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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 130 · 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 bells are coins. No pens are bells. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are boxes. All keys are boxes. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are balls. No balls are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No pens are boxes. All coins are pens. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are coins. No kites are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No books are shoes. Some kites are books. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are keys. No keys are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are kites. Some boxes are bags. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are boxes. Some bags are toys. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are books. All rings are kites. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are keys. All keys are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some cups are bags. Some bags are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bells are books. No toys are bells. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are pens. No caps are bags. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are boxes. All boxes are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bells are coins. All coins are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are pens. Some shoes are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are caps. All caps are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are balls. Some coins are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some boxes are pens. All boxes are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are bags. All bags are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are keys. No bells are shoes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are caps. All toys are boxes. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are keys. No boxes are keys. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are toys. Some bells are keys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No kites are caps. Some kites are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are cups. Some balls are books. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are cups. No books are bells. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are pens. Some cups are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are coins. No pens are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are rings. Some bags are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are boxes. Some boxes are balls. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are cups. Some bells are toys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are shoes. All shoes are coins. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are boxes. All toys are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No kites are coins. Some bags are kites. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are balls. Some balls are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are bells. All bells are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are caps. No books are caps. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are boxes. No boxes are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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