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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 233 · 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 toys. Some balls are toys. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some cups are keys. No cups are bells. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are pens. All pens are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are coins. All balls are coins. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are rings. Some rings are books. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No keys are books. All kites are books. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are coins. No toys are coins. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some shoes are books. No boxes are books. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are coins. Some rings are shoes. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are caps. All caps are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are bells. No pens are shoes. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are cups. All kites are toys. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are bells. Some bells are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bells are kites. Some books are kites. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are caps. All keys are balls. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are kites. Some cups are kites. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are coins. All books are toys. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are keys. All keys are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are caps. Some coins are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No caps are bags. All books are bags. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some boxes are books. All books are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No boxes are cups. No cups are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are bells. All cups are toys. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are coins. All pens are coins. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are rings. All toys are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are bells. Some bells are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are bells. No shoes are bells. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are keys. No balls are bags. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are rings. No bags are rings. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are bells. Some books are shoes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some boxes are cups. Some coins are boxes. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are shoes. All shoes are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bells are pens. No bells are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are pens. All pens are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All coins are bags. No coins are shoes. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are rings. All rings are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are boxes. All kites are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are boxes. All toys are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are bags. All coins are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are balls. No balls are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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