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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 91 · 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 shoes are bags. All bells are shoes. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are pens. No kites are pens. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are balls. All boxes are balls. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are bells. No bells are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are kites. All kites are keys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are pens. All books are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are caps. All bells are kites. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are keys. All pens are balls. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are balls. All cups are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are keys. All shoes are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are balls. All cups are coins. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are books. All bags are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are keys. No keys are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are bags. No keys are boxes. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are coins. All keys are coins. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are shoes. All toys are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are pens. All keys are rings. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are caps. Some pens are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are books. All boxes are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are caps. All balls are caps. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are coins. All coins are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are bells. All rings are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are cups. All keys are cups. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are balls. All pens are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are books. Some cups are bags. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are coins. Some kites are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are bells. Some kites are bells. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are kites. All shoes are kites. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are shoes. Some keys are bells. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some caps are boxes. No boxes are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are toys. All toys are shoes. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are boxes. Some kites are boxes. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are kites. Some caps are bags. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are bags. No bags are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are pens. No pens are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No keys are caps. No rings are keys. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some rings are bells. All bells are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are bells. No shoes are bells. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are keys. No keys are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are coins. All bags are coins. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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