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Syllogism Worksheet

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

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