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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 305 · 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 rings are keys. No keys are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No keys are pens. All boxes are pens. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are boxes. All cups are boxes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are bags. All bags are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are toys. No toys are keys. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are rings. All boxes are rings. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are kites. No shoes are toys. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are caps. Some cups are caps. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are bags. All cups are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are shoes. All caps are shoes. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No boxes are coins. All toys are coins. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are books. All kites are shoes. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No caps are keys. All caps are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are shoes. All shoes are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are bags. Some toys are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some kites are bells. All bells are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are pens. Some pens are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are pens. No pens are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are rings. Some toys are shoes. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are keys. No cups are keys. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are keys. No books are boxes. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are cups. Some books are cups. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are shoes. All balls are kites. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are cups. Some caps are boxes. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are caps. No caps are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are caps. No kites are cups. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are kites. No cups are kites. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are shoes. All boxes are books. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No rings are pens. No pens are shoes. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are keys. Some keys are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are boxes. No toys are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are books. No toys are books. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some rings are kites. All kites are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No keys are cups. All bells are keys. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are boxes. All rings are boxes. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are toys. All toys are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are kites. Some pens are caps. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are bells. No bells are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are coins. No coins are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are cups. Some cups are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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