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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 122 · 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 bags are bells. All books are bags. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are kites. All rings are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are bags. All kites are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are coins. All coins are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some caps are balls. No balls are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are keys. All balls are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bags are boxes. All bags are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No balls are caps. All balls are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are coins. All coins are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are bells. All toys are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are kites. All kites are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are cups. No cups are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are bells. All bells are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some books are bags. No bags are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are keys. No cups are keys. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are caps. No coins are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No caps are books. All boxes are books. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are pens. Some toys are coins. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are keys. Some cups are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are books. No cups are books. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bags are kites. No rings are kites. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are bells. No bells are books. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No pens are boxes. No balls are boxes. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are cups. No boxes are coins. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No keys are balls. All cups are balls. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are toys. All toys are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are cups. No cups are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are bells. All coins are bells. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are cups. All cups are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are boxes. Some bells are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are toys. All toys are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are kites. All shoes are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are keys. All balls are coins. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are coins. Some kites are bags. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are bags. No bags are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No keys are shoes. Some shoes are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are books. Some boxes are books. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are caps. All toys are kites. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are shoes. No shoes are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are pens. No pens are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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