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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 193 · 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 kites are bags. All bags are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No cups are caps. Some bells are caps. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some rings are bags. No shoes are rings. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bags are cups. No cups are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are keys. No keys are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No kites are rings. Some kites are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are cups. All bags are coins. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are books. All cups are books. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are boxes. All boxes are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are coins. All keys are boxes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are bells. No bells are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are boxes. All balls are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No keys are boxes. All bells are keys. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are balls. No balls are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are shoes. No boxes are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are books. No pens are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are balls. No kites are balls. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are shoes. All pens are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are caps. No caps are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are bells. No cups are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No kites are rings. All kites are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some toys are shoes. No cups are toys. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are rings. No rings are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are bags. All bags are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are cups. No kites are shoes. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are toys. No caps are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are pens. All shoes are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some keys are toys. Some keys are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are keys. No boxes are keys. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are bags. No rings are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are books. No keys are balls. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are balls. Some balls are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are balls. No pens are kites. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are bells. No caps are toys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are rings. All rings are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are books. All caps are bells. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are balls. All pens are balls. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are books. No books are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are bells. Some bags are books. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No toys are caps. All bags are toys. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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