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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 80 · 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 toys are bags. No boxes are bags. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are bags. All bags are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are kites. No balls are kites. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are bells. All balls are caps. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are balls. Some bells are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are keys. All keys are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are caps. Some balls are caps. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are kites. No bags are keys. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are bells. No rings are keys. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are kites. All kites are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are kites. Some kites are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No caps are toys. All cups are caps. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All cups are bags. No bags are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are rings. No books are rings. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are bells. All pens are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are bells. All bells are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are boxes. All rings are kites. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are coins. Some pens are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are bags. All bags are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are bags. Some shoes are books. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are pens. All bells are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are keys. Some boxes are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are caps. All pens are caps. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are balls. All coins are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are coins. All rings are bags. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are rings. No kites are keys. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are books. No rings are books. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some balls are toys. All balls are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are pens. All kites are pens. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are bags. All shoes are bags. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are toys. No keys are toys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are rings. All boxes are cups. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are books. No bells are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are rings. All rings are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are caps. No shoes are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are kites. All kites are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are kites. No bags are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are keys. Some shoes are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are kites. Some bags are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are kites. Some balls are rings. Conclusion: Some rings are kites. 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. No
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. Yes

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