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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 311 · 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 bags are rings. Some bags are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are rings. No bells are coins. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bells are rings. All rings are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are toys. All toys are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are bags. All bags are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are shoes. Some books are bells. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are keys. Some bells are toys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are balls. Some keys are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are shoes. All balls are shoes. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are coins. All books are bells. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are shoes. Some shoes are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are boxes. Some boxes are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are bags. Some bags are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are boxes. All boxes are caps. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are toys. No toys are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are toys. No cups are toys. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are rings. No bells are books. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are cups. No rings are shoes. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No boxes are books. Some books are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are toys. All toys are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are rings. No rings are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No coins are pens. No pens are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some shoes are keys. Some keys are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bags. All bells are rings. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are coins. No caps are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are coins. Some rings are boxes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are coins. All coins are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are kites. No boxes are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are bells. Some shoes are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are keys. No keys are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some caps are bells. All caps are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bells are pens. No toys are pens. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are bags. No bags are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are bags. All bags are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are shoes. Some shoes are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No caps are shoes. No shoes are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are kites. Some keys are shoes. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No caps are coins. Some caps are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some balls are pens. No balls are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are bags. No pens are bags. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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