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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 85 · 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 bells are toys. Some rings are bells. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No boxes are bags. All rings are bags. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are books. All books are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are boxes. Some kites are bags. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are bags. All balls are toys. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are bags. All bags are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some caps are pens. No keys are pens. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are boxes. All kites are rings. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are pens. No pens are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are kites. Some keys are bags. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are boxes. All boxes are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are rings. Some rings are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are books. All books are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are books. All pens are bells. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are bells. No toys are bells. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are cups. All bags are keys. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are bags. All coins are bells. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are keys. All keys are pens. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are bags. No rings are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are bags. All bags are cups. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are cups. No toys are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are shoes. Some caps are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are kites. Some kites are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are books. All books are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No coins are boxes. No kites are coins. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are boxes. All cups are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No kites are pens. No keys are pens. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are kites. Some bells are kites. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some cups are rings. All pens are rings. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are cups. All rings are cups. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No boxes are cups. Some cups are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are rings. All boxes are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are caps. No caps are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are coins. No keys are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are cups. No boxes are cups. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are books. No shoes are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are boxes. No boxes are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No kites are bags. All keys are kites. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are toys. Some kites are toys. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are balls. No cups are balls. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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