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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 335 · 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 coins are rings. No rings are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are shoes. No balls are kites. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are toys. All rings are toys. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are pens. All boxes are toys. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are coins. No coins are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are boxes. No bells are shoes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are keys. No keys are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are rings. All pens are bags. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are coins. All rings are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are boxes. No boxes are keys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are kites. All kites are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are kites. All rings are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are pens. Some pens are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some balls are boxes. All books are boxes. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are coins. Some bags are pens. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are keys. No bells are balls. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are toys. Some rings are balls. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are bells. No rings are bells. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are coins. Some books are boxes. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are rings. All keys are rings. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are boxes. All bells are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are cups. No kites are cups. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are bells. All bells are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are cups. All cups are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are bells. No kites are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are boxes. No boxes are pens. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are rings. All caps are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are rings. All rings are keys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are kites. All pens are boxes. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No coins are balls. All boxes are balls. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No pens are shoes. No coins are pens. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are boxes. No boxes are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are books. All bags are books. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are toys. Some bells are caps. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are toys. No toys are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are boxes. Some pens are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are caps. No caps are bags. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are pens. Some pens are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are balls. All rings are bells. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are books. No books are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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