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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 357 · 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 toys are coins. All keys are coins. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are kites. All kites are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are toys. All pens are toys. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No kites are keys. All balls are kites. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are shoes. Some pens are shoes. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are pens. Some bags are pens. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are keys. All bags are keys. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are caps. Some kites are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No kites are cups. All keys are cups. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are shoes. All coins are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are balls. Some keys are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some shoes are cups. All bags are shoes. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No balls are bells. All cups are bells. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are caps. No books are caps. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are balls. All balls are shoes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some balls are bags. No bags are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No cups are bags. All bags are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are rings. No toys are bells. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are kites. All kites are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are caps. Some coins are pens. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are books. All pens are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are keys. All bags are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are bells. No pens are bells. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are balls. Some balls are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some balls are toys. All rings are balls. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No coins are books. All balls are coins. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are books. Some bells are boxes. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No rings are pens. Some pens are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are toys. All keys are coins. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are coins. All coins are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some cups are balls. Some kites are cups. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are bags. Some bags are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are pens. Some pens are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bags are bells. All cups are bells. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are bags. No keys are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are bells. All bags are bells. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are bags. Some balls are rings. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are toys. Some kites are caps. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are cups. Some pens are cups. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are bells. No bells are coins. Conclusion: Some boxes are coins. 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. No
  7. No
  8. No
  9. Yes
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. Yes
  20. Yes
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. No

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