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Syllogism Worksheet

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

Answer key

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

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