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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 215 · 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: Some boxes are toys. No boxes are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are kites. Some kites are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are rings. Some kites are rings. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are caps. All boxes are balls. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some caps are rings. No balls are rings. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are kites. All kites are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are boxes. Some kites are coins. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are caps. All keys are caps. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are rings. All rings are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are cups. All pens are cups. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are rings. No caps are bells. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are bags. Some bags are shoes. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are books. All books are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are rings. All bags are boxes. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are coins. All boxes are toys. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are rings. Some bells are balls. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are balls. All balls are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are kites. No shoes are kites. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are kites. All balls are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are rings. Some books are pens. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are balls. Some books are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are bells. All cups are bells. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are keys. No keys are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are bags. Some bags are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are rings. All bells are boxes. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are keys. All rings are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are balls. Some caps are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are books. All caps are books. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are caps. No caps are cups. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are books. All books are toys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are toys. All books are rings. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No kites are keys. No cups are kites. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are coins. All pens are rings. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are bags. No boxes are bells. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are shoes. All boxes are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are rings. No balls are rings. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are bags. All bags are books. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are boxes. No pens are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are kites. All kites are boxes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are books. All caps are books. Conclusion: Some kites are caps. 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. Yes
  8. Yes
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. No
  18. No
  19. Yes
  20. Yes
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. No
  30. Yes
  31. Yes
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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