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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 155 · 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 rings are pens. Some bells are pens. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No balls are keys. No keys are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are coins. Some pens are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are keys. All bells are shoes. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are bells. All balls are kites. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are cups. Some rings are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are bells. All bags are kites. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are boxes. All bags are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are balls. All bells are boxes. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are shoes. No balls are pens. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are boxes. All boxes are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are books. All bags are books. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are pens. All pens are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are rings. No rings are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are shoes. No cups are shoes. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are rings. Some rings are caps. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are books. Some cups are toys. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are kites. No rings are kites. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are pens. No coins are cups. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are boxes. All cups are keys. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are balls. No bells are balls. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are kites. All rings are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No pens are cups. All cups are caps. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are keys. All toys are shoes. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are pens. No keys are pens. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are toys. Some pens are balls. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are bags. All books are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are keys. Some boxes are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are boxes. All kites are boxes. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are coins. Some toys are books. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are pens. All bells are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are cups. Some balls are cups. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are balls. All bags are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are caps. All boxes are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are bags. No pens are bags. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some rings are books. All rings are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are coins. No coins are books. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are boxes. Some boxes are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are pens. No rings are shoes. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are rings. No rings are pens. Conclusion: No kites are pens. 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. Yes
  8. Yes
  9. Yes
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. Yes
  21. Yes
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. Yes

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