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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 166 · 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 cups are boxes. All pens are cups. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are bags. All pens are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are pens. Some pens are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are keys. Some toys are keys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are bags. All pens are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are coins. Some books are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are balls. Some cups are pens. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are keys. All kites are pens. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are bags. No bags are rings. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are pens. Some pens are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are bags. All bags are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are caps. No boxes are caps. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are books. No coins are caps. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are cups. All bags are boxes. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are cups. All cups are toys. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are toys. No coins are toys. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are shoes. All cups are toys. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are cups. All coins are boxes. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are caps. Some pens are balls. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are bells. Some bells are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are caps. No caps are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are bags. No bags are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are cups. No cups are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No kites are caps. No kites are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are rings. No caps are rings. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are balls. Some cups are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are pens. All pens are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are rings. Some rings are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are balls. Some caps are cups. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are keys. Some books are balls. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are boxes. All rings are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are kites. Some keys are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are bags. All bags are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are bells. No balls are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are boxes. All boxes are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are shoes. No shoes are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are keys. All bags are pens. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No keys are pens. All bells are pens. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No toys are coins. All bags are toys. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are pens. Some coins are pens. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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