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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 258 · 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 bells are toys. Some boxes are bells. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are coins. All cups are toys. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No coins are keys. All coins are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are books. All books are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are rings. All rings are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No kites are balls. All toys are balls. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are shoes. Some shoes are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are caps. All cups are rings. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are kites. All bells are rings. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are bells. All bells are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are cups. Some shoes are cups. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are coins. All coins are boxes. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are boxes. All boxes are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bags are boxes. No keys are bags. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are coins. No pens are caps. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are caps. No books are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are pens. No rings are balls. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are caps. All pens are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are bells. All bells are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are bags. No boxes are bags. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are caps. No shoes are caps. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are balls. All balls are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some keys are toys. All toys are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are rings. Some toys are bags. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are pens. Some pens are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are shoes. No kites are boxes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are books. All keys are boxes. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are books. All rings are books. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are boxes. No boxes are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are coins. No coins are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are bags. No bags are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are boxes. All boxes are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are shoes. All bells are coins. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are pens. No pens are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are balls. Some coins are balls. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some shoes are boxes. No boxes are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some kites are coins. All kites are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are pens. Some toys are bells. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are pens. All kites are caps. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are bells. All balls are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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