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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 133 · 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 boxes are cups. No boxes are pens. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are shoes. No bags are shoes. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are bags. Some cups are caps. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are cups. All coins are books. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are bells. No keys are bells. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are toys. All toys are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are pens. All shoes are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No shoes are boxes. All rings are shoes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are keys. All keys are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are caps. All rings are caps. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No cups are shoes. Some rings are cups. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are coins. All boxes are toys. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are boxes. No books are kites. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some caps are bells. All bells are toys. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are keys. All cups are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are coins. All shoes are keys. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are bags. All keys are caps. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are rings. All boxes are rings. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are keys. No keys are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are coins. No toys are bells. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are shoes. No cups are boxes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are toys. No kites are toys. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are coins. Some pens are coins. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are keys. All keys are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are balls. No shoes are balls. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are shoes. All boxes are shoes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are balls. All balls are boxes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are cups. Some bells are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are shoes. Some pens are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are caps. All toys are books. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are shoes. All pens are shoes. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are bags. All cups are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No kites are balls. All toys are kites. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are bags. All coins are balls. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are kites. Some kites are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are balls. All bags are balls. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are boxes. No books are caps. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are caps. All caps are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are bags. No bags are toys. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are bells. All rings are bells. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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