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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 408 · 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: Some toys are cups. No rings are cups. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bells are kites. No shoes are bells. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are balls. Some rings are keys. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are caps. No caps are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No pens are rings. All cups are pens. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are shoes. Some toys are balls. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No toys are boxes. All cups are boxes. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some pens are balls. All pens are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are cups. All cups are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are books. Some books are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are cups. Some cups are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bells are balls. No bells are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are coins. All caps are coins. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All kites are cups. No cups are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are bells. All bells are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some caps are shoes. Some toys are shoes. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are shoes. Some caps are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No balls are shoes. Some cups are shoes. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are pens. All balls are cups. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are boxes. No boxes are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are cups. All books are cups. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are bells. No balls are bells. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are rings. No rings are pens. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are caps. All keys are rings. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are toys. Some books are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are kites. All kites are coins. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are toys. No rings are cups. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are rings. All cups are rings. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are keys. No keys are coins. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are bells. Some keys are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are pens. Some books are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are caps. No rings are kites. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are keys. All keys are caps. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are balls. No rings are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bells are kites. All rings are kites. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some coins are shoes. No shoes are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are coins. No coins are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are kites. All kites are balls. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are bags. Some books are bags. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are toys. All caps are bells. Conclusion: All toys are caps. 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. Yes
  7. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. Yes
  24. Yes
  25. Yes
  26. Yes
  27. No
  28. No
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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