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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 326 · 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 balls are rings. All balls are toys. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are kites. Some caps are bags. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are balls. All balls are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some shoes are caps. All keys are caps. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are kites. No pens are balls. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are rings. All pens are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No rings are keys. All rings are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are toys. Some toys are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are balls. No kites are balls. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are cups. All keys are cups. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are caps. All caps are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are bells. No balls are bells. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some shoes are caps. All rings are shoes. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are keys. No keys are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are cups. Some rings are bells. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are balls. All balls are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are shoes. No bags are rings. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are caps. Some caps are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are shoes. All kites are caps. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are bells. No bells are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are bags. Some boxes are pens. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are boxes. All cups are bags. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are rings. All boxes are caps. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are bags. All keys are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are caps. No pens are books. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.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
  27. 27.Statements: No cups are balls. Some cups are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are rings. No rings are coins. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are books. All keys are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No toys are balls. All toys are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are keys. No books are keys. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are toys. No rings are toys. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are boxes. No boxes are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are bags. All caps are keys. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are balls. No toys are balls. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are cups. All cups are toys. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are coins. No bags are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are rings. All balls are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are bells. All pens are bells. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are pens. Some rings are boxes. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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