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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 60 · 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 pens are bags. All bags are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are toys. No boxes are rings. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some toys are balls. No toys are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are keys. All rings are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are toys. Some pens are boxes. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are caps. All keys are caps. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are shoes. All books are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are bags. No pens are bags. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are shoes. No pens are kites. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are balls. All kites are bells. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are bags. No pens are bags. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are pens. All boxes are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are bells. No books are bells. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are cups. All rings are boxes. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are bells. Some bells are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are pens. No keys are rings. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are pens. Some boxes are toys. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are coins. All coins are bells. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All rings are caps. No kites are caps. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are rings. All rings are keys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are kites. Some toys are kites. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are coins. No bells are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are coins. All kites are coins. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are shoes. All kites are shoes. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are kites. Some cups are kites. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are bells. All bells are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bags are cups. All cups are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are bags. All cups are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are caps. All bells are balls. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are toys. All cups are toys. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are balls. No shoes are balls. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are kites. Some kites are keys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are rings. Some rings are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are toys. Some toys are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are rings. All books are toys. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are rings. Some boxes are caps. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are balls. Some bells are balls. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All cups are bells. Some boxes are bells. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are keys. All keys are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are shoes. No shoes are rings. Conclusion: No toys are rings. 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. Yes
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. Yes
  40. Yes

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