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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 255 · 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: Some boxes are cups. No rings are cups. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bells are pens. No boxes are pens. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are shoes. All keys are shoes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No caps are coins. No cups are coins. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are shoes. No cups are boxes. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are books. No bells are keys. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are pens. No books are pens. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some coins are bags. All coins are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are keys. No keys are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are rings. Some bells are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are balls. Some cups are balls. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some cups are toys. No toys are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are kites. No bags are kites. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are books. Some toys are books. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are coins. No cups are caps. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are pens. No pens are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No caps are boxes. All books are caps. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are bags. Some caps are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bells. Some kites are bells. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are shoes. All keys are shoes. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are toys. Some bells are rings. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are bags. All shoes are bells. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are boxes. All boxes are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are caps. Some caps are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are balls. All balls are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are bells. No cups are bells. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are balls. No balls are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No shoes are bags. All bells are shoes. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No keys are balls. All boxes are balls. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are cups. All cups are caps. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are pens. Some shoes are pens. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are toys. Some toys are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are toys. No toys are rings. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are bags. All cups are rings. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are pens. Some toys are bags. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some kites are boxes. All boxes are caps. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some rings are bags. Some rings are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are rings. Some books are kites. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are boxes. No pens are caps. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are balls. All bags are balls. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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