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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 400 · 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: No books are pens. Some kites are pens. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are rings. All keys are coins. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No kites are coins. No coins are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are cups. Some cups are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are boxes. All boxes are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some kites are pens. No bags are pens. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some coins are balls. No balls are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are caps. No caps are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are keys. Some caps are shoes. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are books. All boxes are bags. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bells are books. All keys are bells. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are books. All books are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are rings. All rings are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are coins. Some rings are kites. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are bells. Some coins are bags. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some kites are bells. All kites are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are caps. All caps are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are coins. All coins are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are shoes. All kites are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are keys. All books are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No balls are caps. No balls are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are bags. All boxes are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No keys are bags. No bags are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are keys. All keys are bells. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are cups. All cups are toys. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are shoes. All shoes are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are keys. All kites are rings. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are bags. All balls are books. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are shoes. All books are shoes. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are bells. No keys are bells. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are rings. All rings are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No kites are boxes. No caps are boxes. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are toys. All toys are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are balls. No caps are balls. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All coins are keys. No keys are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are coins. No balls are pens. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are books. All books are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No toys are rings. All rings are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are bells. All bags are bells. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are books. Some toys are balls. Conclusion: All toys are books. 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. No
  7. No
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. No
  15. No
  16. Yes
  17. Yes
  18. Yes
  19. Yes
  20. Yes
  21. No
  22. Yes
  23. No
  24. No
  25. Yes
  26. Yes
  27. Yes
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. Yes
  36. No
  37. Yes
  38. No
  39. No
  40. No

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