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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 173 · 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 coins are rings. All caps are coins. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are keys. No keys are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are boxes. No boxes are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are caps. No caps are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are bells. All cups are balls. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are toys. No bells are toys. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are balls. All balls are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are shoes. All shoes are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are keys. Some boxes are rings. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are keys. Some keys are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are cups. Some boxes are keys. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are toys. No toys are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are keys. All shoes are kites. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are shoes. All balls are shoes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bags are shoes. All bags are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are toys. Some rings are bags. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are boxes. No bags are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are bags. No bags are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are keys. Some coins are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are coins. All keys are coins. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are cups. Some coins are kites. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are balls. All balls are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are caps. No caps are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are keys. No keys are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are books. No cups are boxes. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are boxes. Some bags are caps. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are pens. No pens are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are shoes. All books are bells. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are books. All bells are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are boxes. All balls are caps. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are coins. All keys are books. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are toys. All pens are cups. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are keys. No pens are rings. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are keys. No balls are coins. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are pens. Some books are kites. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are bells. Some rings are toys. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are balls. Some kites are balls. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are shoes. All shoes are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are coins. All coins are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are kites. All rings are cups. Conclusion: No cups are kites. 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. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. Yes
  39. No
  40. No

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