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Syllogism Worksheet

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

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