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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 54 · 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 caps are pens. No kites are caps. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No boxes are pens. Some pens are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are cups. No shoes are books. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are bells. All bells are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are kites. All kites are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are shoes. All pens are shoes. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are cups. All cups are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are pens. All caps are pens. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are kites. All boxes are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are kites. All rings are kites. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are bells. No bells are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are kites. All pens are kites. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are pens. Some bags are rings. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are shoes. All shoes are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are shoes. All toys are shoes. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are kites. All bags are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are coins. All coins are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are bells. Some toys are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are toys. All toys are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are bells. All books are shoes. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are toys. Some bags are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are cups. Some cups are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are kites. All kites are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are shoes. All cups are pens. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are bags. No bags are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are caps. All toys are boxes. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are caps. All rings are caps. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are rings. All kites are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are shoes. All shoes are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are toys. Some coins are bells. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are bells. All pens are bells. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are toys. No pens are kites. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are keys. No pens are keys. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are bells. Some bells are coins. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are shoes. All coins are bells. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are books. Some books are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are kites. Some balls are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are caps. All caps are bells. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are balls. No balls are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are cups. No cups are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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