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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 267 · 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 bags are pens. All keys are pens. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are keys. All pens are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are coins. No coins are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some shoes are pens. No shoes are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are pens. All rings are cups. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are balls. All cups are balls. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are bags. All bells are shoes. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are boxes. Some rings are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are coins. All bags are rings. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are boxes. No bells are boxes. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are cups. No kites are rings. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are bags. No boxes are rings. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are shoes. No shoes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are kites. No boxes are books. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No toys are bells. Some bells are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some balls are shoes. No pens are shoes. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are keys. No kites are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are books. All cups are books. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are books. All pens are books. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are shoes. No toys are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All shoes are balls. No cups are balls. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are books. No keys are books. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are bags. Some shoes are toys. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are books. All books are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are bags. All bags are shoes. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bells are caps. All kites are caps. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are bags. No bags are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are coins. All coins are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are toys. No coins are toys. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are balls. All balls are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are toys. All toys are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are keys. Some cups are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are kites. All kites are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are keys. All keys are cups. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are shoes. All shoes are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are cups. No cups are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are shoes. All bells are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are shoes. Some caps are bells. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are caps. No rings are cups. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some rings are caps. No coins are rings. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. Yes
  3. Yes
  4. No
  5. No
  6. No
  7. Yes
  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. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. Yes
  39. No
  40. No

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