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Syllogism Worksheet

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

Answer key

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

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