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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 168 · 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 coins are rings. No pens are coins. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are caps. No kites are caps. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are bags. All balls are bags. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are caps. No caps are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are coins. All bags are books. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are keys. No bags are keys. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are caps. No shoes are caps. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are pens. No bells are coins. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are bags. All coins are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are toys. Some cups are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bags are caps. Some bags are keys. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are boxes. All boxes are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are boxes. Some boxes are balls. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are boxes. Some keys are bags. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No boxes are books. No pens are books. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are books. All bags are kites. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bells are rings. All rings are cups. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are keys. All balls are pens. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are toys. All toys are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are balls. Some cups are bags. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are bells. No cups are bells. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are boxes. Some books are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are boxes. All toys are keys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No kites are books. Some cups are books. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are shoes. All toys are books. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are bags. All bags are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are keys. All balls are rings. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are pens. Some balls are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are pens. No pens are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are caps. All caps are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are shoes. Some toys are shoes. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are caps. No coins are shoes. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No cups are bags. Some pens are bags. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are balls. Some kites are pens. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are books. Some bags are keys. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bags are books. No books are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are caps. All caps are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are cups. All books are cups. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are bells. All toys are kites. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some rings are kites. Some coins are kites. Conclusion: No coins are rings. 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. No
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. Yes
  28. Yes
  29. No
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. No
  39. No
  40. No

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