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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 391 · 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: No coins are balls. All rings are coins. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are pens. Some kites are pens. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are shoes. No keys are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are pens. All toys are pens. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are books. No cups are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are rings. All rings are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are shoes. All shoes are balls. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are caps. No caps are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No boxes are keys. Some keys are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are caps. All caps are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are cups. No shoes are boxes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are books. No boxes are books. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are bells. All balls are caps. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some books are balls. All coins are books. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are shoes. All bags are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are toys. Some keys are books. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are bells. All bags are balls. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are keys. No books are balls. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are cups. Some coins are cups. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are pens. All pens are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are caps. All coins are caps. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are coins. No pens are coins. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are keys. No kites are bells. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are caps. All books are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are coins. Some coins are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are cups. No pens are cups. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are boxes. All coins are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are kites. Some coins are pens. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are balls. Some balls are toys. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are bells. All books are shoes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No kites are boxes. All kites are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are boxes. Some boxes are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are books. No cups are books. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are bags. Some balls are toys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are rings. All pens are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some rings are shoes. No cups are rings. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are books. All caps are keys. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All cups are toys. Some bells are cups. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are caps. All caps are boxes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are pens. All balls are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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