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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 63 · 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 shoes are boxes. Some shoes are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some caps are pens. No keys are caps. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are shoes. All bags are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are toys. No balls are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are cups. All coins are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are bells. All cups are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are rings. Some cups are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are boxes. No caps are cups. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are rings. Some bags are kites. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are cups. Some books are cups. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are cups. No cups are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are kites. All kites are boxes. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are boxes. No boxes are cups. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are books. Some books are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some keys are bags. No toys are bags. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are keys. Some coins are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bells are boxes. All cups are bells. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bells are caps. All caps are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are rings. Some books are rings. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are books. No pens are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are coins. All coins are bags. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are books. Some keys are bags. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are boxes. Some bells are balls. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are shoes. All boxes are toys. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are books. All toys are pens. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are shoes. All books are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are toys. All balls are books. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are boxes. No keys are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are kites. No kites are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are bells. Some shoes are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are bags. All bags are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are bags. No pens are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some books are pens. No pens are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some caps are keys. Some caps are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No keys are toys. All pens are toys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are caps. Some boxes are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are caps. Some keys are caps. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some rings are cups. All cups are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are rings. No rings are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are caps. Some pens are caps. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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