Create your own logic grid puzzle | Alachua County Library District - Free Printable
Educational worksheet: Create your own logic grid puzzle | Alachua County Library District. Download and print for classroom or home learning activities.
PNG
1296×1001
554.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1821077
⭐
Show Answer Key & Explanations
Step-by-step solution for: Create your own logic grid puzzle | Alachua County Library District
▼
Show Answer Key & Explanations
Step-by-step solution for: Create your own logic grid puzzle | Alachua County Library District
Let's solve this logic puzzle step by step using the clues provided. We need to determine:
- Which student is reading which book
- The genre of each book
- The due date for each book
We have four students: David, Jordan, Kai, Maggie
Four books: Imaginary Borders, In Other Lands, The Book Thief, The Diviners
Four genres: Historical, Mystery, Non-Fiction, Sci-Fi/Fantasy
Four due dates: November 21, November 30, December 5, December 12
---
1. The four students are Jordan, the one reading *The Book Thief*, the one reading a Sci-Fi/Fantasy book, and the one with the November 21st due date.
2. Kai is not reading the Non-Fiction book.
3. David’s due date is before the due date for the Historical book but after the due date for *Imaginary Borders*.
4. Maggie is reading the Mystery book.
5. Kai’s book is due either on November 30th or December 12th.
6. The Non-Fiction book is *Imaginary Borders*.
7. *In Other Lands* is due before the Historical book but after Maggie’s book.
---
Let’s process these clues one at a time.
---
So:
- *Imaginary Borders* → Genre: Non-Fiction
---
So:
- Maggie → Genre: Mystery
Therefore, Maggie is not reading *Imaginary Borders* (which is Non-Fiction), so she is reading one of the other three books.
---
So Kai ≠ *Imaginary Borders*
Thus, Kai is reading one of: *In Other Lands, The Book Thief, The Diviners*
---
So Kai’s due date ∈ {Nov 30, Dec 12}
---
This clue says that the four students can be identified in four ways:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
That means:
- These four identities are all different people, because they're listed as the four students.
So:
- Jordan ≠ reader of *The Book Thief*
- Jordan ≠ reader of Sci-Fi/Fantasy
- Jordan ≠ person with Nov 21 due date
And similarly:
- Reader of *The Book Thief* ≠ reader of Sci-Fi/Fantasy
- Reader of *The Book Thief* ≠ person with Nov 21 due date
- etc.
So all four categories (Jordan, *The Book Thief* reader, Sci-Fi/Fantasy reader, Nov 21 due date) are assigned to different students.
---
Now let’s look at clue 3:
So:
- Due date: Imaginary Borders < David < Historical
Let’s denote due dates in order:
- Nov 21 < Nov 30 < Dec 5 < Dec 12
So we can say:
- Imaginary Borders due date < David’s due date < Historical book due date
So David cannot have the earliest or latest due date — he must be in between.
Also, *Imaginary Borders* must be earlier than David, and David earlier than Historical.
So possible sequences:
Let’s suppose:
| Due Date | Book |
|----------------|--------------------|
| Nov 21 | Imaginary Borders |
| Nov 30 | David |
| Dec 5 | Historical |
| Dec 12 | ? |
Or:
| Due Date | Book |
|----------------|--------------------|
| Nov 21 | Imaginary Borders |
| Nov 30 | ? |
| Dec 5 | David |
| Dec 12 | Historical |
But David must be after Imaginary Borders and before Historical.
So possibilities:
- If Imaginary Borders = Nov 21, then David ∈ {Nov 30, Dec 5}, and Historical ∈ {Dec 5, Dec 12} — but David must be before Historical, so:
- David = Nov 30 → Historical = Dec 5 or Dec 12 → OK
- David = Dec 5 → Historical = Dec 12 → OK
- David = Dec 12 → no room for Historical later → invalid
So David cannot be Dec 12.
Similarly, if Imaginary Borders = Nov 30, then David must be after that → David ∈ {Dec 5, Dec 12}, and Historical > David → Historical = Dec 12 → only possibility.
But then:
- Imaginary Borders = Nov 30
- David = Dec 5
- Historical = Dec 12
Is that valid? Yes.
If Imaginary Borders = Dec 5 → then David > Dec 5 → David = Dec 12 → Historical > Dec 12 → impossible (no later date). So invalid.
So Imaginary Borders cannot be Dec 5 or Dec 12.
So Imaginary Borders must be Nov 21 or Nov 30
Let’s consider both cases.
But from clue 6: *Imaginary Borders* is Non-Fiction
So the book *Imaginary Borders* has genre: Non-Fiction
And from clue 4: Maggie reads Mystery → so not *Imaginary Borders*
So Maggie ≠ *Imaginary Borders*
Also, from clue 2: Kai ≠ Non-Fiction → Kai ≠ *Imaginary Borders*
So who can read *Imaginary Borders*?
Students: David, Jordan, Kai, Maggie
Kai and Maggie can't → so it must be David or Jordan
So *Imaginary Borders* → David or Jordan
Now back to clue 3:
Imaginary Borders < David < Historical
So David must come after Imaginary Borders
But if David is reading *Imaginary Borders*, then his due date = due date of *Imaginary Borders*, so he cannot be after it.
Contradiction.
Therefore, David cannot be reading *Imaginary Borders*
So *Imaginary Borders* must be read by Jordan
Because only Jordan left among David, Jordan, Kai, Maggie who could read it.
Wait: Kai and Maggie can't (clues 2 and 4), David can't (because of clue 3), so yes:
→ Jordan reads *Imaginary Borders*
And *Imaginary Borders* is Non-Fiction → Jordan’s book is Non-Fiction
So:
- Jordan → *Imaginary Borders* → Non-Fiction → due date: ?
From clue 3: Imaginary Borders < David < Historical
So Jordan’s due date < David’s due date < Historical book due date
So Jordan’s due date is earlier than David’s
So Jordan ≠ Dec 5 or Dec 12 (since David would have to be later)
So Jordan’s due date ∈ {Nov 21, Nov 30}
But David must be after Jordan and before Historical
So possible:
- Jordan = Nov 21 → David = Nov 30 or Dec 5 → Historical = Dec 5 or Dec 12
- Jordan = Nov 30 → David = Dec 5 → Historical = Dec 12
(If Jordan = Nov 30, David = Dec 5, Historical = Dec 12 → OK)
But if Jordan = Nov 30, David = Dec 5, Historical = Dec 12 → works
Can Jordan = Nov 21?
Yes, then David = Nov 30 or Dec 5, Historical = Dec 5 or Dec 12
But let’s see clue 7:
So:
- Maggie’s due date < *In Other Lands* due date < Historical book due date
So Maggie < In Other Lands < Historical
So Maggie cannot be last, and In Other Lands cannot be first.
Also, from clue 1: The four students are:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
These are four distinct people.
So:
- Jordan ≠ *The Book Thief* reader
- Jordan ≠ Sci-Fi/Fantasy reader
- Jordan ≠ Nov 21 due date person
But we already know Jordan reads *Imaginary Borders* → Non-Fiction
So Jordan ≠ Sci-Fi/Fantasy → OK, consistent
Jordan ≠ *The Book Thief* → OK
Jordan ≠ Nov 21 due date → so Jordan’s due date ≠ Nov 21
Earlier we said Jordan’s due date ∈ {Nov 21, Nov 30} → but now cannot be Nov 21
So Jordan’s due date = Nov 30
Then from clue 3: Imaginary Borders < David < Historical
So Jordan (Nov 30) < David < Historical
So David must be after Nov 30 → David = Dec 5 or Dec 12
And Historical > David → so Historical = Dec 12
So:
- Historical book due date = Dec 12
- David’s due date = Dec 5 or Dec 12
But David < Historical → so David cannot be Dec 12 → David = Dec 5
So far:
| Student | Book | Genre | Due Date |
|----------|--------------------|--------------|--------------|
| Jordan | Imaginary Borders | Non-Fiction | Nov 30 |
| David | ? | ? | Dec 5 |
| ? | ? | Historical | Dec 12 |
And *Imaginary Borders* = Nov 30 → matches clue 3
Now clue 7: Maggie’s due date < *In Other Lands* due date < Historical book due date
Historical = Dec 12 → so *In Other Lands* < Dec 12 → so *In Other Lands* due date ∈ {Nov 21, Nov 30, Dec 5}
But Maggie < *In Other Lands*
So Maggie’s due date < *In Other Lands* due date < Dec 12
So possible due dates:
- Maggie: Nov 21 → *In Other Lands*: Nov 30 or Dec 5
- Maggie: Nov 30 → *In Other Lands*: Dec 5
- Maggie: Dec 5 → *In Other Lands*: none (only Dec 12 left, but must be < Dec 12 → no)
- Maggie: Dec 12 → *In Other Lands*: none → invalid
So Maggie cannot be Dec 5 or Dec 12
So Maggie ∈ {Nov 21, Nov 30}
But Jordan already has Nov 30 → so Maggie ≠ Nov 30 → Maggie = Nov 21
So Maggie’s due date = Nov 21
Then from clue 7: Maggie < *In Other Lands* < Historical
So *In Other Lands* due date ∈ {Nov 30, Dec 5}
But Nov 30 is taken by Jordan → so *In Other Lands* due date = Dec 5
So:
- *In Other Lands* → due date: Dec 5
Now David has due date = Dec 5 → so David reads *In Other Lands*
So:
- David → *In Other Lands* → due date: Dec 5
Now remaining due dates:
- Nov 21 → Maggie
- Nov 30 → Jordan
- Dec 5 → David
- Dec 12 → ??? → Historical book
So Historical book due date = Dec 12
Now remaining books:
- *The Book Thief*
- *The Diviners*
Remaining students:
- Kai (only one left)
Students: David, Jordan, Kai, Maggie
We have:
- David: *In Other Lands*
- Jordan: *Imaginary Borders*
- Maggie: ?
- Kai: ?
Books left: *The Book Thief*, *The Diviners*
Genres left:
- Historical → due Dec 12
- Mystery → Maggie reads it (clue 4)
- Sci-Fi/Fantasy → one book
- Non-Fiction → already assigned
Maggie reads Mystery → so her book is Mystery
So Maggie → Mystery
So her book is either *The Book Thief* or *The Diviners*
But *The Book Thief* → unknown genre
*The Diviners* → unknown genre
But one of them is Mystery, one is Sci-Fi/Fantasy
So Maggie reads one of those two, and it's Mystery
So the other is Sci-Fi/Fantasy
Now clue 1: The four students are:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
These are four different people.
We already have:
- Jordan → Nov 30 due date → so not Nov 21 due date → OK
- Jordan ≠ *The Book Thief* → OK
- Jordan ≠ Sci-Fi/Fantasy → OK
Now:
- The one with Nov 21 due date → Maggie (we have her due date = Nov 21)
So Maggie is the one with Nov 21 due date
So in clue 1, “the one with Nov 21 due date” = Maggie
So Maggie is one of the four distinct roles.
Now the four roles:
1. Jordan → Jordan
2. *The Book Thief* reader → someone
3. Sci-Fi/Fantasy reader → someone
4. Nov 21 due date → Maggie
So these four are distinct → so Jordan ≠ Maggie → true
So *The Book Thief* reader ≠ Maggie, ≠ Jordan, ≠ Nov 21 due date person → wait, but Maggie is Nov 21 due date → so *The Book Thief* reader ≠ Maggie
Similarly, Sci-Fi/Fantasy reader ≠ Maggie, ≠ Jordan, ≠ Nov 21 due date person
But Maggie is Nov 21 due date → so Sci-Fi/Fantasy reader ≠ Maggie
So neither *The Book Thief* nor Sci-Fi/Fantasy reader is Maggie
But Maggie is reading a book → and it's Mystery (clue 4)
So her book is Mystery → so not *The Book Thief* (unless *The Book Thief* is Mystery), but we don’t know yet.
But the point is: *The Book Thief* reader ≠ Maggie → so Maggie ≠ *The Book Thief*
Similarly, Sci-Fi/Fantasy reader ≠ Maggie → so Maggie ≠ Sci-Fi/Fantasy
But Maggie reads Mystery → so she can’t be Sci-Fi/Fantasy anyway → consistent
So Maggie’s book is Mystery → so it must be one of the two remaining books: *The Book Thief* or *The Diviners*
But *The Book Thief* reader ≠ Maggie → so Maggie ≠ *The Book Thief*
Therefore, Maggie must be reading *The Diviners*
So:
- Maggie → *The Diviners* → Mystery
Then the remaining book: *The Book Thief* → must be read by Kai
So:
- Kai → *The Book Thief*
Now genres:
- *The Book Thief* → genre: ? → not Non-Fiction (already taken), not Mystery (Maggie has it), not Historical (that’s the Dec 12 book), so must be Sci-Fi/Fantasy
Wait: genres:
- Non-Fiction → *Imaginary Borders*
- Mystery → *The Diviners*
- Historical → ? → the book due Dec 12
- Sci-Fi/Fantasy → ? → the other one
We have:
- *The Book Thief* → read by Kai → genre: must be Sci-Fi/Fantasy or Historical?
But Historical is the genre of the book due Dec 12
We haven’t assigned the genre to *The Book Thief* yet.
But we have:
- *The Diviners* → Mystery
- *Imaginary Borders* → Non-Fiction
- *In Other Lands* → ? → David
- *The Book Thief* → ? → Kai
And Historical book → due Dec 12
Which book is due Dec 12?
We have:
- *The Diviners* → Maggie → due Nov 21
- *Imaginary Borders* → Jordan → Nov 30
- *In Other Lands* → David → Dec 5
- So *The Book Thief* → Kai → due date: only one left: Dec 12
Due dates:
- Nov 21 → Maggie
- Nov 30 → Jordan
- Dec 5 → David
- Dec 12 → Kai
So Kai → *The Book Thief* → due date: Dec 12
And the Historical book is due Dec 12 → so *The Book Thief* must be Historical
But earlier I thought *The Book Thief* might be Sci-Fi/Fantasy
But now: *The Book Thief* → due Dec 12 → same as Historical book → so *The Book Thief* is Historical
So:
- *The Book Thief* → Historical
But clue 1 says: the one reading Sci-Fi/Fantasy is one of the four distinct people
So Sci-Fi/Fantasy reader ≠ Jordan, ≠ Maggie, ≠ Nov 21 due date person (Maggie), ≠ *The Book Thief* reader (Kai)
Wait: *The Book Thief* reader is Kai → so Sci-Fi/Fantasy reader ≠ Kai
But who is left?
Students: David, Jordan, Kai, Maggie
We have:
- Jordan → *Imaginary Borders* → Non-Fiction
- Maggie → *The Diviners* → Mystery
- Kai → *The Book Thief* → Historical
- David → *In Other Lands* → ???
Only David left without genre
Genres:
- Non-Fiction → Jordan
- Mystery → Maggie
- Historical → Kai
- So David → Sci-Fi/Fantasy
So *In Other Lands* → Sci-Fi/Fantasy
Now check clue 5: Kai’s book is due either Nov 30 or Dec 12
Kai → due date = Dec 12 → OK
Clue 2: Kai is not reading Non-Fiction → Kai reads Historical → OK
Now check clue 1 again:
The four students are:
- Jordan
- The one reading *The Book Thief* → Kai
- The one reading Sci-Fi/Fantasy → David
- The one with Nov 21 due date → Maggie
All four are different → yes: Jordan, Kai, David, Maggie → all distinct → OK
Now verify all clues.
---
| Student | Book Title | Genre | Due Date |
|----------|--------------------|------------------|--------------|
| David | In Other Lands | Sci-Fi/Fantasy | Dec 5 |
| Jordan | Imaginary Borders | Non-Fiction | Nov 30 |
| Kai | The Book Thief | Historical | Dec 12 |
| Maggie | The Diviners | Mystery | Nov 21 |
---
1. The four students are Jordan, the one reading *The Book Thief*, the one reading Sci-Fi/Fantasy, and the one with Nov 21 due date.
→ Jordan, Kai (*The Book Thief*), David (Sci-Fi/Fantasy), Maggie (Nov 21) → all different → OK
2. Kai is not reading Non-Fiction → Kai reads Historical → OK
3. David’s due date is before Historical book but after *Imaginary Borders*
→ David: Dec 5, Historical: Dec 12, *Imaginary Borders*: Nov 30 → Nov 30 < Dec 5 < Dec 12 → OK
4. Maggie is reading Mystery → yes → OK
5. Kai’s book due date is Nov 30 or Dec 12 → Dec 12 → OK
6. Non-Fiction book is *Imaginary Borders* → yes → OK
7. *In Other Lands* is due before Historical but after Maggie’s book
→ *In Other Lands*: Dec 5, Historical: Dec 12, Maggie: Nov 21 → Nov 21 < Dec 5 < Dec 12 → OK
All clues satisfied!
---
| Due Date | Student | Book Title | Genre |
|----------------|----------|--------------------|------------------|
| November 21 | Maggie | The Diviners | Mystery |
| November 30 | Jordan | Imaginary Borders | Non-Fiction |
| December 5 | David | In Other Lands | Sci-Fi/Fantasy |
| December 12 | Kai | The Book Thief | Historical |
This solves the puzzle!
- Which student is reading which book
- The genre of each book
- The due date for each book
We have four students: David, Jordan, Kai, Maggie
Four books: Imaginary Borders, In Other Lands, The Book Thief, The Diviners
Four genres: Historical, Mystery, Non-Fiction, Sci-Fi/Fantasy
Four due dates: November 21, November 30, December 5, December 12
---
Step 1: List all clues
1. The four students are Jordan, the one reading *The Book Thief*, the one reading a Sci-Fi/Fantasy book, and the one with the November 21st due date.
2. Kai is not reading the Non-Fiction book.
3. David’s due date is before the due date for the Historical book but after the due date for *Imaginary Borders*.
4. Maggie is reading the Mystery book.
5. Kai’s book is due either on November 30th or December 12th.
6. The Non-Fiction book is *Imaginary Borders*.
7. *In Other Lands* is due before the Historical book but after Maggie’s book.
---
Let’s process these clues one at a time.
---
Clue 6: The Non-Fiction book is *Imaginary Borders*
So:
- *Imaginary Borders* → Genre: Non-Fiction
---
Clue 4: Maggie is reading the Mystery book
So:
- Maggie → Genre: Mystery
Therefore, Maggie is not reading *Imaginary Borders* (which is Non-Fiction), so she is reading one of the other three books.
---
Clue 2: Kai is not reading the Non-Fiction book
So Kai ≠ *Imaginary Borders*
Thus, Kai is reading one of: *In Other Lands, The Book Thief, The Diviners*
---
Clue 5: Kai’s book is due either on November 30th or December 12th
So Kai’s due date ∈ {Nov 30, Dec 12}
---
Clue 1: The four students are Jordan, the one reading *The Book Thief*, the one reading a Sci-Fi/Fantasy book, and the one with the November 21st due date.
This clue says that the four students can be identified in four ways:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
That means:
- These four identities are all different people, because they're listed as the four students.
So:
- Jordan ≠ reader of *The Book Thief*
- Jordan ≠ reader of Sci-Fi/Fantasy
- Jordan ≠ person with Nov 21 due date
And similarly:
- Reader of *The Book Thief* ≠ reader of Sci-Fi/Fantasy
- Reader of *The Book Thief* ≠ person with Nov 21 due date
- etc.
So all four categories (Jordan, *The Book Thief* reader, Sci-Fi/Fantasy reader, Nov 21 due date) are assigned to different students.
---
Now let’s look at clue 3:
Clue 3: David’s due date is before the due date for the Historical book but after the due date for *Imaginary Borders*.
So:
- Due date: Imaginary Borders < David < Historical
Let’s denote due dates in order:
- Nov 21 < Nov 30 < Dec 5 < Dec 12
So we can say:
- Imaginary Borders due date < David’s due date < Historical book due date
So David cannot have the earliest or latest due date — he must be in between.
Also, *Imaginary Borders* must be earlier than David, and David earlier than Historical.
So possible sequences:
Let’s suppose:
| Due Date | Book |
|----------------|--------------------|
| Nov 21 | Imaginary Borders |
| Nov 30 | David |
| Dec 5 | Historical |
| Dec 12 | ? |
Or:
| Due Date | Book |
|----------------|--------------------|
| Nov 21 | Imaginary Borders |
| Nov 30 | ? |
| Dec 5 | David |
| Dec 12 | Historical |
But David must be after Imaginary Borders and before Historical.
So possibilities:
- If Imaginary Borders = Nov 21, then David ∈ {Nov 30, Dec 5}, and Historical ∈ {Dec 5, Dec 12} — but David must be before Historical, so:
- David = Nov 30 → Historical = Dec 5 or Dec 12 → OK
- David = Dec 5 → Historical = Dec 12 → OK
- David = Dec 12 → no room for Historical later → invalid
So David cannot be Dec 12.
Similarly, if Imaginary Borders = Nov 30, then David must be after that → David ∈ {Dec 5, Dec 12}, and Historical > David → Historical = Dec 12 → only possibility.
But then:
- Imaginary Borders = Nov 30
- David = Dec 5
- Historical = Dec 12
Is that valid? Yes.
If Imaginary Borders = Dec 5 → then David > Dec 5 → David = Dec 12 → Historical > Dec 12 → impossible (no later date). So invalid.
So Imaginary Borders cannot be Dec 5 or Dec 12.
So Imaginary Borders must be Nov 21 or Nov 30
Let’s consider both cases.
But from clue 6: *Imaginary Borders* is Non-Fiction
So the book *Imaginary Borders* has genre: Non-Fiction
And from clue 4: Maggie reads Mystery → so not *Imaginary Borders*
So Maggie ≠ *Imaginary Borders*
Also, from clue 2: Kai ≠ Non-Fiction → Kai ≠ *Imaginary Borders*
So who can read *Imaginary Borders*?
Students: David, Jordan, Kai, Maggie
Kai and Maggie can't → so it must be David or Jordan
So *Imaginary Borders* → David or Jordan
Now back to clue 3:
Imaginary Borders < David < Historical
So David must come after Imaginary Borders
But if David is reading *Imaginary Borders*, then his due date = due date of *Imaginary Borders*, so he cannot be after it.
Contradiction.
Therefore, David cannot be reading *Imaginary Borders*
So *Imaginary Borders* must be read by Jordan
Because only Jordan left among David, Jordan, Kai, Maggie who could read it.
Wait: Kai and Maggie can't (clues 2 and 4), David can't (because of clue 3), so yes:
→ Jordan reads *Imaginary Borders*
And *Imaginary Borders* is Non-Fiction → Jordan’s book is Non-Fiction
So:
- Jordan → *Imaginary Borders* → Non-Fiction → due date: ?
From clue 3: Imaginary Borders < David < Historical
So Jordan’s due date < David’s due date < Historical book due date
So Jordan’s due date is earlier than David’s
So Jordan ≠ Dec 5 or Dec 12 (since David would have to be later)
So Jordan’s due date ∈ {Nov 21, Nov 30}
But David must be after Jordan and before Historical
So possible:
- Jordan = Nov 21 → David = Nov 30 or Dec 5 → Historical = Dec 5 or Dec 12
- Jordan = Nov 30 → David = Dec 5 → Historical = Dec 12
(If Jordan = Nov 30, David = Dec 5, Historical = Dec 12 → OK)
But if Jordan = Nov 30, David = Dec 5, Historical = Dec 12 → works
Can Jordan = Nov 21?
Yes, then David = Nov 30 or Dec 5, Historical = Dec 5 or Dec 12
But let’s see clue 7:
Clue 7: *In Other Lands* is due before the Historical book but after Maggie’s book.
So:
- Maggie’s due date < *In Other Lands* due date < Historical book due date
So Maggie < In Other Lands < Historical
So Maggie cannot be last, and In Other Lands cannot be first.
Also, from clue 1: The four students are:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
These are four distinct people.
So:
- Jordan ≠ *The Book Thief* reader
- Jordan ≠ Sci-Fi/Fantasy reader
- Jordan ≠ Nov 21 due date person
But we already know Jordan reads *Imaginary Borders* → Non-Fiction
So Jordan ≠ Sci-Fi/Fantasy → OK, consistent
Jordan ≠ *The Book Thief* → OK
Jordan ≠ Nov 21 due date → so Jordan’s due date ≠ Nov 21
Earlier we said Jordan’s due date ∈ {Nov 21, Nov 30} → but now cannot be Nov 21
So Jordan’s due date = Nov 30
Then from clue 3: Imaginary Borders < David < Historical
So Jordan (Nov 30) < David < Historical
So David must be after Nov 30 → David = Dec 5 or Dec 12
And Historical > David → so Historical = Dec 12
So:
- Historical book due date = Dec 12
- David’s due date = Dec 5 or Dec 12
But David < Historical → so David cannot be Dec 12 → David = Dec 5
So far:
| Student | Book | Genre | Due Date |
|----------|--------------------|--------------|--------------|
| Jordan | Imaginary Borders | Non-Fiction | Nov 30 |
| David | ? | ? | Dec 5 |
| ? | ? | Historical | Dec 12 |
And *Imaginary Borders* = Nov 30 → matches clue 3
Now clue 7: Maggie’s due date < *In Other Lands* due date < Historical book due date
Historical = Dec 12 → so *In Other Lands* < Dec 12 → so *In Other Lands* due date ∈ {Nov 21, Nov 30, Dec 5}
But Maggie < *In Other Lands*
So Maggie’s due date < *In Other Lands* due date < Dec 12
So possible due dates:
- Maggie: Nov 21 → *In Other Lands*: Nov 30 or Dec 5
- Maggie: Nov 30 → *In Other Lands*: Dec 5
- Maggie: Dec 5 → *In Other Lands*: none (only Dec 12 left, but must be < Dec 12 → no)
- Maggie: Dec 12 → *In Other Lands*: none → invalid
So Maggie cannot be Dec 5 or Dec 12
So Maggie ∈ {Nov 21, Nov 30}
But Jordan already has Nov 30 → so Maggie ≠ Nov 30 → Maggie = Nov 21
So Maggie’s due date = Nov 21
Then from clue 7: Maggie < *In Other Lands* < Historical
So *In Other Lands* due date ∈ {Nov 30, Dec 5}
But Nov 30 is taken by Jordan → so *In Other Lands* due date = Dec 5
So:
- *In Other Lands* → due date: Dec 5
Now David has due date = Dec 5 → so David reads *In Other Lands*
So:
- David → *In Other Lands* → due date: Dec 5
Now remaining due dates:
- Nov 21 → Maggie
- Nov 30 → Jordan
- Dec 5 → David
- Dec 12 → ??? → Historical book
So Historical book due date = Dec 12
Now remaining books:
- *The Book Thief*
- *The Diviners*
Remaining students:
- Kai (only one left)
Students: David, Jordan, Kai, Maggie
We have:
- David: *In Other Lands*
- Jordan: *Imaginary Borders*
- Maggie: ?
- Kai: ?
Books left: *The Book Thief*, *The Diviners*
Genres left:
- Historical → due Dec 12
- Mystery → Maggie reads it (clue 4)
- Sci-Fi/Fantasy → one book
- Non-Fiction → already assigned
Maggie reads Mystery → so her book is Mystery
So Maggie → Mystery
So her book is either *The Book Thief* or *The Diviners*
But *The Book Thief* → unknown genre
*The Diviners* → unknown genre
But one of them is Mystery, one is Sci-Fi/Fantasy
So Maggie reads one of those two, and it's Mystery
So the other is Sci-Fi/Fantasy
Now clue 1: The four students are:
- Jordan
- The one reading *The Book Thief*
- The one reading Sci-Fi/Fantasy
- The one with Nov 21 due date
These are four different people.
We already have:
- Jordan → Nov 30 due date → so not Nov 21 due date → OK
- Jordan ≠ *The Book Thief* → OK
- Jordan ≠ Sci-Fi/Fantasy → OK
Now:
- The one with Nov 21 due date → Maggie (we have her due date = Nov 21)
So Maggie is the one with Nov 21 due date
So in clue 1, “the one with Nov 21 due date” = Maggie
So Maggie is one of the four distinct roles.
Now the four roles:
1. Jordan → Jordan
2. *The Book Thief* reader → someone
3. Sci-Fi/Fantasy reader → someone
4. Nov 21 due date → Maggie
So these four are distinct → so Jordan ≠ Maggie → true
So *The Book Thief* reader ≠ Maggie, ≠ Jordan, ≠ Nov 21 due date person → wait, but Maggie is Nov 21 due date → so *The Book Thief* reader ≠ Maggie
Similarly, Sci-Fi/Fantasy reader ≠ Maggie, ≠ Jordan, ≠ Nov 21 due date person
But Maggie is Nov 21 due date → so Sci-Fi/Fantasy reader ≠ Maggie
So neither *The Book Thief* nor Sci-Fi/Fantasy reader is Maggie
But Maggie is reading a book → and it's Mystery (clue 4)
So her book is Mystery → so not *The Book Thief* (unless *The Book Thief* is Mystery), but we don’t know yet.
But the point is: *The Book Thief* reader ≠ Maggie → so Maggie ≠ *The Book Thief*
Similarly, Sci-Fi/Fantasy reader ≠ Maggie → so Maggie ≠ Sci-Fi/Fantasy
But Maggie reads Mystery → so she can’t be Sci-Fi/Fantasy anyway → consistent
So Maggie’s book is Mystery → so it must be one of the two remaining books: *The Book Thief* or *The Diviners*
But *The Book Thief* reader ≠ Maggie → so Maggie ≠ *The Book Thief*
Therefore, Maggie must be reading *The Diviners*
So:
- Maggie → *The Diviners* → Mystery
Then the remaining book: *The Book Thief* → must be read by Kai
So:
- Kai → *The Book Thief*
Now genres:
- *The Book Thief* → genre: ? → not Non-Fiction (already taken), not Mystery (Maggie has it), not Historical (that’s the Dec 12 book), so must be Sci-Fi/Fantasy
Wait: genres:
- Non-Fiction → *Imaginary Borders*
- Mystery → *The Diviners*
- Historical → ? → the book due Dec 12
- Sci-Fi/Fantasy → ? → the other one
We have:
- *The Book Thief* → read by Kai → genre: must be Sci-Fi/Fantasy or Historical?
But Historical is the genre of the book due Dec 12
We haven’t assigned the genre to *The Book Thief* yet.
But we have:
- *The Diviners* → Mystery
- *Imaginary Borders* → Non-Fiction
- *In Other Lands* → ? → David
- *The Book Thief* → ? → Kai
And Historical book → due Dec 12
Which book is due Dec 12?
We have:
- *The Diviners* → Maggie → due Nov 21
- *Imaginary Borders* → Jordan → Nov 30
- *In Other Lands* → David → Dec 5
- So *The Book Thief* → Kai → due date: only one left: Dec 12
Due dates:
- Nov 21 → Maggie
- Nov 30 → Jordan
- Dec 5 → David
- Dec 12 → Kai
So Kai → *The Book Thief* → due date: Dec 12
And the Historical book is due Dec 12 → so *The Book Thief* must be Historical
But earlier I thought *The Book Thief* might be Sci-Fi/Fantasy
But now: *The Book Thief* → due Dec 12 → same as Historical book → so *The Book Thief* is Historical
So:
- *The Book Thief* → Historical
But clue 1 says: the one reading Sci-Fi/Fantasy is one of the four distinct people
So Sci-Fi/Fantasy reader ≠ Jordan, ≠ Maggie, ≠ Nov 21 due date person (Maggie), ≠ *The Book Thief* reader (Kai)
Wait: *The Book Thief* reader is Kai → so Sci-Fi/Fantasy reader ≠ Kai
But who is left?
Students: David, Jordan, Kai, Maggie
We have:
- Jordan → *Imaginary Borders* → Non-Fiction
- Maggie → *The Diviners* → Mystery
- Kai → *The Book Thief* → Historical
- David → *In Other Lands* → ???
Only David left without genre
Genres:
- Non-Fiction → Jordan
- Mystery → Maggie
- Historical → Kai
- So David → Sci-Fi/Fantasy
So *In Other Lands* → Sci-Fi/Fantasy
Now check clue 5: Kai’s book is due either Nov 30 or Dec 12
Kai → due date = Dec 12 → OK
Clue 2: Kai is not reading Non-Fiction → Kai reads Historical → OK
Now check clue 1 again:
The four students are:
- Jordan
- The one reading *The Book Thief* → Kai
- The one reading Sci-Fi/Fantasy → David
- The one with Nov 21 due date → Maggie
All four are different → yes: Jordan, Kai, David, Maggie → all distinct → OK
Now verify all clues.
---
Final Assignments:
| Student | Book Title | Genre | Due Date |
|----------|--------------------|------------------|--------------|
| David | In Other Lands | Sci-Fi/Fantasy | Dec 5 |
| Jordan | Imaginary Borders | Non-Fiction | Nov 30 |
| Kai | The Book Thief | Historical | Dec 12 |
| Maggie | The Diviners | Mystery | Nov 21 |
---
Verify All Clues:
1. The four students are Jordan, the one reading *The Book Thief*, the one reading Sci-Fi/Fantasy, and the one with Nov 21 due date.
→ Jordan, Kai (*The Book Thief*), David (Sci-Fi/Fantasy), Maggie (Nov 21) → all different → OK
2. Kai is not reading Non-Fiction → Kai reads Historical → OK
3. David’s due date is before Historical book but after *Imaginary Borders*
→ David: Dec 5, Historical: Dec 12, *Imaginary Borders*: Nov 30 → Nov 30 < Dec 5 < Dec 12 → OK
4. Maggie is reading Mystery → yes → OK
5. Kai’s book due date is Nov 30 or Dec 12 → Dec 12 → OK
6. Non-Fiction book is *Imaginary Borders* → yes → OK
7. *In Other Lands* is due before Historical but after Maggie’s book
→ *In Other Lands*: Dec 5, Historical: Dec 12, Maggie: Nov 21 → Nov 21 < Dec 5 < Dec 12 → OK
All clues satisfied!
---
Final Answer Table:
| Due Date | Student | Book Title | Genre |
|----------------|----------|--------------------|------------------|
| November 21 | Maggie | The Diviners | Mystery |
| November 30 | Jordan | Imaginary Borders | Non-Fiction |
| December 5 | David | In Other Lands | Sci-Fi/Fantasy |
| December 12 | Kai | The Book Thief | Historical |
This solves the puzzle!
Parent Tip: Review the logic above to help your child master the concept of printable deductive reasoning puzzles.