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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 101 · 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 coins are balls. All rings are coins. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are caps. Some cups are caps. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bells are keys. All caps are keys. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are bags. All bags are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are bells. Some boxes are balls. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are bells. No boxes are bells. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are rings. No balls are caps. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are boxes. Some boxes are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are books. No keys are pens. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are cups. Some bells are keys. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are keys. Some bags are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are books. All books are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are cups. Some rings are cups. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are bells. All keys are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are cups. All cups are shoes. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are bells. All bells are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are boxes. All keys are caps. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are bags. All toys are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are shoes. All books are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some keys are pens. All keys are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are caps. Some bells are kites. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are balls. All coins are balls. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are boxes. All cups are pens. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are bags. No caps are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are caps. All caps are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are boxes. All shoes are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are cups. Some cups are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are toys. No bags are toys. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some caps are cups. No cups are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are books. All books are toys. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are bells. All keys are bells. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are toys. All shoes are bags. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are balls. All toys are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are shoes. No balls are shoes. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are bags. Some kites are bells. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are boxes. Some cups are coins. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are bags. All caps are shoes. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are pens. All balls are books. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are toys. Some books are caps. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are shoes. All bells are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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