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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 160 · 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 rings. All balls are coins. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are coins. No keys are coins. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are keys. All keys are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are toys. All shoes are toys. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some cups are balls. Some cups are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are kites. No coins are bells. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are balls. No kites are balls. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are bags. No bags are boxes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are boxes. All pens are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are cups. Some kites are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are kites. All pens are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are boxes. All rings are books. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are cups. All boxes are cups. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are balls. All cups are balls. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are bags. Some caps are cups. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are bells. No caps are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are books. All books are toys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are toys. All keys are coins. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are cups. All balls are cups. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are keys. Some shoes are keys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are boxes. All boxes are pens. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are keys. Some bells are caps. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are bells. All bells are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are toys. Some balls are caps. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are caps. Some keys are bags. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are cups. All toys are keys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are cups. All cups are caps. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are boxes. Some bells are coins. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are books. Some books are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are pens. Some pens are toys. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are bags. All bags are boxes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are pens. Some pens are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are bags. All keys are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are shoes. All shoes are caps. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No kites are bags. Some kites are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are balls. No coins are rings. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are keys. Some keys are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are books. No kites are boxes. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are balls. Some keys are balls. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are bags. Some shoes are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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