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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 307 · 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 rings are keys. All keys are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are kites. All bags are shoes. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are balls. No balls are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are pens. Some toys are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are cups. All rings are bells. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are pens. No toys are pens. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are books. All bells are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are kites. No cups are kites. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No boxes are books. All balls are boxes. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are books. All rings are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are keys. No keys are boxes. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are boxes. All bells are toys. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are boxes. All rings are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some balls are pens. All pens are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some caps are boxes. Some boxes are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are keys. No bags are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are caps. All caps are rings. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are boxes. No cups are balls. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All rings are bags. All bags are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are keys. Some balls are bells. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are books. All caps are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are coins. All coins are shoes. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are bells. All bells are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are cups. All cups are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are coins. No toys are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are keys. No pens are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are cups. All bags are cups. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are kites. All cups are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are toys. All toys are cups. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are books. No keys are books. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are keys. All boxes are balls. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bells are toys. Some bells are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some rings are cups. All caps are rings. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some coins are cups. Some cups are rings. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are toys. Some balls are toys. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are bags. All shoes are bags. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are cups. Some coins are keys. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are coins. No keys are kites. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are balls. No caps are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are rings. Some cups are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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