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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 70 · 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 pens are shoes. All shoes are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are caps. All caps are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some pens are caps. All pens are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No boxes are bags. Some balls are bags. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some coins are kites. All kites are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are bags. No bags are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are coins. No coins are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are balls. No bells are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are boxes. All coins are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are caps. Some pens are rings. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are cups. All coins are bags. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are coins. Some books are coins. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are bells. No bells are boxes. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are pens. Some kites are pens. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are cups. No cups are pens. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are toys. All bags are coins. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are shoes. All bags are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are bells. All cups are bells. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are coins. No cups are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No coins are boxes. All bells are boxes. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are keys. Some bells are books. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are boxes. No boxes are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are rings. Some toys are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are coins. No shoes are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are balls. All bells are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are bells. All pens are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are kites. All balls are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are balls. All balls are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are bags. All bags are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bags are toys. Some kites are toys. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are books. Some coins are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are boxes. Some cups are boxes. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are balls. All balls are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some shoes are kites. No caps are kites. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are cups. All rings are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are keys. Some keys are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some rings are coins. No pens are rings. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are bags. No shoes are bags. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are books. No coins are books. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are keys. Some toys are books. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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