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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 264 · 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 cups are rings. All cups are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are keys. All toys are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are balls. Some cups are balls. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are pens. No rings are pens. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are coins. All pens are bells. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some kites are bags. All bags are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are boxes. All boxes are toys. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are caps. All caps are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are coins. All bells are rings. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are cups. All cups are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are coins. All books are cups. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No cups are books. No rings are books. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are pens. No pens are coins. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are bags. All bags are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are shoes. All shoes are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are bags. All bags are rings. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are boxes. No boxes are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are toys. No rings are toys. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are rings. All rings are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are books. Some toys are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are bags. All caps are books. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are bells. All bells are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are bags. Some balls are bells. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are keys. All keys are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are bags. All bags are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bells are balls. All boxes are balls. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are rings. No boxes are rings. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are kites. Some keys are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are kites. Some balls are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are books. No balls are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some coins are balls. Some coins are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some toys are coins. Some bags are coins. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are pens. No pens are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are shoes. Some coins are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are pens. Some books are bells. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some coins are keys. All kites are coins. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are pens. All keys are boxes. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are boxes. No bells are boxes. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are keys. No keys are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some toys are coins. All coins are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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