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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 169 · 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 shoes. Some keys are toys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are kites. Some shoes are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No balls are pens. Some pens are caps. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are rings. All cups are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are toys. No toys are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No caps are books. No books are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are books. All books are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are books. No bags are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are rings. Some balls are rings. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are boxes. No balls are boxes. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are cups. No bags are cups. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are keys. Some cups are keys. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are books. All balls are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are toys. All cups are balls. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are pens. All balls are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are balls. All bags are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are keys. No keys are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are bags. All boxes are keys. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are pens. All boxes are pens. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are keys. No bells are keys. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No caps are boxes. Some boxes are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are balls. All coins are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are keys. All rings are shoes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are shoes. All toys are shoes. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are rings. Some cups are rings. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No boxes are caps. Some boxes are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are keys. All coins are keys. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are pens. All bags are shoes. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are books. All bags are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bells are bags. All boxes are bells. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are books. Some kites are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are caps. All bags are bells. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are toys. All rings are toys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are boxes. No books are boxes. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are coins. All pens are toys. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are keys. Some rings are coins. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some cups are boxes. No bags are boxes. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are keys. No bags are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are balls. Some shoes are balls. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No coins are caps. No caps are shoes. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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