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Syllogism Worksheet

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

Answer key

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

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