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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 283 · 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: Some bags are kites. Some keys are bags. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some balls are bags. All balls are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are shoes. Some cups are rings. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are kites. Some boxes are coins. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are shoes. All shoes are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are cups. All bags are cups. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are cups. No cups are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are pens. Some bells are pens. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No kites are pens. Some bells are pens. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are boxes. No boxes are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are bells. No bells are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are cups. All pens are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are coins. Some bells are toys. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are boxes. All rings are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are keys. All boxes are keys. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are pens. All bags are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are rings. No shoes are rings. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No keys are toys. All pens are keys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are toys. No keys are coins. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are bells. No cups are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are keys. Some keys are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are bells. Some bells are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are shoes. No shoes are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are bells. No bells are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No coins are cups. All cups are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are boxes. Some shoes are caps. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are bells. Some balls are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are kites. No kites are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are shoes. Some shoes are bells. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are kites. No keys are kites. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are books. All books are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are bags. No caps are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are boxes. Some pens are toys. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are bags. No boxes are bags. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are bells. No balls are books. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No shoes are keys. All bells are keys. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are bells. No bags are bells. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are coins. Some bags are boxes. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are balls. All bells are cups. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No coins are shoes. No coins are books. Conclusion: All books are shoes. 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. Yes
  12. Yes
  13. No
  14. No
  15. Yes
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. Yes
  25. No
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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