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Syllogism Worksheet

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

Answer key

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

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