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Syllogism Worksheet

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

Answer key

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

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