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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 390 · 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 bags are balls. Some balls are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are keys. All pens are keys. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bells are rings. Some shoes are rings. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are balls. No toys are balls. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are caps. All bells are keys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are cups. No coins are caps. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are keys. Some boxes are coins. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are balls. All coins are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are caps. No books are boxes. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No balls are rings. Some boxes are rings. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are toys. All toys are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are toys. All rings are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are balls. All cups are kites. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are bells. No bells are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are books. All kites are pens. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are boxes. All books are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are coins. Some shoes are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are boxes. All boxes are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are rings. No rings are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are cups. All cups are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are kites. All caps are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are caps. All caps are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are kites. All kites are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are kites. All rings are cups. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are books. No books are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are boxes. Some keys are boxes. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are bags. No bags are balls. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are books. All bags are books. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No shoes are kites. All kites are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are rings. All bells are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are pens. All pens are caps. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are bells. All caps are balls. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are caps. Some books are kites. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some rings are books. All books are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are toys. No bells are rings. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No cups are pens. All bags are cups. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are shoes. All shoes are rings. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No kites are coins. All keys are coins. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are coins. Some coins are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are toys. Some balls are rings. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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