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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 365 · 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 keys are pens. No boxes are keys. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are boxes. No coins are books. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are cups. All cups are boxes. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are balls. Some pens are balls. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are balls. Some shoes are balls. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No cups are bells. No balls are cups. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are bags. All books are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are boxes. No boxes are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are balls. Some caps are coins. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are toys. All keys are balls. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some caps are cups. No cups are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are rings. Some pens are boxes. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are books. Some cups are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are bags. No pens are balls. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are caps. All caps are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No toys are books. All pens are books. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are bells. All bells are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are balls. All coins are pens. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are boxes. All toys are kites. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are bells. All kites are balls. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are boxes. Some bells are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are books. Some rings are books. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are boxes. All cups are keys. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are caps. Some toys are cups. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are pens. No kites are pens. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are rings. No rings are keys. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are caps. All caps are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are shoes. No caps are bags. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are toys. All toys are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are cups. No cups are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are bells. All shoes are balls. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are balls. Some balls are coins. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are books. No shoes are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are rings. Some rings are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are keys. All toys are shoes. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are coins. All boxes are pens. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bells are kites. Some bells are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are cups. All shoes are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some pens are caps. All pens are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are cups. No keys are coins. Conclusion: No keys are cups. 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. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. No
  38. Yes
  39. Yes
  40. No

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