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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 375 · 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 shoes are bags. No caps are bags. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are books. Some books are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are keys. All caps are bags. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are rings. All boxes are shoes. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are books. No books are coins. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are books. Some books are balls. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are balls. Some books are boxes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are boxes. All balls are coins. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are pens. No pens are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are boxes. No boxes are coins. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are caps. Some caps are boxes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are boxes. All caps are balls. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are rings. All cups are rings. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are toys. No toys are shoes. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No cups are boxes. All bags are cups. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are cups. Some keys are pens. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are balls. All pens are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are cups. Some toys are balls. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are books. All books are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are rings. Some bags are pens. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are keys. All toys are bells. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are balls. All pens are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are caps. Some keys are pens. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All coins are books. No coins are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are balls. No bags are balls. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are books. Some books are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are bags. Some toys are bells. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are coins. All coins are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are boxes. Some balls are boxes. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are shoes. No caps are shoes. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some caps are coins. All cups are coins. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are rings. All rings are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some books are caps. All books are balls. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are keys. No bags are keys. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are books. No cups are books. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are kites. No boxes are kites. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are kites. No kites are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are cups. All boxes are shoes. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some pens are kites. All caps are pens. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are cups. All cups are coins. Conclusion: No coins are pens. 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. No
  7. No
  8. Yes
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. Yes
  19. Yes
  20. Yes
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. Yes
  35. Yes
  36. Yes
  37. Yes
  38. Yes
  39. No
  40. No

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