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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 204 · 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 balls are books. All balls are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are pens. All toys are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are toys. All coins are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are kites. All cups are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are toys. No cups are balls. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are caps. All caps are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are cups. All rings are cups. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are books. No balls are bags. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are caps. All pens are books. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All boxes are bags. No boxes are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are rings. No boxes are rings. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No shoes are boxes. Some keys are boxes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All cups are rings. All rings are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are bells. Some rings are keys. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are books. All toys are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are coins. All rings are keys. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are books. No cups are coins. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No rings are pens. All rings are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are shoes. All coins are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are coins. No coins are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are boxes. Some boxes are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are cups. All bags are balls. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are caps. Some pens are caps. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are rings. Some kites are boxes. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are boxes. All bells are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bells are bags. Some cups are bells. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are toys. All toys are balls. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are keys. No pens are boxes. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are boxes. Some balls are cups. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are coins. All coins are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No shoes are kites. All bells are kites. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are balls. All kites are balls. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are cups. No toys are cups. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some books are balls. Some balls are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are cups. Some rings are coins. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are books. Some cups are caps. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are keys. No keys are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are books. All boxes are books. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are bags. Some boxes are bags. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are books. No books are pens. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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