Free Logic Grid Puzzles Printable - Colab - Free Printable
Educational worksheet: Free Logic Grid Puzzles Printable - Colab. Download and print for classroom or home learning activities.
JPG
600×757
83.7 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1670115
⭐
Show Answer Key & Explanations
Step-by-step solution for: Free Logic Grid Puzzles Printable - Colab
▼
Show Answer Key & Explanations
Step-by-step solution for: Free Logic Grid Puzzles Printable - Colab
I'll solve this logic puzzle step by step, working through the clues carefully.
Let me start by organizing what we know:
Categories:
- First Names: Aubrey, Bryson, Cassandra, Ruben, Zachariah
- Lakes: Lake Champlain, Lake Geneva, Lake Tanganyika, Lake Titicaca, Lake Vostok
- Phone Numbers: 281-0911, 368-9614, 445-7953, 589-2812, 867-5309
- Birthdays: May 8, September 9, September 19, October 21, December 22
Let me work through the clues systematically:
Clue 6: The person born on May 8 is Bryson.
- May 8 = Bryson
Clue 3: The person born on October 21 lives on the Lake Vostok shoreline.
- October 21 = Lake Vostok
Clue 8: The person born on December 22 is not Aubrey.
- December 22 ≠ Aubrey
Clue 1 & 2:
- Person with phone 445-7953 was born before Zachariah
- Person with phone 445-7953 was born after Ruben
- So: Ruben < 445-7953 < Zachariah (in birth order)
Clue 4: The person whose phone number is 589-2812 doesn't own a home on Lake Vostok.
- 589-2812 ≠ Lake Vostok
Clue 5: The person who lives on the banks of Lake Titicaca was born before the person who lives on the banks of Lake Geneva.
- Lake Titicaca birthday < Lake Geneva birthday
Clue 7: Of Ruben and the person who lives on the banks of Lake Titicaca, one can be reached at 368-9614 and the other can be reached at 445-7953.
- {Ruben, Lake Titicaca} = {368-9614, 445-7953}
Clue 9: Either the person born on May 8 or the person born on September 9 can be reached at 867-5309.
- {May 8, September 9} includes 867-5309
Since May 8 = Bryson (from clue 6), either Bryson or September 9 has phone 867-5309.
Clue 10: The 5 people were Cassandra, the person who lives on the banks of Lake Tanganyika, the person whose phone number is 589-2812, the person born on September 9, and Aubrey.
This means these are all different people:
1. Cassandra
2. Lake Tanganyika person
3. 589-2812 person
4. September 9 person
5. Aubrey
So none of these can be the same person. This is very important!
Clue 11: The person whose phone number is 281-0911 is not Cassandra.
- 281-0911 ≠ Cassandra
Now let me deduce more:
From Clue 10, we know that Cassandra, Lake Tanganyika person, 589-2812 person, September 9 person, and Aubrey are all 5 different people. Since there are exactly 5 people total, these must be ALL the people in the puzzle.
So the five people are identified as:
1. Someone named Cassandra
2. Someone who lives at Lake Tanganyika
3. Someone with phone 589-2812
4. Someone born September 9
5. Someone named Aubrey
Wait, but we also have names like Bryson, Ruben, Zachariah. Let me reconsider...
Actually, clue 10 says "The 5 people were..." which lists 5 identifiers. These could overlap with actual names. Let me think differently.
The clue means: if you identify people by these characteristics, you get 5 distinct people. So:
- The person named Cassandra
- The person at Lake Tanganyika
- The person with phone 589-2812
- The person born Sept 9
- The person named Aubrey
These are 5 different individuals.
We know from clue 6 that May 8 = Bryson.
From clue 10, September 9 is someone (not necessarily named September 9, but born on that date).
Since May 8 = Bryson, and the Sept 9 person is one of the 5 people in clue 10, Bryson could potentially be the Sept 9 person... but wait, Bryson is born May 8, not Sept 9.
So Bryson is NOT any of the 5 people listed in clue 10? That can't be right since there are only 5 people total.
Let me re-read clue 10: "The 5 people were Cassandra, the person who lives on the banks of Lake Tanganyika, the person whose phone number is 589-2812, the person born on September 9, and Aubrey."
Hmm, I think this means when you look at the group of 5 people, they can be described/identified by these 5 characteristics - meaning each person has one of these identifying features, and they're all different.
But we have 5 first names: Aubrey, Bryson, Cassandra, Ruben, Zachariah.
If clue 10 lists 5 people using mixed identifiers, and one is "Aubrey" (a name) and one is "Cassandra" (a name), then the other three must have different names.
So the 5 people include:
- A person named Aubrey
- A person named Cassandra
- A person at Lake Tanganyika (with some other name)
- A person with phone 589-2812 (with some other name)
- A person born Sept 9 (with some other name)
Since we know May 8 = Bryson, Bryson is NOT the Sept 9 person.
The remaining names after Aubrey and Cassandra are: Bryson, Ruben, Zachariah.
So the Lake Tanganyika person, the 589-2812 person, and the Sept 9 person must be named Bryson, Ruben, or Zachariah (in some combination).
But Bryson = May 8, so Bryson ≠ Sept 9 person.
Let me use a grid approach. Let me create possible assignments:
Birthdays in order: May 8, Sept 9, Sept 19, Oct 21, Dec 22
From clue 3: Oct 21 = Lake Vostok
From clue 6: May 8 = Bryson
From clue 1&2: Ruben < (445-7953 person) < Zachariah
Possible birthday orders for Ruben, 445-7953, Zachariah:
- If Ruben = May 8, then 445-7953 = Sept 9 or later, and Zachariah = after that
- But May 8 = Bryson, so Ruben ≠ May 8
So Ruben must be Sept 9, Sept 19, or Oct 21 (can't be Dec 22 because someone needs to be after for Zachariah).
Let's say:
- Ruben = Sept 9 → 445-7953 = Sept 19 or Oct 21 → Zachariah = after that
- Ruben = Sept 19 → 445-7953 = Oct 21 or Dec 22 → Zachariah = after that (only Dec 22 works if 445-7953 = Oct 21)
- Ruben = Oct 21 → 445-7953 = Dec 22 → Zachariah = ? (no birthday after Dec 22)
So Ruben can't be Oct 21.
If Ruben = Sept 19:
- 445-7953 = Oct 21 or Dec 22
- If 445-7953 = Oct 21, then Zachariah = Dec 22
- If 445-7953 = Dec 22, then Zachariah = ? (nothing after)
So if Ruben = Sept 19, then 445-7953 = Oct 21 and Zachariah = Dec 22.
If Ruben = Sept 9:
- 445-7953 = Sept 19, Oct 21, or Dec 22
- If 445-7953 = Sept 19, Zachariah = Oct 21 or Dec 22
- If 445-7953 = Oct 21, Zachariah = Dec 22
- If 445-7953 = Dec 22, no room for Zachariah
Let me try: Ruben = Sept 9, 445-7953 = Sept 19, Zachariah = Oct 21 or Dec 22
Or: Ruben = Sept 9, 445-7953 = Oct 21, Zachariah = Dec 22
Or: Ruben = Sept 19, 445-7953 = Oct 21, Zachariah = Dec 22
Now, we know May 8 = Bryson, and Oct 21 = Lake Vostok.
Let me check which scenario works with clue 10.
From clue 10, the Sept 9 person is one of the 5 distinct people. The Sept 9 person cannot be:
- Cassandra (different person)
- Lake Tanganyika person (different person)
- 589-2812 person (different person)
- Aubrey (different person)
So the Sept 9 person has their own identity separate from these four.
Also from clue 10, none of these 5 can be the same person. So:
- Cassandra ≠ Lake Tanganyika person
- Cassandra ≠ 589-2812 person
- Cassandra ≠ Sept 9 person
- Cassandra ≠ Aubrey
- Lake Tanganyika person ≠ 589-2812 person
- Lake Tanganyika person ≠ Sept 9 person
- Lake Tanganyika person ≠ Aubrey
- 589-2812 person ≠ Sept 9 person
- 589-2812 person ≠ Aubrey
- Sept 9 person ≠ Aubrey
Now, we have 5 names: Aubrey, Bryson, Cassandra, Ruben, Zachariah.
From above, Aubrey and Cassandra are two of the five people in clue 10. The other three people in clue 10 are identified by Lake Tanganyika, 589-2812, and Sept 9.
The remaining names (Bryson, Ruben, Zachariah) must be assigned to the Lake Tanganyika person, 589-2812 person, and Sept 9 person (somehow).
We know Bryson = May 8, so Bryson ≠ Sept 9 person.
So either:
- Bryson = Lake Tanganyika person or 589-2812 person
- Ruben = Lake Tanganyika person, 589-2812 person, or Sept 9 person
- Zachariah = Lake Tanganyika person, 589-2812 person, or Sept 9 person
From clue 7: {Ruben, Lake Titicaca person} = {368-9614, 445-7953}
So Ruben has either 368-9614 or 445-7953, and the Lake Titicaca person has the other.
From clues 1&2, the 445-7953 person was born after Ruben and before Zachariah.
If Ruben has 445-7953, then Ruben was born after Ruben (contradiction). So Ruben ≠ 445-7953.
Therefore, from clue 7: Ruben = 368-9614 and Lake Titicaca person = 445-7953.
Great! So:
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
And from clues 1&2: Ruben < Lake Titicaca person (445-7953) < Zachariah
Now let's figure out birthdays:
- Ruben has birthday X
- Lake Titicaca person has birthday Y (where Y > X)
- Zachariah has birthday Z (where Z > Y)
We know:
- May 8 = Bryson
- Oct 21 = Lake Vostok
Available birthdays: May 8, Sept 9, Sept 19, Oct 21, Dec 22
For Ruben < Lake Titicaca < Zachariah:
- Possible: Ruben=Sept 9, Lake Titicaca=Sept 19, Zachariah=Oct 21 or Dec 22
- Possible: Ruben=Sept 9, Lake Titicaca=Oct 21, Zachariah=Dec 22
- Possible: Ruben=Sept 19, Lake Titicaca=Oct 21, Zachariah=Dec 22
- Not possible: Ruben=Oct 21 (need two birthdays after)
- Not possible: Ruben=May 8 (May 8 = Bryson, not Ruben)
Let me check each:
Option 1: Ruben=Sept 9, Lake Titicaca=Sept 19, Zachariah=Oct 21 or Dec 22
If Zachariah=Oct 21, then Oct 21=Zachariah=Lake Vostok (from clue 3). So Zachariah lives at Lake Vostok.
If Zachariah=Dec 22, then Oct 21 is someone else at Lake Vostok.
Option 2: Ruben=Sept 9, Lake Titicaca=Oct 21, Zachariah=Dec 22
Then Oct 21=Lake Titicaca=Lake Vostok (contradiction - can't be two lakes). So this doesn't work.
Option 3: Ruben=Sept 19, Lake Titicaca=Oct 21, Zachariah=Dec 22
Then Oct 21=Lake Titicaca=Lake Vostok (contradiction). Doesn't work.
So only Option 1 works, and specifically:
- Ruben = Sept 9
- Lake Titicaca person = Sept 19
- Zachariah = Oct 21 or Dec 22
If Zachariah = Oct 21, then Zachariah = Lake Vostok (clue 3).
If Zachariah = Dec 22, then someone else = Oct 21 = Lake Vostok.
Now, we established:
- Ruben = 368-9614
- Lake Titicaca person = 445-7953 (born Sept 19)
From clue 9: Either May 8 person or Sept 9 person has phone 867-5309.
- May 8 = Bryson
- Sept 9 = Ruben
So either Bryson or Ruben has 867-5309.
But Ruben = 368-9614, so Ruben ≠ 867-5309.
Therefore, Bryson = 867-5309.
So far:
- Bryson = May 8, 867-5309
- Ruben = Sept 9, 368-9614
- Lake Titicaca person = Sept 19, 445-7953
Now, who is the Lake Titicaca person? It's not Ruben (Ruben = Sept 9, Lake Titicaca = Sept 19).
The Lake Titicaca person has birthday Sept 19 and phone 445-7953.
From clue 10, the 5 people are: Cassandra, Lake Tanganyika person, 589-2812 person, Sept 9 person, Aubrey.
We know Sept 9 person = Ruben.
So the 5 people are: Cassandra, Lake Tanganyika person, 589-2812 person, Ruben, Aubrey.
The Lake Titicaca person (Sept 19, 445-7953) must be one of these 5.
Lake Titicaca person ≠ Ruben (different birthdays).
Lake Titicaca person ≠ Sept 9 person (that's Ruben).
Could Lake Titicaca person be Cassandra? Possibly.
Could Lake Titicaca person be Lake Tanganyika person? No, different lakes.
Could Lake Titicaca person be 589-2812 person? No, Lake Titicaca person has 445-7953.
Could Lake Titicaca person be Aubrey? Possibly.
So Lake Titicaca person = Cassandra or Aubrey.
Now let's figure out who has phone 589-2812.
Phones assigned so far:
- Bryson = 867-5309
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
Remaining phones: 281-0911, 589-2812
People without phones: Lake Tanganyika person, 589-2812 person (by definition has 589-2812), Cassandra, Aubrey, and whoever Lake Titicaca person is.
Wait, let me reconsider. The 589-2812 person is one of the 5 people in clue 10. So 589-2812 person is distinct from Cassandra, Lake Tanganyika person, Ruben (Sept 9), and Aubrey.
So the 5 people are:
1. Cassandra
2. Lake Tanganyika person
3. 589-2812 person
4. Ruben (Sept 9)
5. Aubrey
These are 5 distinct individuals with 5 different names. We know Ruben is one name. The other 4 must have names from {Aubrey, Bryson, Cassandra, Zachariah}.
But Aubrey and Cassandra are already listed as separate people. So:
- Person 1: Named Cassandra
- Person 2: Lives at Lake Tanganyika (name unknown yet)
- Person 3: Has phone 589-2812 (name unknown yet)
- Person 4: Named Ruben (born Sept 9)
- Person 5: Named Aubrey
The names used so far: Cassandra, Ruben, Aubrey.
Remaining names: Bryson, Zachariah.
So Lake Tanganyika person and 589-2812 person must be named Bryson and Zachariah (in some order).
We know Bryson = May 8, 867-5309.
If Bryson = Lake Tanganyika person, then Lake Tanganyika person = May 8, 867-5309.
If Bryson = 589-2812 person, then 589-2812 person = May 8, 867-5309. But that contradicts (589-2812 ≠ 867-5309).
So Bryson ≠ 589-2812 person.
Therefore, Bryson = Lake Tanganyika person.
So:
- Lake Tanganyika person = Bryson = May 8, 867-5309
And therefore:
- 589-2812 person = Zachariah
Now we have:
1. Cassandra (name only known so far)
2. Lake Tanganyika person = Bryson = May 8, 867-5309
3. 589-2812 person = Zachariah
4. Ruben = Sept 9, 368-9614
5. Aubrey (name only known so far)
We also know:
- Lake Titicaca person = Sept 19, 445-7953
- Lake Titicaca person is either Cassandra or Aubrey (from earlier deduction)
And:
- Zachariah = 589-2812 person
- From clues 1&2: Ruben (Sept 9) < Lake Titicaca (Sept 19) < Zachariah
So Zachariah's birthday is after Sept 19. Options: Oct 21 or Dec 22.
We also know Oct 21 = Lake Vostok (clue 3).
If Zachariah = Oct 21, then Zachariah = Lake Vostok.
If Zachariah = Dec 22, then someone else = Oct 21 = Lake Vostok.
Now, let's figure out where everyone lives:
Lakes: Lake Champlain, Lake Geneva, Lake Tanganyika, Lake Titicaca, Lake Vostok
We know:
- Bryson = Lake Tanganyika
- Lake Titicaca person = Sept 19, 445-7953 (either Cassandra or Aubrey)
- Oct 21 = Lake Vostok
From clue 4: 589-2812 person ≠ Lake Vostok.
589-2812 person = Zachariah.
So Zachariah ≠ Lake Vostok.
If Zachariah = Oct 21, then Zachariah = Lake Vostok (contradiction with above).
Therefore, Zachariah ≠ Oct 21.
So Zachariah = Dec 22.
And therefore, someone else = Oct 21 = Lake Vostok.
Who can be Oct 21?
Birthdays assigned:
- May 8 = Bryson
- Sept 9 = Ruben
- Sept 19 = Lake Titicaca person
- Dec 22 = Zachariah
Remaining birthday: Oct 21.
People without birthdays assigned: Cassandra, Aubrey.
One of them = Lake Titicaca person = Sept 19.
The other = Oct 21 = Lake Vostok.
So either:
- Cassandra = Lake Titicaca = Sept 19, 445-7953 and Aubrey = Oct 21 = Lake Vostok
OR
- Aubrey = Lake Titicaca = Sept 19, 445-7953 and Cassandra = Oct 21 = Lake Vostok
From clue 8: Dec 22 person ≠ Aubrey.
Dec 22 = Zachariah, so this is consistent (Zachariah ≠ Aubrey). ✓
From clue 11: 281-0911 ≠ Cassandra.
Let's figure out phones:
Phones assigned:
- Bryson = 867-5309
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
- Zachariah = 589-2812
Remaining phone: 281-0911
People without phones: Cassandra, Aubrey (one of whom is Lake Titicaca person with 445-7953).
So one of Cassandra or Aubrey has 445-7953 (the Lake Titicaca person).
The other has 281-0911.
From clue 11: 281-0911 ≠ Cassandra.
So Cassandra ≠ 281-0911.
Therefore, Cassandra = 445-7953 = Lake Titicaca person.
And Aubrey = 281-0911.
So:
- Cassandra = Lake Titicaca = Sept 19, 445-7953
- Aubrey = Oct 21 = Lake Vostok, 281-0911
Let me verify this against clue 8: Dec 22 ≠ Aubrey. ✓ (Dec 22 = Zachariah)
Now let's summarize what we have:
1. Bryson: May 8, Lake Tanganyika, 867-5309
2. Ruben: Sept 9, ?, 368-9614
3. Cassandra: Sept 19, Lake Titicaca, 445-7953
4. Zachariah: Dec 22, ?, 589-2812
5. Aubrey: Oct 21, Lake Vostok, 281-0911
Lakes used: Lake Tanganyika, Lake Titicaca, Lake Vostok
Lakes remaining: Lake Champlain, Lake Geneva
People without lakes: Ruben, Zachariah
From clue 5: Lake Titicaca person born before Lake Geneva person.
Lake Titicaca = Cassandra = Sept 19.
So Lake Geneva person born after Sept 19.
Options for Lake Geneva: Oct 21 (Aubrey) or Dec 22 (Zachariah).
But Aubrey = Lake Vostok, so Aubrey ≠ Lake Geneva.
Therefore, Zachariah = Lake Geneva.
So Zachariah = Dec 22, Lake Geneva, 589-2812.
And therefore, Ruben = Lake Champlain (last lake remaining).
Let me verify: Ruben = Sept 9, Lake Champlain, 368-9614.
Check clue 5: Lake Titicaca (Cassandra, Sept 19) born before Lake Geneva (Zachariah, Dec 22). ✓ (Sept 19 < Dec 22)
Now let me verify all clues:
Clue 1: Person with 445-7953 born before Zachariah.
445-7953 = Cassandra = Sept 19. Zachariah = Dec 22. ✓ (Sept 19 < Dec 22)
Clue 2: Person with 445-7953 born after Ruben.
445-7953 = Cassandra = Sept 19. Ruben = Sept 9. ✓ (Sept 9 < Sept 19)
Clue 3: Person born Oct 21 lives on Lake Vostok.
Oct 21 = Aubrey = Lake Vostok. ✓
Clue 4: Person with 589-2812 doesn't own home on Lake Vostok.
589-2812 = Zachariah = Lake Geneva. ✓ (Lake Geneva ≠ Lake Vostok)
Clue 5: Lake Titicaca person born before Lake Geneva person.
Lake Titicaca = Cassandra = Sept 19. Lake Geneva = Zachariah = Dec 22. ✓
Clue 6: Person born May 8 is Bryson. ✓
Clue 7: Of Ruben and Lake Titicaca person, one has 368-9614 and other has 445-7953.
Ruben = 368-9614. Lake Titicaca = Cassandra = 445-7953. ✓
Clue 8: Person born Dec 22 is not Aubrey.
Dec 22 = Zachariah. ✓
Clue 9: Either May 8 person or Sept 9 person can be reached at 867-5309.
May 8 = Bryson = 867-5309. ✓
Clue 10: The 5 people were Cassandra, Lake Tanganyika person, 589-2812 person, Sept 9 person, and Aubrey.
- Cassandra = Cassandra ✓
- Lake Tanganyika person = Bryson ✓
- 589-2812 person = Zachariah ✓
- Sept 9 person = Ruben ✓
- Aubrey = Aubrey ✓
All 5 are different people. ✓
Clue 11: Person with 281-0911 is not Cassandra.
281-0911 = Aubrey. ✓
Perfect! All clues check out.
Final Answer:
| First Name | Birthday | Lake | Phone Number |
|------------|----------|------|--------------|
| Aubrey | October 21 | Lake Vostok | 281-0911 |
| Bryson | May 8 | Lake Tanganyika | 867-5309 |
| Cassandra | September 19 | Lake Titicaca | 445-7953 |
| Ruben | September 9 | Lake Champlain | 368-9614 |
| Zachariah | December 22 | Lake Geneva | 589-2812 |
Let me start by organizing what we know:
Categories:
- First Names: Aubrey, Bryson, Cassandra, Ruben, Zachariah
- Lakes: Lake Champlain, Lake Geneva, Lake Tanganyika, Lake Titicaca, Lake Vostok
- Phone Numbers: 281-0911, 368-9614, 445-7953, 589-2812, 867-5309
- Birthdays: May 8, September 9, September 19, October 21, December 22
Let me work through the clues systematically:
Clue 6: The person born on May 8 is Bryson.
- May 8 = Bryson
Clue 3: The person born on October 21 lives on the Lake Vostok shoreline.
- October 21 = Lake Vostok
Clue 8: The person born on December 22 is not Aubrey.
- December 22 ≠ Aubrey
Clue 1 & 2:
- Person with phone 445-7953 was born before Zachariah
- Person with phone 445-7953 was born after Ruben
- So: Ruben < 445-7953 < Zachariah (in birth order)
Clue 4: The person whose phone number is 589-2812 doesn't own a home on Lake Vostok.
- 589-2812 ≠ Lake Vostok
Clue 5: The person who lives on the banks of Lake Titicaca was born before the person who lives on the banks of Lake Geneva.
- Lake Titicaca birthday < Lake Geneva birthday
Clue 7: Of Ruben and the person who lives on the banks of Lake Titicaca, one can be reached at 368-9614 and the other can be reached at 445-7953.
- {Ruben, Lake Titicaca} = {368-9614, 445-7953}
Clue 9: Either the person born on May 8 or the person born on September 9 can be reached at 867-5309.
- {May 8, September 9} includes 867-5309
Since May 8 = Bryson (from clue 6), either Bryson or September 9 has phone 867-5309.
Clue 10: The 5 people were Cassandra, the person who lives on the banks of Lake Tanganyika, the person whose phone number is 589-2812, the person born on September 9, and Aubrey.
This means these are all different people:
1. Cassandra
2. Lake Tanganyika person
3. 589-2812 person
4. September 9 person
5. Aubrey
So none of these can be the same person. This is very important!
Clue 11: The person whose phone number is 281-0911 is not Cassandra.
- 281-0911 ≠ Cassandra
Now let me deduce more:
From Clue 10, we know that Cassandra, Lake Tanganyika person, 589-2812 person, September 9 person, and Aubrey are all 5 different people. Since there are exactly 5 people total, these must be ALL the people in the puzzle.
So the five people are identified as:
1. Someone named Cassandra
2. Someone who lives at Lake Tanganyika
3. Someone with phone 589-2812
4. Someone born September 9
5. Someone named Aubrey
Wait, but we also have names like Bryson, Ruben, Zachariah. Let me reconsider...
Actually, clue 10 says "The 5 people were..." which lists 5 identifiers. These could overlap with actual names. Let me think differently.
The clue means: if you identify people by these characteristics, you get 5 distinct people. So:
- The person named Cassandra
- The person at Lake Tanganyika
- The person with phone 589-2812
- The person born Sept 9
- The person named Aubrey
These are 5 different individuals.
We know from clue 6 that May 8 = Bryson.
From clue 10, September 9 is someone (not necessarily named September 9, but born on that date).
Since May 8 = Bryson, and the Sept 9 person is one of the 5 people in clue 10, Bryson could potentially be the Sept 9 person... but wait, Bryson is born May 8, not Sept 9.
So Bryson is NOT any of the 5 people listed in clue 10? That can't be right since there are only 5 people total.
Let me re-read clue 10: "The 5 people were Cassandra, the person who lives on the banks of Lake Tanganyika, the person whose phone number is 589-2812, the person born on September 9, and Aubrey."
Hmm, I think this means when you look at the group of 5 people, they can be described/identified by these 5 characteristics - meaning each person has one of these identifying features, and they're all different.
But we have 5 first names: Aubrey, Bryson, Cassandra, Ruben, Zachariah.
If clue 10 lists 5 people using mixed identifiers, and one is "Aubrey" (a name) and one is "Cassandra" (a name), then the other three must have different names.
So the 5 people include:
- A person named Aubrey
- A person named Cassandra
- A person at Lake Tanganyika (with some other name)
- A person with phone 589-2812 (with some other name)
- A person born Sept 9 (with some other name)
Since we know May 8 = Bryson, Bryson is NOT the Sept 9 person.
The remaining names after Aubrey and Cassandra are: Bryson, Ruben, Zachariah.
So the Lake Tanganyika person, the 589-2812 person, and the Sept 9 person must be named Bryson, Ruben, or Zachariah (in some combination).
But Bryson = May 8, so Bryson ≠ Sept 9 person.
Let me use a grid approach. Let me create possible assignments:
Birthdays in order: May 8, Sept 9, Sept 19, Oct 21, Dec 22
From clue 3: Oct 21 = Lake Vostok
From clue 6: May 8 = Bryson
From clue 1&2: Ruben < (445-7953 person) < Zachariah
Possible birthday orders for Ruben, 445-7953, Zachariah:
- If Ruben = May 8, then 445-7953 = Sept 9 or later, and Zachariah = after that
- But May 8 = Bryson, so Ruben ≠ May 8
So Ruben must be Sept 9, Sept 19, or Oct 21 (can't be Dec 22 because someone needs to be after for Zachariah).
Let's say:
- Ruben = Sept 9 → 445-7953 = Sept 19 or Oct 21 → Zachariah = after that
- Ruben = Sept 19 → 445-7953 = Oct 21 or Dec 22 → Zachariah = after that (only Dec 22 works if 445-7953 = Oct 21)
- Ruben = Oct 21 → 445-7953 = Dec 22 → Zachariah = ? (no birthday after Dec 22)
So Ruben can't be Oct 21.
If Ruben = Sept 19:
- 445-7953 = Oct 21 or Dec 22
- If 445-7953 = Oct 21, then Zachariah = Dec 22
- If 445-7953 = Dec 22, then Zachariah = ? (nothing after)
So if Ruben = Sept 19, then 445-7953 = Oct 21 and Zachariah = Dec 22.
If Ruben = Sept 9:
- 445-7953 = Sept 19, Oct 21, or Dec 22
- If 445-7953 = Sept 19, Zachariah = Oct 21 or Dec 22
- If 445-7953 = Oct 21, Zachariah = Dec 22
- If 445-7953 = Dec 22, no room for Zachariah
Let me try: Ruben = Sept 9, 445-7953 = Sept 19, Zachariah = Oct 21 or Dec 22
Or: Ruben = Sept 9, 445-7953 = Oct 21, Zachariah = Dec 22
Or: Ruben = Sept 19, 445-7953 = Oct 21, Zachariah = Dec 22
Now, we know May 8 = Bryson, and Oct 21 = Lake Vostok.
Let me check which scenario works with clue 10.
From clue 10, the Sept 9 person is one of the 5 distinct people. The Sept 9 person cannot be:
- Cassandra (different person)
- Lake Tanganyika person (different person)
- 589-2812 person (different person)
- Aubrey (different person)
So the Sept 9 person has their own identity separate from these four.
Also from clue 10, none of these 5 can be the same person. So:
- Cassandra ≠ Lake Tanganyika person
- Cassandra ≠ 589-2812 person
- Cassandra ≠ Sept 9 person
- Cassandra ≠ Aubrey
- Lake Tanganyika person ≠ 589-2812 person
- Lake Tanganyika person ≠ Sept 9 person
- Lake Tanganyika person ≠ Aubrey
- 589-2812 person ≠ Sept 9 person
- 589-2812 person ≠ Aubrey
- Sept 9 person ≠ Aubrey
Now, we have 5 names: Aubrey, Bryson, Cassandra, Ruben, Zachariah.
From above, Aubrey and Cassandra are two of the five people in clue 10. The other three people in clue 10 are identified by Lake Tanganyika, 589-2812, and Sept 9.
The remaining names (Bryson, Ruben, Zachariah) must be assigned to the Lake Tanganyika person, 589-2812 person, and Sept 9 person (somehow).
We know Bryson = May 8, so Bryson ≠ Sept 9 person.
So either:
- Bryson = Lake Tanganyika person or 589-2812 person
- Ruben = Lake Tanganyika person, 589-2812 person, or Sept 9 person
- Zachariah = Lake Tanganyika person, 589-2812 person, or Sept 9 person
From clue 7: {Ruben, Lake Titicaca person} = {368-9614, 445-7953}
So Ruben has either 368-9614 or 445-7953, and the Lake Titicaca person has the other.
From clues 1&2, the 445-7953 person was born after Ruben and before Zachariah.
If Ruben has 445-7953, then Ruben was born after Ruben (contradiction). So Ruben ≠ 445-7953.
Therefore, from clue 7: Ruben = 368-9614 and Lake Titicaca person = 445-7953.
Great! So:
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
And from clues 1&2: Ruben < Lake Titicaca person (445-7953) < Zachariah
Now let's figure out birthdays:
- Ruben has birthday X
- Lake Titicaca person has birthday Y (where Y > X)
- Zachariah has birthday Z (where Z > Y)
We know:
- May 8 = Bryson
- Oct 21 = Lake Vostok
Available birthdays: May 8, Sept 9, Sept 19, Oct 21, Dec 22
For Ruben < Lake Titicaca < Zachariah:
- Possible: Ruben=Sept 9, Lake Titicaca=Sept 19, Zachariah=Oct 21 or Dec 22
- Possible: Ruben=Sept 9, Lake Titicaca=Oct 21, Zachariah=Dec 22
- Possible: Ruben=Sept 19, Lake Titicaca=Oct 21, Zachariah=Dec 22
- Not possible: Ruben=Oct 21 (need two birthdays after)
- Not possible: Ruben=May 8 (May 8 = Bryson, not Ruben)
Let me check each:
Option 1: Ruben=Sept 9, Lake Titicaca=Sept 19, Zachariah=Oct 21 or Dec 22
If Zachariah=Oct 21, then Oct 21=Zachariah=Lake Vostok (from clue 3). So Zachariah lives at Lake Vostok.
If Zachariah=Dec 22, then Oct 21 is someone else at Lake Vostok.
Option 2: Ruben=Sept 9, Lake Titicaca=Oct 21, Zachariah=Dec 22
Then Oct 21=Lake Titicaca=Lake Vostok (contradiction - can't be two lakes). So this doesn't work.
Option 3: Ruben=Sept 19, Lake Titicaca=Oct 21, Zachariah=Dec 22
Then Oct 21=Lake Titicaca=Lake Vostok (contradiction). Doesn't work.
So only Option 1 works, and specifically:
- Ruben = Sept 9
- Lake Titicaca person = Sept 19
- Zachariah = Oct 21 or Dec 22
If Zachariah = Oct 21, then Zachariah = Lake Vostok (clue 3).
If Zachariah = Dec 22, then someone else = Oct 21 = Lake Vostok.
Now, we established:
- Ruben = 368-9614
- Lake Titicaca person = 445-7953 (born Sept 19)
From clue 9: Either May 8 person or Sept 9 person has phone 867-5309.
- May 8 = Bryson
- Sept 9 = Ruben
So either Bryson or Ruben has 867-5309.
But Ruben = 368-9614, so Ruben ≠ 867-5309.
Therefore, Bryson = 867-5309.
So far:
- Bryson = May 8, 867-5309
- Ruben = Sept 9, 368-9614
- Lake Titicaca person = Sept 19, 445-7953
Now, who is the Lake Titicaca person? It's not Ruben (Ruben = Sept 9, Lake Titicaca = Sept 19).
The Lake Titicaca person has birthday Sept 19 and phone 445-7953.
From clue 10, the 5 people are: Cassandra, Lake Tanganyika person, 589-2812 person, Sept 9 person, Aubrey.
We know Sept 9 person = Ruben.
So the 5 people are: Cassandra, Lake Tanganyika person, 589-2812 person, Ruben, Aubrey.
The Lake Titicaca person (Sept 19, 445-7953) must be one of these 5.
Lake Titicaca person ≠ Ruben (different birthdays).
Lake Titicaca person ≠ Sept 9 person (that's Ruben).
Could Lake Titicaca person be Cassandra? Possibly.
Could Lake Titicaca person be Lake Tanganyika person? No, different lakes.
Could Lake Titicaca person be 589-2812 person? No, Lake Titicaca person has 445-7953.
Could Lake Titicaca person be Aubrey? Possibly.
So Lake Titicaca person = Cassandra or Aubrey.
Now let's figure out who has phone 589-2812.
Phones assigned so far:
- Bryson = 867-5309
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
Remaining phones: 281-0911, 589-2812
People without phones: Lake Tanganyika person, 589-2812 person (by definition has 589-2812), Cassandra, Aubrey, and whoever Lake Titicaca person is.
Wait, let me reconsider. The 589-2812 person is one of the 5 people in clue 10. So 589-2812 person is distinct from Cassandra, Lake Tanganyika person, Ruben (Sept 9), and Aubrey.
So the 5 people are:
1. Cassandra
2. Lake Tanganyika person
3. 589-2812 person
4. Ruben (Sept 9)
5. Aubrey
These are 5 distinct individuals with 5 different names. We know Ruben is one name. The other 4 must have names from {Aubrey, Bryson, Cassandra, Zachariah}.
But Aubrey and Cassandra are already listed as separate people. So:
- Person 1: Named Cassandra
- Person 2: Lives at Lake Tanganyika (name unknown yet)
- Person 3: Has phone 589-2812 (name unknown yet)
- Person 4: Named Ruben (born Sept 9)
- Person 5: Named Aubrey
The names used so far: Cassandra, Ruben, Aubrey.
Remaining names: Bryson, Zachariah.
So Lake Tanganyika person and 589-2812 person must be named Bryson and Zachariah (in some order).
We know Bryson = May 8, 867-5309.
If Bryson = Lake Tanganyika person, then Lake Tanganyika person = May 8, 867-5309.
If Bryson = 589-2812 person, then 589-2812 person = May 8, 867-5309. But that contradicts (589-2812 ≠ 867-5309).
So Bryson ≠ 589-2812 person.
Therefore, Bryson = Lake Tanganyika person.
So:
- Lake Tanganyika person = Bryson = May 8, 867-5309
And therefore:
- 589-2812 person = Zachariah
Now we have:
1. Cassandra (name only known so far)
2. Lake Tanganyika person = Bryson = May 8, 867-5309
3. 589-2812 person = Zachariah
4. Ruben = Sept 9, 368-9614
5. Aubrey (name only known so far)
We also know:
- Lake Titicaca person = Sept 19, 445-7953
- Lake Titicaca person is either Cassandra or Aubrey (from earlier deduction)
And:
- Zachariah = 589-2812 person
- From clues 1&2: Ruben (Sept 9) < Lake Titicaca (Sept 19) < Zachariah
So Zachariah's birthday is after Sept 19. Options: Oct 21 or Dec 22.
We also know Oct 21 = Lake Vostok (clue 3).
If Zachariah = Oct 21, then Zachariah = Lake Vostok.
If Zachariah = Dec 22, then someone else = Oct 21 = Lake Vostok.
Now, let's figure out where everyone lives:
Lakes: Lake Champlain, Lake Geneva, Lake Tanganyika, Lake Titicaca, Lake Vostok
We know:
- Bryson = Lake Tanganyika
- Lake Titicaca person = Sept 19, 445-7953 (either Cassandra or Aubrey)
- Oct 21 = Lake Vostok
From clue 4: 589-2812 person ≠ Lake Vostok.
589-2812 person = Zachariah.
So Zachariah ≠ Lake Vostok.
If Zachariah = Oct 21, then Zachariah = Lake Vostok (contradiction with above).
Therefore, Zachariah ≠ Oct 21.
So Zachariah = Dec 22.
And therefore, someone else = Oct 21 = Lake Vostok.
Who can be Oct 21?
Birthdays assigned:
- May 8 = Bryson
- Sept 9 = Ruben
- Sept 19 = Lake Titicaca person
- Dec 22 = Zachariah
Remaining birthday: Oct 21.
People without birthdays assigned: Cassandra, Aubrey.
One of them = Lake Titicaca person = Sept 19.
The other = Oct 21 = Lake Vostok.
So either:
- Cassandra = Lake Titicaca = Sept 19, 445-7953 and Aubrey = Oct 21 = Lake Vostok
OR
- Aubrey = Lake Titicaca = Sept 19, 445-7953 and Cassandra = Oct 21 = Lake Vostok
From clue 8: Dec 22 person ≠ Aubrey.
Dec 22 = Zachariah, so this is consistent (Zachariah ≠ Aubrey). ✓
From clue 11: 281-0911 ≠ Cassandra.
Let's figure out phones:
Phones assigned:
- Bryson = 867-5309
- Ruben = 368-9614
- Lake Titicaca person = 445-7953
- Zachariah = 589-2812
Remaining phone: 281-0911
People without phones: Cassandra, Aubrey (one of whom is Lake Titicaca person with 445-7953).
So one of Cassandra or Aubrey has 445-7953 (the Lake Titicaca person).
The other has 281-0911.
From clue 11: 281-0911 ≠ Cassandra.
So Cassandra ≠ 281-0911.
Therefore, Cassandra = 445-7953 = Lake Titicaca person.
And Aubrey = 281-0911.
So:
- Cassandra = Lake Titicaca = Sept 19, 445-7953
- Aubrey = Oct 21 = Lake Vostok, 281-0911
Let me verify this against clue 8: Dec 22 ≠ Aubrey. ✓ (Dec 22 = Zachariah)
Now let's summarize what we have:
1. Bryson: May 8, Lake Tanganyika, 867-5309
2. Ruben: Sept 9, ?, 368-9614
3. Cassandra: Sept 19, Lake Titicaca, 445-7953
4. Zachariah: Dec 22, ?, 589-2812
5. Aubrey: Oct 21, Lake Vostok, 281-0911
Lakes used: Lake Tanganyika, Lake Titicaca, Lake Vostok
Lakes remaining: Lake Champlain, Lake Geneva
People without lakes: Ruben, Zachariah
From clue 5: Lake Titicaca person born before Lake Geneva person.
Lake Titicaca = Cassandra = Sept 19.
So Lake Geneva person born after Sept 19.
Options for Lake Geneva: Oct 21 (Aubrey) or Dec 22 (Zachariah).
But Aubrey = Lake Vostok, so Aubrey ≠ Lake Geneva.
Therefore, Zachariah = Lake Geneva.
So Zachariah = Dec 22, Lake Geneva, 589-2812.
And therefore, Ruben = Lake Champlain (last lake remaining).
Let me verify: Ruben = Sept 9, Lake Champlain, 368-9614.
Check clue 5: Lake Titicaca (Cassandra, Sept 19) born before Lake Geneva (Zachariah, Dec 22). ✓ (Sept 19 < Dec 22)
Now let me verify all clues:
Clue 1: Person with 445-7953 born before Zachariah.
445-7953 = Cassandra = Sept 19. Zachariah = Dec 22. ✓ (Sept 19 < Dec 22)
Clue 2: Person with 445-7953 born after Ruben.
445-7953 = Cassandra = Sept 19. Ruben = Sept 9. ✓ (Sept 9 < Sept 19)
Clue 3: Person born Oct 21 lives on Lake Vostok.
Oct 21 = Aubrey = Lake Vostok. ✓
Clue 4: Person with 589-2812 doesn't own home on Lake Vostok.
589-2812 = Zachariah = Lake Geneva. ✓ (Lake Geneva ≠ Lake Vostok)
Clue 5: Lake Titicaca person born before Lake Geneva person.
Lake Titicaca = Cassandra = Sept 19. Lake Geneva = Zachariah = Dec 22. ✓
Clue 6: Person born May 8 is Bryson. ✓
Clue 7: Of Ruben and Lake Titicaca person, one has 368-9614 and other has 445-7953.
Ruben = 368-9614. Lake Titicaca = Cassandra = 445-7953. ✓
Clue 8: Person born Dec 22 is not Aubrey.
Dec 22 = Zachariah. ✓
Clue 9: Either May 8 person or Sept 9 person can be reached at 867-5309.
May 8 = Bryson = 867-5309. ✓
Clue 10: The 5 people were Cassandra, Lake Tanganyika person, 589-2812 person, Sept 9 person, and Aubrey.
- Cassandra = Cassandra ✓
- Lake Tanganyika person = Bryson ✓
- 589-2812 person = Zachariah ✓
- Sept 9 person = Ruben ✓
- Aubrey = Aubrey ✓
All 5 are different people. ✓
Clue 11: Person with 281-0911 is not Cassandra.
281-0911 = Aubrey. ✓
Perfect! All clues check out.
Final Answer:
| First Name | Birthday | Lake | Phone Number |
|------------|----------|------|--------------|
| Aubrey | October 21 | Lake Vostok | 281-0911 |
| Bryson | May 8 | Lake Tanganyika | 867-5309 |
| Cassandra | September 19 | Lake Titicaca | 445-7953 |
| Ruben | September 9 | Lake Champlain | 368-9614 |
| Zachariah | December 22 | Lake Geneva | 589-2812 |
Parent Tip: Review the logic above to help your child master the concept of puzzlersparadise logic puzzles printable.