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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 294 · 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 bells. All books are coins. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are shoes. No shoes are bags. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bells are bags. Some coins are bags. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are bags. All bags are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are cups. All cups are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are boxes. No toys are keys. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No toys are keys. No balls are keys. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are bags. All coins are cups. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are caps. No balls are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are caps. Some coins are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are coins. All coins are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bells are toys. No balls are toys. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are caps. Some rings are caps. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some books are keys. No shoes are keys. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No kites are caps. All kites are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are bags. Some shoes are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are keys. No keys are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are keys. All keys are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are kites. All pens are cups. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are kites. All kites are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are boxes. All coins are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are boxes. No keys are coins. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are books. Some books are coins. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are bags. All bags are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All cups are books. No bags are books. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are keys. All rings are pens. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are rings. All books are balls. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some coins are shoes. No books are coins. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are shoes. No kites are shoes. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are coins. All balls are coins. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some coins are cups. All coins are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are bags. No bags are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some balls are cups. No balls are coins. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are books. All books are boxes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are books. All books are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are balls. All coins are balls. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are keys. All kites are balls. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are coins. No coins are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are bags. Some rings are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are balls. No toys are keys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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