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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 189 · 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 keys are books. All cups are books. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are shoes. All shoes are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No toys are cups. All kites are toys. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are kites. Some kites are bags. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are toys. No rings are toys. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are boxes. All bells are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are coins. All coins are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are boxes. No boxes are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are boxes. No bags are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are balls. No balls are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are bells. All boxes are toys. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are rings. All rings are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are books. Some books are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are cups. All cups are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are toys. Some coins are keys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are boxes. Some rings are cups. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are caps. No toys are caps. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are toys. Some cups are pens. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are shoes. All kites are boxes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are books. No pens are books. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are keys. No balls are shoes. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are shoes. No keys are shoes. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are rings. No rings are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are bells. All shoes are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are books. No caps are books. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No coins are kites. No kites are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are pens. Some caps are books. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are balls. No balls are shoes. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some keys are bags. Some keys are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All books are balls. No balls are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are shoes. All balls are shoes. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are balls. Some keys are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are boxes. No toys are bags. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are caps. Some books are caps. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are shoes. Some shoes are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some kites are shoes. All shoes are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are kites. All kites are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No kites are bags. All balls are kites. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some keys are pens. Some keys are caps. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are kites. Some kites are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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