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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 277 · 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 toys are cups. Some toys are keys. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are keys. Some keys are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are bags. All books are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are coins. Some books are toys. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some rings are caps. All rings are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are rings. All coins are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are cups. All cups are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are bags. No coins are toys. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are kites. Some rings are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are caps. All caps are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No rings are books. All kites are books. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are toys. No bells are toys. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are books. All shoes are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are rings. No boxes are caps. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are keys. All keys are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are bells. Some rings are bells. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are toys. All pens are toys. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are books. All rings are books. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are books. Some shoes are bells. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No balls are pens. No toys are balls. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are rings. All bells are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are rings. All toys are rings. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are toys. All books are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bells are books. Some bells are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are caps. No bags are caps. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are keys. All balls are keys. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are boxes. No caps are boxes. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are rings. All coins are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are balls. No bags are balls. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some kites are bells. All kites are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are cups. No cups are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are cups. All books are pens. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are pens. Some keys are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are shoes. Some toys are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are pens. Some kites are bags. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All keys are bags. All bags are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are bells. Some bells are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are keys. Some keys are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are kites. No keys are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are boxes. No books are boxes. Conclusion: All books are coins. 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. No
  8. No
  9. No
  10. Yes
  11. Yes
  12. No
  13. Yes
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. Yes
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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