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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 389 · 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 bags are rings. No coins are rings. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are rings. Some kites are books. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are bags. Some bags are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are pens. All boxes are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are bells. All bells are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are rings. All books are bags. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are shoes. Some shoes are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are rings. All boxes are rings. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No shoes are toys. All bells are shoes. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are kites. Some rings are bags. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are pens. All bells are balls. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No shoes are coins. No shoes are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are kites. No keys are kites. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are shoes. Some toys are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are boxes. No boxes are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are cups. No cups are caps. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are kites. Some keys are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are bags. Some coins are bags. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are bags. All caps are boxes. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are boxes. No books are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are cups. Some coins are bags. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are caps. All caps are coins. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are books. Some shoes are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are books. No balls are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are rings. All bells are rings. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No books are caps. Some rings are caps. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are balls. Some shoes are balls. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All rings are bags. All bags are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are bells. All shoes are bells. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are caps. No rings are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are balls. Some books are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are shoes. All shoes are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are balls. No balls are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are toys. All shoes are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are books. All books are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No keys are toys. All cups are keys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are pens. All rings are balls. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are keys. No pens are bells. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some kites are toys. All cups are toys. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are bags. All toys are bells. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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