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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 220 · 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 bags. All kites are bells. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are caps. All caps are rings. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are pens. All keys are pens. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are keys. All bells are toys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are bells. All bells are shoes. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are boxes. Some bags are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are pens. No cups are pens. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are toys. Some books are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are rings. No rings are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are caps. Some coins are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are bags. All bags are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are books. All books are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are books. All bells are balls. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No caps are shoes. All boxes are caps. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are bags. Some coins are balls. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some balls are caps. No caps are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are boxes. All caps are boxes. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are kites. Some shoes are rings. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bags. All shoes are toys. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are pens. Some balls are pens. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are shoes. All books are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are cups. All bags are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some kites are coins. Some coins are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are coins. No coins are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No toys are caps. Some toys are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are keys. All keys are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are books. All rings are shoes. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are bags. All balls are keys. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are bells. All bags are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some kites are pens. Some pens are books. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are toys. All toys are pens. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bells are cups. No coins are bells. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some coins are cups. All cups are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are boxes. All shoes are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are shoes. No kites are shoes. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are kites. All kites are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No boxes are cups. All boxes are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No pens are toys. All pens are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are pens. All rings are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are shoes. No coins are shoes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. No
  4. Yes
  5. No
  6. No
  7. No
  8. No
  9. Yes
  10. No
  11. Yes
  12. No
  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. No
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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