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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 108 · 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 books are shoes. Some books are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are coins. No coins are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are rings. Some toys are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are bags. All pens are bags. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some kites are toys. All kites are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are coins. All bells are pens. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some balls are books. No books are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No balls are coins. All cups are balls. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are bags. No bags are balls. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are rings. Some bags are rings. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bells are coins. Some boxes are coins. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are bells. All keys are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are pens. All toys are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No balls are keys. All balls are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No rings are kites. All toys are rings. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are boxes. Some shoes are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are toys. No rings are pens. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are rings. All shoes are rings. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are kites. No toys are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are pens. All keys are pens. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are cups. No caps are cups. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are caps. No caps are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are toys. No boxes are toys. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are books. Some bags are pens. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are rings. All pens are books. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are boxes. No boxes are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are coins. No coins are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No caps are keys. All coins are keys. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are boxes. No coins are boxes. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are keys. Some boxes are keys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are keys. All kites are keys. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are rings. No rings are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are coins. No coins are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are caps. Some caps are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are bells. All bells are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bells are shoes. All bells are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No toys are cups. Some toys are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are boxes. All cups are boxes. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bags are caps. Some balls are caps. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are keys. No shoes are keys. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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