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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 159 · 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 toys are bells. Some balls are toys. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are boxes. Some rings are pens. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are books. Some bags are caps. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some keys are boxes. No boxes are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are keys. Some toys are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are balls. No cups are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are rings. All rings are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some coins are balls. No boxes are coins. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are books. All keys are pens. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are books. All kites are books. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are coins. Some cups are books. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are keys. No keys are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some shoes are balls. No shoes are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are shoes. All balls are shoes. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are shoes. All shoes are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are rings. Some keys are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are bells. All bells are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are books. All pens are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are rings. No rings are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are boxes. Some balls are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are balls. All bags are bells. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are toys. Some bags are bells. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No pens are shoes. Some bells are shoes. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are pens. All pens are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are caps. Some books are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are bags. No bags are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are rings. Some shoes are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No keys are kites. Some keys are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some caps are pens. No caps are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are books. Some cups are books. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some toys are boxes. Some toys are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are bags. No pens are books. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some balls are books. All balls are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are coins. No caps are toys. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are bags. Some caps are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are caps. No balls are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are keys. Some keys are shoes. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some keys are boxes. Some keys are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are books. All toys are books. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No pens are kites. Some kites are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. Yes
  6. No
  7. Yes
  8. No
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. Yes
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  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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