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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 42 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: All books are coins. No coins are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are boxes. Some boxes are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are shoes. No boxes are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some cups are balls. All cups are caps. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are rings. No bags are caps. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are rings. All rings are shoes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are bags. All cups are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are bags. All cups are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are pens. No bags are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are shoes. No toys are shoes. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are caps. Some pens are caps. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some rings are toys. Some rings are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are toys. No bells are toys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are toys. Some pens are toys. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are kites. Some kites are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are shoes. Some cups are shoes. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are cups. All cups are rings. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are books. All caps are pens. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are toys. All kites are toys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are boxes. No cups are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are bells. All bags are books. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are toys. No shoes are toys. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bells are balls. No balls are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are coins. No coins are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are caps. All boxes are caps. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are bells. All bells are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are books. Some cups are books. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are toys. All shoes are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are rings. No kites are coins. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bags are rings. Some boxes are bags. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are pens. Some pens are shoes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are rings. All rings are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are coins. All coins are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are balls. All balls are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are keys. All toys are keys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No cups are pens. All balls are cups. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are balls. All toys are shoes. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are shoes. Some boxes are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are bells. Some bells are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are shoes. Some shoes are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. No
  6. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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