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Syllogism Worksheet

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

Answer key

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

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