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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 369 · 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 balls are coins. Some boxes are balls. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are books. No books are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No coins are bags. No rings are bags. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some keys are pens. All keys are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are bells. All books are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are boxes. All caps are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are coins. All cups are kites. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are bags. All bags are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are books. All books are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are shoes. All balls are toys. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No rings are caps. Some cups are caps. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No caps are bells. Some bags are caps. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are bells. No coins are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some books are cups. All balls are cups. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are kites. All kites are balls. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are rings. Some rings are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are keys. No keys are toys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are bells. Some shoes are bells. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are cups. No caps are cups. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some kites are books. All kites are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are pens. All coins are keys. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are coins. All coins are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bells are coins. All bells are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are pens. All pens are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are rings. All rings are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are keys. All caps are keys. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are shoes. Some books are bags. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are kites. All caps are coins. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are toys. Some toys are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are bags. No books are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are balls. No coins are cups. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are coins. No balls are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are boxes. All bags are boxes. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are toys. All cups are caps. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are pens. All pens are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are bells. No bells are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some keys are balls. All balls are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are bags. All bags are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No keys are kites. No keys are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are coins. All bells are toys. Conclusion: Some coins are toys. 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. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. Yes
  25. Yes
  26. No
  27. Yes
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. Yes
  35. Yes
  36. No
  37. No
  38. No
  39. No
  40. Yes

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