Question 1: Basic Two-Statement Syllogism
Statements: Some actors are singers. All the singers are dancers.
Conclusions:
- Some actors are dancers.
- No singer is actor.
Question 2: Universal Positive Statements
Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions:
- All the flutes are instruments.
- All the harmoniums are flutes.
Question 3: Three-Statement Complex Syllogism
Statements: Some keys are staplers. Some staplers are stickers. All the stickers are pens.
Conclusions:
- Some pens are staplers.
- Some stickers are keys.
- No sticker is key.
- Some staplers are keys.
Question 4: Negative Universal Statement
Statements: No bird is animal. All cows are animals.
Conclusions:
- No cow is bird.
- All animals are cows.
Question 5: Particular Negative Statements
Statements: Some doctors are teachers. No teacher is businessman.
Conclusions:
- Some doctors are not businessmen.
- No doctor is businessman.
Question 6: Mixed Statement Types
Statements: All roses are flowers. Some flowers are red. No red thing is blue.
Conclusions:
- Some roses are not blue.
- All roses are red.
- Some flowers are not blue.
Question 7: Chain Reasoning Syllogism
Statements: All books are papers. Some papers are files. All files are documents.
Conclusions:
- Some documents are papers.
- Some books are documents.
- All papers are documents.
Question 8: Overlapping Categories
Statements: Some cats are dogs. All dogs are animals. No animal is plant.
Conclusions:
- Some cats are animals.
- No cat is plant.
- Some cats are not plants.
Question 9: Multiple Negative Statements
Statements: No pen is pencil. Some pencils are erasers. All erasers are tools.
Conclusions:
- Some tools are pencils.
- No pen is eraser.
- Some erasers are not pens.
Question 10: Complex Four-Conclusion Problem
Statements: All managers are employees. Some employees are engineers. No engineer is artist.
Conclusions:
- Some managers are engineers.
- No manager is artist.
- Some employees are not artists.
- All artists are employees.