. The person who uses the Apple laptop has a day off later in the week than the person who uses the Hewlett Packard laptop.
6. The person who uses the Gateway laptop didn't chew the bubblegum gum and is not Kristen.
7. Of Carmen and the person who uses the Hewlett Packard laptop, one chewed the peppermint gum and the other has Tuesday off.
8. The person who uses the Hewlett Packard laptop didn't chew the bubblegum gum.
9. The one who has Monday off is Carmen.
10. Either the person who uses the Alienware laptop or the person who uses the Gateway laptop chewed the peppermint gum.
---
Step 2: Start Filling In What We Know
#### From clue 9:
> The one who has Monday off is Carmen.
So:
- Carmen → Monday off
#### From clue 2:
> The person who uses the Alienware laptop is Carmen.
So:
- Carmen → Alienware laptop
Now we know:
- Carmen → Monday off, Alienware laptop
#### From clue 7:
> Of Carmen and the person who uses the Hewlett Packard laptop, one chewed the peppermint gum and the other has Tuesday off.
We already know:
- Carmen has Monday off, so she cannot have Tuesday off.
- Therefore, the person who uses the Hewlett Packard laptop must have Tuesday off.
- And since Carmen doesn’t have Tuesday off, Carmen must be the one who chewed the peppermint gum.
So from clue 7:
- Hewlett Packard user → Tuesday off
- Carmen → peppermint gum
Update:
- Carmen → Monday off, Alienware, peppermint gum
- Hewlett Packard user → Tuesday off
#### From clue 10:
> Either the person who uses the Alienware laptop or the person who uses the Gateway laptop chewed the peppermint gum.
We already know:
- Alienware → Carmen → peppermint gum ✔
So this clue is satisfied.
#### From clue 6:
> The person who uses the Gateway laptop didn't chew the bubblegum gum and is not Kristen.
So:
- Gateway user ≠ Kristen
- Gateway user ≠ bubblegum
#### From clue 8:
> The person who uses the Hewlett Packard laptop didn't chew the bubblegum gum.
So:
- HP user ≠ bubblegum
#### From clue 4:
> The person who chewed the spearmint gum is not Jared or Leo.
So:
- Spearmint gum → not Jared, not Leo → must be Carmen or Kristen
But we already know:
- Carmen → peppermint gum (from clue 7)
So:
- Spearmint gum → must be Kristen
So:
- Kristen → spearmint gum
Now only two people left for chewing gum:
- Jared → ?
- Leo → ?
Gums used:
- Carmen → peppermint
- Kristen → spearmint
- So remaining: bubblegum, cinnamon → for Jared and Leo
From clue 1:
> The person who uses the Apple laptop didn't chew the spearmint gum.
Spearmint → Kristen → so Kristen did not use Apple laptop
So Apple laptop ≠ Kristen
From clue 3:
> The person who uses the Apple laptop has a day off later in the week than Jared.
So:
- Apple user’s day off > Jared’s day off
Possible days: Mon, Tue, Wed, Thu
So if Jared has Monday off → Apple user must have Tue, Wed, or Thu
If Jared has Tuesday → Apple user must have Wed or Thu
If Jared has Wednesday → Apple user must have Thursday
If Jared has Thursday → no one can have later → impossible
So Jared cannot have Thursday off.
Similarly, clue 5:
> The person who uses the Apple laptop has a day off later in the week than the person who uses the Hewlett Packard laptop.
HP user → Tuesday off (from earlier)
So Apple user → must have Wednesday or Thursday off
So Apple user ≠ Monday, ≠ Tuesday
So Apple user → Wed or Thu
And from clue 3: Apple user’s day off > Jared’s
So:
- If Apple user = Wed → Jared < Wed → Jared = Mon or Tue
- If Apple user = Thu → Jared < Thu → Jared = Mon, Tue, or Wed
But from clue 5: Apple user > HP user → HP user = Tue → Apple user = Wed or Thu
So Apple user ∈ {Wed, Thu}
Also, HP user = Tuesday off → so someone has Tuesday off
We already have:
- Carmen → Monday off
- HP user → Tuesday off
So Tuesday off → HP user
So far:
- Monday: Carmen
- Tuesday: HP user
Remaining days: Wednesday, Thursday → for Jared, Leo, and whoever else?
People: Carmen, Jared, Kristen, Leo
Carmen → Monday
So Jared, Kristen, Leo → Wed, Thu, and one of them has Tuesday? No — Tuesday is HP user, but we don’t yet know who that is.
Wait — HP user has Tuesday off → so HP user is one of the three: Jared, Kristen, Leo
But Carmen has Monday off, so HP user ≠ Carmen
So HP user ∈ {Jared, Kristen, Leo}
But from clue 6: Gateway user ≠ Kristen
So Kristen ≠ Gateway
And HP user ≠ Kristen? Not necessarily — could be.
But let's continue.
We know:
- HP user → Tuesday off
- HP user ≠ bubblegum (clue 8)
- HP user ≠ Carmen (Carmen has Monday off)
So HP user ∈ {Jared, Kristen, Leo}
Also, from clue 6: Gateway user ≠ Kristen
So Kristen ≠ Gateway
So Kristen must be either Apple or HP
But HP user ≠ bubblegum, and we don’t know what gum Kristen has — wait, we do!
Earlier: Kristen → spearmint gum
And clue 8: HP user ≠ bubblegum → OK, but doesn't conflict directly
But clue 1: Apple user ≠ spearmint → so Apple user ≠ Kristen
So Kristen cannot use Apple laptop
Therefore:
- Kristen cannot use Apple
- Kristen cannot use Gateway (clue 6)
- So Kristen must use either HP or Alienware
But Alienware → Carmen
So Kristen cannot use Alienware
Therefore:
- Kristen → must use Hewlett Packard
So:
- Kristen → HP laptop
And from earlier:
- HP user → Tuesday off → so Kristen → Tuesday off
Now we have:
- Carmen → Monday off, Alienware, peppermint
- Kristen → Tuesday off, HP, spearmint
Remaining people: Jared, Leo
Remaining laptops: Apple, Gateway
Remaining days: Wednesday, Thursday
Remaining gums: bubblegum, cinnamon
Now assign:
From clue 6: Gateway user ≠ Kristen → already true (Kristen has HP)
Gateway user ≠ bubblegum → so Gateway user ≠ bubblegum
So Gateway user → gum = cinnamon or peppermint or spearmint? But those are taken.
Available gums: bubblegum, cinnamon
But Gateway user ≠ bubblegum → so Gateway user → cinnamon
So:
- Gateway user → cinnamon gum
Then Apple user → must be bubblegum (only one left)
But clue 1: Apple user ≠ spearmint → yes, Apple user ≠ spearmint → OK, Apple user gets bubblegum
So:
- Apple user → bubblegum
- Gateway user → cinnamon
Now assign laptops:
Remaining laptops: Apple, Gateway → to Jared and Leo
Remaining days: Wednesday, Thursday
Remaining gums: bubblegum (Apple), cinnamon (Gateway)
Now clue 3: Apple user has day off later than Jared
So Apple user > Jared’s day off
So possible:
- If Jared = Monday → Apple user = Tue, Wed, Thu → but Tuesday is taken (Kristen), so Apple user = Wed or Thu → possible
- If Jared = Tuesday → Apple user = Wed or Thu → possible
- If Jared = Wednesday → Apple user = Thu → possible
- If Jared = Thursday → no one after → impossible
But Jared cannot have Thursday off (because Apple user must have later day off)
So Jared ≠ Thursday
But we already have:
- Monday: Carmen
- Tuesday: Kristen
- So Jared must be Wednesday or Thursday? But Thursday is invalid
So Jared must be Wednesday
Then:
- Jared → Wednesday off
Then Apple user must have day off later than Wednesday → so Thursday
So:
- Apple user → Thursday off
- Then Gateway user → Wednesday off? No — Jared has Wednesday off
Wait — Jared has Wednesday off, and he is one of the two left
So:
- People left: Jared, Leo
- Days left: Wednesday, Thursday
- Jared → Wednesday off (as above)
- Then Leo → Thursday off
Now Apple user → Thursday off → so Leo → Apple laptop
Then Jared → Gateway laptop
Now check:
- Jared → Gateway laptop, Wednesday off
- Leo → Apple laptop, Thursday off
Now check gum assignments:
- Gateway user → cinnamon (from earlier)
- So Jared → cinnamon gum
- Apple user → bubblegum → Leo → bubblegum
Now check all clues.
Let’s compile full assignment:
| Person | Laptop | Day Off | Gum |
|-----------|----------------|-------------|------------|
| Carmen | Alienware | Monday | peppermint |
| Kristen | HP | Tuesday | spearmint |
| Jared | Gateway | Wednesday | cinnamon |
| Leo | Apple | Thursday | bubblegum |
Now verify all clues.
---
Verify Clues:
1. Apple user didn't chew spearmint → Leo → Apple → bubblegum → not spearmint → ✔
2. Alienware user is Carmen → yes → ✔
3. Apple user has day off later than Jared → Apple = Thursday, Jared = Wednesday → Thursday > Wednesday → ✔
4. Spearmint gum chewer is not Jared or Leo → spearmint = Kristen → not Jared or Leo → ✔
5. Apple user has day off later than HP user → Apple = Thursday, HP = Tuesday → Thursday > Tuesday → ✔
6. Gateway user didn’t chew bubblegum and is not Kristen → Gateway = Jared → gum = cinnamon → not bubblegum → and not Kristen → ✔
7. Of Carmen and HP user, one chewed peppermint, the other has Tuesday off → Carmen → peppermint, HP user (Kristen) → Tuesday off → ✔
8. HP user didn’t chew bubblegum → HP = Kristen → spearmint → not bubblegum → ✔
9. Monday off is Carmen → yes → ✔
10. Either Alienware or Gateway user chewed peppermint → Alienware = Carmen → peppermint → ✔
All clues satisfied!
---
Final Answer:
| First Name | Chewing Gum | Laptops | Days Off |
|------------|------------------|------------------|--------------|
| Carmen | peppermint | Alienware | Monday |
| Kristen | spearmint | Hewlett Packard | Tuesday |
| Jared | cinnamon | Gateway | Wednesday |
| Leo | bubblegum | Apple | Thursday |
You can now fill the grid accordingly.
✔ Puzzle solved!
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles middle school.