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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 249 · 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 coins. All toys are books. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are caps. No coins are caps. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are bells. All bags are toys. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some kites are toys. All cups are kites. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are boxes. All bags are cups. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are rings. All boxes are cups. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are shoes. All bags are shoes. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are shoes. All books are shoes. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are keys. All keys are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are cups. No keys are boxes. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are balls. All boxes are balls. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are boxes. No boxes are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are rings. No pens are rings. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are rings. Some cups are rings. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are books. No caps are cups. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are shoes. All rings are pens. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are coins. Some toys are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are kites. All balls are kites. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are coins. All coins are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are keys. All keys are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are kites. All kites are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are bells. All bells are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are boxes. Some boxes are shoes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are boxes. All boxes are caps. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are shoes. No coins are shoes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are pens. All caps are pens. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are pens. All kites are toys. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are balls. All rings are cups. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No toys are boxes. No boxes are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are cups. All balls are bells. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are balls. All balls are shoes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are shoes. No bells are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are boxes. All kites are boxes. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No pens are bells. All shoes are pens. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are bags. No bells are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are rings. All books are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are keys. All keys are cups. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are caps. All pens are kites. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are bells. No keys are bells. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are boxes. All bags are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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