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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 120 · 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 bells are books. All books are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are keys. No keys are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are keys. Some boxes are caps. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are pens. Some kites are keys. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are boxes. All bells are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are kites. Some kites are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are rings. All rings are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are balls. All balls are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are rings. All boxes are rings. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are books. No books are shoes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are keys. No keys are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are kites. All bells are kites. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are books. All books are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are balls. All toys are balls. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are pens. Some books are pens. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are boxes. No boxes are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are kites. No kites are coins. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are pens. All keys are pens. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are shoes. No shoes are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are kites. All rings are boxes. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No toys are keys. No toys are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are bells. All bells are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are balls. All boxes are balls. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are shoes. All bags are rings. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are caps. Some rings are balls. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are bells. No toys are pens. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are rings. All coins are balls. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are pens. All pens are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No cups are caps. All coins are caps. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are bags. No boxes are bags. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are balls. Some pens are balls. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are balls. No bags are balls. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are cups. No books are caps. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are caps. No coins are caps. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are books. Some coins are bells. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some coins are toys. All kites are toys. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are pens. Some rings are bags. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are shoes. Some coins are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are cups. No cups are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some caps are cups. All caps are bags. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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