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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 238 · 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 books are bags. All kites are books. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some cups are kites. Some bags are kites. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are shoes. All bags are cups. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are toys. Some toys are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are bags. Some boxes are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are boxes. Some pens are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No cups are caps. No caps are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are books. All books are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are bags. Some cups are pens. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are cups. All pens are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some books are bags. All bags are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some coins are cups. All rings are coins. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are boxes. All rings are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are balls. No balls are pens. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some kites are boxes. All books are kites. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are boxes. Some boxes are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are bags. Some toys are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are boxes. Some rings are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are boxes. No bags are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some coins are rings. No coins are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All balls are bags. All books are bags. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are shoes. Some rings are toys. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No caps are balls. All balls are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are pens. Some cups are toys. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are rings. No keys are rings. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are shoes. No shoes are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are kites. All boxes are toys. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No keys are boxes. All keys are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are toys. All toys are caps. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are toys. All bells are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are keys. All shoes are toys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are bells. No balls are shoes. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are keys. All bells are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are rings. No rings are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are coins. No bags are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are caps. All caps are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are bags. No bags are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are toys. All balls are bells. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are bags. No rings are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No keys are books. Some books are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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