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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 281 · 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: No keys are shoes. All keys are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are toys. No bags are toys. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are bells. All caps are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are balls. Some books are bells. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are toys. No bags are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are bags. No cups are bags. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are boxes. Some balls are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are bells. No toys are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are balls. All balls are coins. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are rings. All books are caps. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are kites. No balls are kites. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are coins. All coins are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are pens. All books are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are toys. No toys are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some coins are keys. All keys are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All books are pens. No shoes are pens. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are bells. No caps are kites. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No balls are bells. Some rings are balls. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are books. All cups are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are keys. Some keys are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some balls are books. No balls are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No kites are shoes. All toys are kites. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are books. Some pens are books. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are keys. No keys are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are keys. No keys are bells. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No keys are bells. Some toys are keys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are bags. Some keys are bags. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are pens. All caps are pens. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are shoes. All boxes are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are boxes. No toys are boxes. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are boxes. No shoes are boxes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are books. All rings are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are books. Some rings are books. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are rings. No rings are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are toys. No caps are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are pens. All pens are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No toys are caps. All bags are caps. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are balls. All boxes are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are pens. All pens are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are toys. All toys are bags. Conclusion: No bags are boxes. 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. Yes
  13. No
  14. No
  15. No
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. Yes
  38. No
  39. No
  40. No

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