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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 127 · 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 coins are boxes. Some coins are rings. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are shoes. No balls are books. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No kites are keys. All bags are kites. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bags are caps. Some books are bags. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are pens. Some pens are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are coins. No boxes are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are boxes. All boxes are rings. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are caps. No caps are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are kites. No cups are books. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are cups. Some toys are shoes. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are coins. All toys are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are caps. Some pens are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All cups are rings. No boxes are rings. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are pens. No pens are shoes. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are bags. All bags are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are cups. All balls are cups. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some coins are balls. All rings are balls. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are caps. No toys are caps. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are shoes. Some caps are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are bags. Some books are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are kites. Some kites are shoes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are bags. All books are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are coins. All coins are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are rings. All rings are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are bells. All pens are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are toys. All pens are keys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are balls. All rings are balls. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are boxes. No rings are boxes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are cups. Some cups are balls. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are bags. Some books are cups. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are bells. No pens are bells. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are rings. Some cups are rings. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some cups are rings. Some rings are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are balls. All balls are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are pens. Some keys are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are coins. No coins are bags. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are bags. All keys are rings. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are shoes. No rings are boxes. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are books. All rings are boxes. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are toys. All toys are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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