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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 47 · 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 coins are balls. Some coins are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No keys are boxes. All boxes are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are shoes. Some shoes are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are shoes. All books are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are books. Some coins are caps. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are pens. Some bags are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are bells. Some cups are kites. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are keys. Some balls are bags. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No boxes are keys. No cups are keys. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are kites. Some kites are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No rings are caps. All boxes are caps. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No cups are bags. All caps are bags. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are caps. All rings are caps. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are pens. Some pens are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are books. Some kites are rings. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are balls. All kites are rings. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are toys. All books are toys. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are bells. All boxes are bells. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are caps. All shoes are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are boxes. All pens are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No pens are bags. Some books are pens. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are balls. Some balls are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are books. No books are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are shoes. All rings are pens. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are rings. All boxes are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bells are rings. All cups are rings. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are bags. No bags are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No caps are toys. No toys are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are boxes. All boxes are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are coins. No coins are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are balls. No balls are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are caps. Some caps are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some books are toys. No kites are toys. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are caps. All caps are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are rings. All books are caps. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some shoes are keys. All keys are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are cups. No cups are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are toys. All bags are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are books. All books are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are pens. Some balls are books. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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