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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 123 · 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: Some bells are cups. All cups are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are keys. All cups are bells. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are rings. All pens are cups. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some keys are kites. No kites are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are kites. Some bells are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are boxes. All cups are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are toys. No toys are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are pens. All pens are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are shoes. All boxes are kites. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some caps are balls. Some caps are toys. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are books. All balls are keys. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are books. All caps are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are boxes. All rings are caps. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are shoes. All books are bags. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are toys. All toys are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are keys. All keys are caps. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are books. All books are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some rings are bags. All bags are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are caps. No bells are cups. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are balls. Some balls are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are bells. All shoes are books. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are kites. No kites are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are coins. All coins are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are cups. No bags are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are balls. Some boxes are pens. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are keys. No keys are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are kites. All bags are kites. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are cups. All rings are cups. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are balls. All boxes are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some kites are balls. All kites are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are cups. No cups are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are kites. No keys are balls. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are balls. All balls are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are balls. All keys are books. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are boxes. Some boxes are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are balls. No bells are balls. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are shoes. Some books are bags. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are coins. All coins are books. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are boxes. All rings are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No keys are boxes. All boxes are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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