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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 401 · 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 pens are boxes. All kites are boxes. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are toys. All pens are boxes. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are boxes. Some shoes are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are caps. No rings are caps. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are bells. Some kites are keys. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are boxes. All bags are boxes. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bags are pens. Some bags are caps. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some shoes are keys. Some toys are shoes. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No boxes are coins. All keys are boxes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are balls. All balls are kites. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No balls are coins. All coins are shoes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are coins. All toys are pens. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are books. All shoes are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are coins. No keys are coins. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are bags. Some rings are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are rings. All bags are rings. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are cups. No boxes are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are boxes. All keys are coins. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are bags. No kites are bags. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are pens. Some balls are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are boxes. Some coins are balls. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are balls. All balls are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are caps. Some cups are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are shoes. All books are shoes. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are pens. Some coins are caps. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are cups. Some cups are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are caps. No boxes are caps. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some coins are cups. All cups are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are pens. All bells are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are cups. All pens are keys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are boxes. No rings are boxes. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are rings. All rings are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are cups. All bells are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are boxes. No coins are books. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are rings. Some books are keys. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are cups. No cups are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No caps are keys. All shoes are caps. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are keys. No keys are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are toys. No toys are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are rings. No rings are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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