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Syllogism Worksheet

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

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