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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 46 · 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: No balls are bags. All bags are bells. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are boxes. No boxes are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are kites. All bags are kites. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are cups. No boxes are books. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are kites. All kites are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are toys. No keys are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some coins are caps. No caps are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are caps. All toys are boxes. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are rings. Some cups are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are boxes. All toys are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are rings. All toys are rings. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are bells. All rings are bells. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are toys. No bags are boxes. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are shoes. No shoes are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bags are pens. All bags are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are bags. Some bags are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are rings. No keys are rings. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are kites. Some kites are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bells are rings. All balls are bells. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are books. No toys are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are rings. All rings are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are bells. Some boxes are bells. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are rings. All kites are rings. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some rings are bags. Some bags are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are bags. All bags are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are toys. Some coins are toys. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are balls. All balls are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are rings. No caps are toys. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No rings are keys. All balls are rings. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are caps. No cups are caps. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are keys. All keys are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are pens. No bags are pens. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are keys. No pens are keys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are toys. Some bags are books. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are boxes. No bags are boxes. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are shoes. All shoes are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are keys. No bags are toys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are shoes. All coins are shoes. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are bells. All caps are balls. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are bags. All bags are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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