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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 161 · 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 bells. All balls are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are boxes. Some boxes are bags. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are bells. All bells are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are bags. All bags are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are bells. No bells are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are toys. All pens are balls. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are books. No pens are books. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are rings. All toys are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are keys. No keys are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are keys. All pens are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are boxes. No boxes are toys. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some cups are books. All books are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are cups. No kites are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are keys. Some bags are caps. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some coins are books. All rings are books. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are books. No rings are books. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No keys are caps. Some caps are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are books. Some bells are books. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No kites are coins. All coins are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are toys. No balls are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are rings. Some bags are caps. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are balls. All cups are shoes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are boxes. All keys are boxes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are keys. All boxes are balls. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are bells. No balls are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are kites. All caps are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are kites. No kites are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some kites are rings. All kites are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No keys are cups. Some bags are cups. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are caps. Some kites are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are coins. All caps are toys. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are bags. Some bags are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bags are caps. All bags are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are books. All books are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are caps. All keys are caps. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are rings. All rings are boxes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some balls are cups. All cups are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are shoes. All books are pens. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are keys. Some bags are keys. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No keys are kites. No bells are keys. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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