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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 227 · 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 balls are bells. Some books are bells. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are pens. Some books are pens. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are keys. No keys are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are boxes. All bells are boxes. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No kites are cups. Some toys are kites. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are bags. All bags are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are kites. Some keys are bags. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No shoes are boxes. All kites are shoes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are shoes. All keys are rings. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are caps. No caps are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are toys. No rings are bells. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are pens. All bags are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are caps. No caps are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are caps. All cups are caps. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are rings. Some bells are boxes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are pens. Some cups are pens. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are bells. No bells are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some toys are boxes. All toys are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are balls. All balls are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are bells. No keys are bells. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are balls. All keys are coins. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are toys. Some toys are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are cups. All keys are bells. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bells are cups. All cups are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are rings. All bags are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are shoes. All shoes are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are caps. No boxes are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are caps. No cups are caps. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are kites. Some pens are bells. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are pens. Some rings are caps. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are keys. All bells are keys. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are books. No coins are rings. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No shoes are bags. All caps are shoes. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are boxes. No bags are boxes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are shoes. All rings are keys. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are books. All books are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No shoes are coins. No coins are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No kites are pens. No boxes are pens. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some balls are kites. Some kites are cups. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are kites. All kites are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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