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Syllogism Worksheet

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

Answer key

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

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