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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 190 · 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: All keys are boxes. No shoes are keys. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are toys. All toys are books. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bells are kites. All bells are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are bags. All kites are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are pens. No coins are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are coins. No bags are books. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are bells. All cups are boxes. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are caps. Some caps are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are caps. No keys are caps. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are books. All bells are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are cups. Some cups are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are bells. Some toys are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are balls. All books are balls. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are bells. No bags are bells. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are coins. All boxes are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are bags. All boxes are bells. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are coins. No boxes are balls. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are kites. All kites are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are kites. No caps are kites. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No shoes are rings. All boxes are shoes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are kites. No cups are kites. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are bags. All bags are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No coins are boxes. No coins are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are cups. No coins are bags. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are keys. Some toys are bells. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are caps. All keys are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are cups. Some keys are boxes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some keys are balls. All balls are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are bags. All coins are caps. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are cups. All shoes are toys. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are coins. All kites are bags. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bells are coins. All coins are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are keys. No pens are keys. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are books. All coins are rings. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are shoes. All shoes are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are keys. All bags are keys. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are bells. All coins are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are rings. No rings are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are pens. All bags are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are cups. No boxes are rings. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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