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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 259 · 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 caps. No kites are caps. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are kites. No kites are toys. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are coins. No coins are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are books. All books are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are boxes. All bags are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are rings. No kites are toys. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are books. No bags are books. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are bags. All boxes are bags. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are keys. Some bags are bells. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are shoes. Some keys are shoes. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are boxes. No boxes are bells. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are boxes. Some keys are bags. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are boxes. Some boxes are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bells are books. No boxes are bells. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are cups. Some toys are boxes. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are balls. All bells are bags. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are cups. All cups are shoes. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are kites. No balls are kites. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are bags. All shoes are keys. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are books. Some books are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are boxes. All rings are caps. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are rings. All rings are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are bells. Some bells are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All coins are toys. Some coins are caps. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are toys. No balls are bells. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bags are books. All balls are bags. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are balls. No boxes are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are toys. All cups are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some cups are kites. No cups are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are cups. No cups are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are bags. No bags are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are books. No keys are books. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are bags. Some rings are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are toys. All toys are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are rings. No bells are boxes. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are coins. Some rings are books. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are toys. Some cups are pens. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are pens. All pens are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are books. Some caps are coins. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are caps. Some shoes are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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