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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 261 · 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 boxes are bags. Some books are bags. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are boxes. Some books are pens. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are bags. Some keys are bags. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are caps. All caps are toys. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are toys. Some toys are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are boxes. All rings are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are shoes. All shoes are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are balls. All balls are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are kites. Some keys are kites. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No pens are balls. No pens are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bells are cups. All balls are bells. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are shoes. No keys are shoes. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No balls are boxes. All toys are balls. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are shoes. Some pens are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are boxes. No books are boxes. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are bags. All bags are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are toys. No bags are boxes. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are coins. All kites are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are kites. All boxes are kites. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are bags. No bags are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are shoes. All books are cups. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are caps. All balls are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are pens. All cups are pens. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No keys are boxes. All boxes are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bells. No cups are bells. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are books. No pens are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are cups. All cups are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are caps. Some bags are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bags are rings. No bags are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are coins. Some pens are coins. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are bells. All balls are books. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are bags. No books are rings. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are cups. All bags are keys. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are bags. No toys are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are bells. All rings are bells. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are toys. All pens are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are pens. Some keys are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are pens. All pens are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are bells. All rings are bells. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are cups. All cups are coins. Conclusion: Some coins are books. 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. Yes
  7. Yes
  8. Yes
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. Yes
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. Yes
  36. Yes
  37. Yes
  38. Yes
  39. No
  40. Yes

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