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Syllogism Worksheet

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

Answer key

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

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