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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 275 · 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: No kites are cups. No boxes are kites. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are pens. No bells are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are books. All toys are caps. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are pens. Some pens are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No toys are kites. No shoes are kites. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are toys. All boxes are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are balls. All rings are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are bags. All kites are boxes. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are coins. All toys are coins. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are keys. All toys are caps. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are caps. No caps are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No cups are pens. All coins are cups. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are pens. All pens are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are cups. All keys are books. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are boxes. Some caps are keys. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are pens. No keys are pens. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are boxes. Some bells are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are caps. No caps are keys. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bells are keys. All keys are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some boxes are rings. No rings are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are boxes. All bags are books. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No rings are kites. All caps are kites. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are bells. All boxes are bells. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are toys. All toys are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are keys. No rings are kites. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are rings. No rings are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are bags. All bags are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are cups. Some toys are cups. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are balls. All caps are keys. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are bells. No cups are kites. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are books. No cups are books. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are coins. All keys are bells. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are coins. All coins are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are bells. No rings are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are bags. Some pens are bags. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are shoes. Some toys are bells. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are toys. All bells are toys. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are bags. No bags are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are rings. Some rings are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some cups are bags. All keys are bags. Conclusion: All cups are keys. 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. No
  8. No
  9. No
  10. Yes
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. Yes
  28. No
  29. Yes
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. No

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