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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 362 · 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 rings are bags. All bags are kites. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some caps are bags. All bags are bells. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are kites. Some kites are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are books. Some toys are books. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are pens. All toys are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are cups. No cups are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are books. No caps are books. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are toys. Some toys are bags. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No keys are rings. All toys are rings. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are books. No kites are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are cups. All coins are cups. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are pens. No bells are pens. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are boxes. All boxes are cups. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are shoes. No balls are rings. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are cups. Some balls are books. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are pens. No bags are pens. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are caps. No caps are bells. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are cups. All keys are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are coins. All cups are coins. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are bags. All keys are pens. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No caps are coins. All coins are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No coins are boxes. Some bags are boxes. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are caps. All bells are caps. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are toys. Some bells are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are cups. No pens are cups. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are books. Some pens are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are keys. Some keys are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are balls. No keys are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are bells. All keys are books. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are boxes. No coins are caps. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are bags. All pens are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are bells. No bells are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No kites are caps. All shoes are kites. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are caps. No boxes are caps. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are books. All cups are rings. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some rings are caps. Some rings are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are coins. No coins are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some caps are rings. All pens are caps. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are keys. No keys are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are bags. All coins are keys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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