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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 263 · 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 bags are keys. All cups are keys. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are rings. All rings are balls. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are cups. No bags are cups. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are rings. No bags are cups. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are keys. Some rings are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are books. All pens are boxes. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are kites. All bags are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are coins. All coins are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are kites. All kites are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are keys. Some keys are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are balls. All cups are balls. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are bags. All bags are kites. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No coins are boxes. All bags are coins. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are books. Some books are kites. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are toys. All toys are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are bells. All coins are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are cups. All cups are coins. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are bells. All books are bells. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are cups. Some boxes are pens. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are shoes. All toys are bells. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are keys. Some keys are caps. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are cups. All cups are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are bags. No rings are bags. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No keys are shoes. All balls are shoes. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are caps. No kites are bags. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are coins. All coins are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are bags. No books are bags. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No kites are rings. All bags are kites. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some balls are rings. All rings are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are balls. No keys are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are balls. All balls are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are coins. Some books are pens. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are keys. All keys are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are toys. All rings are bells. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No coins are books. No toys are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are caps. All toys are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are boxes. Some books are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are cups. Some bags are books. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are boxes. No books are boxes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No balls are bags. All balls are caps. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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