Logic puzzle : r/puzzles - Free Printable
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Step-by-step solution for: Logic puzzle : r/puzzles
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Step-by-step solution for: Logic puzzle : r/puzzles
This is a logic puzzle where we need to determine the language, sport, and study preferences of five individuals: Daniel, George, Ethan, Victor, and Scott. Let's solve it step by step using the given clues.
1. A physics student, an athlete, a "Spaniard," and Victor recently watched George's highly successful performance at an international judo competition.
2. Scott and Daniel are neither learning Japanese nor studying maths, but one of them is a keen footballer.
3. Victor and the volleyball player have lunch with an IT student on Wednesdays, and later Scott joins them for coffee if his French lesson doesn't run late, which is not uncommon.
4. The footballer, the IT guy, and Scott have rooms on the second floor of the dormitory, while Ethan and the mathematician have rooms on the first floor.
5. A chemist chooses French as his foreign language of choice.
6. A physicist is not a volleyball player and does not learn Italian.
#### Clue 1:
- A physics student, an athlete, a "Spaniard," and Victor watched George's judo competition.
- This means George plays judo.
- Victor is not a physicist, athlete, or Spaniard.
- Since Victor watched the competition, he must be a Spaniard (speaks Spanish).
#### Clue 2:
- Scott and Daniel are neither learning Japanese nor studying maths.
- One of them is a keen footballer.
- This means neither Scott nor Daniel studies mathematics, and neither learns Japanese.
#### Clue 3:
- Victor and the volleyball player have lunch with an IT student on Wednesdays.
- Scott joins them for coffee if his French lesson doesn't run late.
- This implies Scott learns French.
- The IT student is studying Informatics.
#### Clue 4:
- The footballer, the IT guy, and Scott have rooms on the second floor.
- Ethan and the mathematician have rooms on the first floor.
- From this, we know Ethan studies mathematics.
#### Clue 5:
- A chemist chooses French as his foreign language of choice.
- Since Scott learns French, Scott is the chemist.
#### Clue 6:
- A physicist is not a volleyball player and does not learn Italian.
- This means the physicist does not play volleyball and does not learn Italian.
#### Step 1: Assign Known Information
- George plays judo.
- Victor speaks Spanish.
- Scott learns French and is the chemist.
- Ethan studies mathematics.
- The IT student studies Informatics.
#### Step 2: Use Clue 4
- The footballer, the IT guy, and Scott have rooms on the second floor.
- Ethan and the mathematician have rooms on the first floor.
- Since Ethan studies mathematics, he is on the first floor.
- The IT student (studying Informatics) is on the second floor.
- Scott is on the second floor.
#### Step 3: Determine the Footballer
- From Clue 2, either Scott or Daniel is the footballer.
- From Clue 4, the footballer is on the second floor.
- Since Scott is already on the second floor, Daniel must be the footballer.
#### Step 4: Determine the IT Student
- The IT student studies Informatics.
- From Clue 4, the IT student is on the second floor.
- Since Scott is on the second floor and is the chemist, the IT student must be George.
#### Step 5: Determine the Volleyball Player
- From Clue 3, Victor has lunch with the volleyball player and the IT student.
- The IT student is George.
- Since Victor is not the volleyball player (he is a Spaniard), the volleyball player must be Ethan.
#### Step 6: Determine the Physicist
- From Clue 6, the physicist is not a volleyball player and does not learn Italian.
- Ethan is the volleyball player, so he is not the physicist.
- Victor speaks Spanish, so he does not learn Italian.
- Since Scott is the chemist, he is not the physicist.
- Daniel is the footballer, so he is not the physicist.
- Therefore, George is the physicist.
#### Step 7: Assign Remaining Languages
- Scott learns French (Clue 5).
- Victor speaks Spanish (Clue 1).
- George is the physicist and does not learn Italian (Clue 6). He can learn German.
- Daniel is the footballer and does not learn Japanese (Clue 2). He can learn Italian.
- Ethan is the volleyball player and does not learn French (Scott learns French). He can learn Japanese.
| NAME | LANGUAGE | SPORT | STUDY |
|--------|----------------|--------------|---------------|
| DANIEL | ITALIAN | FOOTBALL | MATHEMATICS |
| GEORGE | GERMAN | JUDO | PHYSICS |
| ETHAN | JAPANESE | VOLLEYBALL | INFORMATICS |
| VICTOR | SPANISH | ATHLETICS | SOCIOLOGY |
| SCOTT | FRENCH | CYCLING | CHEMISTRY |
\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Name} & \text{Language} & \text{Sport} & \text{Study} \\
\hline
\text{Daniel} & \text{Italian} & \text{Football} & \text{Mathematics} \\
\hline
\text{George} & \text{German} & \text{Judo} & \text{Physics} \\
\hline
\text{Ethan} & \text{Japanese} & \text{Volleyball} & \text{Informatics} \\
\hline
\text{Victor} & \text{Spanish} & \text{Athletics} & \text{Sociology} \\
\hline
\text{Scott} & \text{French} & \text{Cycling} & \text{Chemistry} \\
\hline
\end{array}
}
\]
Clues Summary:
1. A physics student, an athlete, a "Spaniard," and Victor recently watched George's highly successful performance at an international judo competition.
2. Scott and Daniel are neither learning Japanese nor studying maths, but one of them is a keen footballer.
3. Victor and the volleyball player have lunch with an IT student on Wednesdays, and later Scott joins them for coffee if his French lesson doesn't run late, which is not uncommon.
4. The footballer, the IT guy, and Scott have rooms on the second floor of the dormitory, while Ethan and the mathematician have rooms on the first floor.
5. A chemist chooses French as his foreign language of choice.
6. A physicist is not a volleyball player and does not learn Italian.
Step-by-Step Solution:
#### Clue 1:
- A physics student, an athlete, a "Spaniard," and Victor watched George's judo competition.
- This means George plays judo.
- Victor is not a physicist, athlete, or Spaniard.
- Since Victor watched the competition, he must be a Spaniard (speaks Spanish).
#### Clue 2:
- Scott and Daniel are neither learning Japanese nor studying maths.
- One of them is a keen footballer.
- This means neither Scott nor Daniel studies mathematics, and neither learns Japanese.
#### Clue 3:
- Victor and the volleyball player have lunch with an IT student on Wednesdays.
- Scott joins them for coffee if his French lesson doesn't run late.
- This implies Scott learns French.
- The IT student is studying Informatics.
#### Clue 4:
- The footballer, the IT guy, and Scott have rooms on the second floor.
- Ethan and the mathematician have rooms on the first floor.
- From this, we know Ethan studies mathematics.
#### Clue 5:
- A chemist chooses French as his foreign language of choice.
- Since Scott learns French, Scott is the chemist.
#### Clue 6:
- A physicist is not a volleyball player and does not learn Italian.
- This means the physicist does not play volleyball and does not learn Italian.
Filling in the Grid:
#### Step 1: Assign Known Information
- George plays judo.
- Victor speaks Spanish.
- Scott learns French and is the chemist.
- Ethan studies mathematics.
- The IT student studies Informatics.
#### Step 2: Use Clue 4
- The footballer, the IT guy, and Scott have rooms on the second floor.
- Ethan and the mathematician have rooms on the first floor.
- Since Ethan studies mathematics, he is on the first floor.
- The IT student (studying Informatics) is on the second floor.
- Scott is on the second floor.
#### Step 3: Determine the Footballer
- From Clue 2, either Scott or Daniel is the footballer.
- From Clue 4, the footballer is on the second floor.
- Since Scott is already on the second floor, Daniel must be the footballer.
#### Step 4: Determine the IT Student
- The IT student studies Informatics.
- From Clue 4, the IT student is on the second floor.
- Since Scott is on the second floor and is the chemist, the IT student must be George.
#### Step 5: Determine the Volleyball Player
- From Clue 3, Victor has lunch with the volleyball player and the IT student.
- The IT student is George.
- Since Victor is not the volleyball player (he is a Spaniard), the volleyball player must be Ethan.
#### Step 6: Determine the Physicist
- From Clue 6, the physicist is not a volleyball player and does not learn Italian.
- Ethan is the volleyball player, so he is not the physicist.
- Victor speaks Spanish, so he does not learn Italian.
- Since Scott is the chemist, he is not the physicist.
- Daniel is the footballer, so he is not the physicist.
- Therefore, George is the physicist.
#### Step 7: Assign Remaining Languages
- Scott learns French (Clue 5).
- Victor speaks Spanish (Clue 1).
- George is the physicist and does not learn Italian (Clue 6). He can learn German.
- Daniel is the footballer and does not learn Japanese (Clue 2). He can learn Italian.
- Ethan is the volleyball player and does not learn French (Scott learns French). He can learn Japanese.
Final Grid:
| NAME | LANGUAGE | SPORT | STUDY |
|--------|----------------|--------------|---------------|
| DANIEL | ITALIAN | FOOTBALL | MATHEMATICS |
| GEORGE | GERMAN | JUDO | PHYSICS |
| ETHAN | JAPANESE | VOLLEYBALL | INFORMATICS |
| VICTOR | SPANISH | ATHLETICS | SOCIOLOGY |
| SCOTT | FRENCH | CYCLING | CHEMISTRY |
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{Name} & \text{Language} & \text{Sport} & \text{Study} \\
\hline
\text{Daniel} & \text{Italian} & \text{Football} & \text{Mathematics} \\
\hline
\text{George} & \text{German} & \text{Judo} & \text{Physics} \\
\hline
\text{Ethan} & \text{Japanese} & \text{Volleyball} & \text{Informatics} \\
\hline
\text{Victor} & \text{Spanish} & \text{Athletics} & \text{Sociology} \\
\hline
\text{Scott} & \text{French} & \text{Cycling} & \text{Chemistry} \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles with answers.