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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 409 · 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 coins are pens. Some coins are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are bells. All shoes are boxes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are keys. All balls are shoes. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some shoes are keys. All shoes are toys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some rings are cups. Some boxes are cups. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No shoes are cups. All bells are cups. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All coins are bags. Some coins are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are toys. Some toys are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No caps are rings. No boxes are caps. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are bags. No keys are bags. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are rings. All bags are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No shoes are rings. No boxes are shoes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are rings. All keys are toys. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are bags. All books are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are balls. Some toys are bags. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are coins. All bells are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are pens. Some bags are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are kites. All kites are books. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All rings are kites. All shoes are kites. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are pens. No books are bags. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are boxes. All books are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are cups. All boxes are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are bells. No pens are boxes. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No coins are bags. Some bags are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are kites. Some caps are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are rings. Some books are rings. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are books. No balls are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are books. All books are kites. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are kites. Some pens are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are caps. All caps are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are bags. No keys are pens. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No caps are balls. No kites are balls. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bags are caps. All pens are bags. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are books. No books are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are balls. Some boxes are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are bags. All boxes are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are pens. No pens are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some rings are keys. Some boxes are keys. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are pens. No pens are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are rings. All bells are rings. Conclusion: No caps are bells. 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. Yes
  7. Yes
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. No
  15. Yes
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. Yes

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