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Syllogism Worksheet

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

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