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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 404 · 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 balls are bags. All bags are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are keys. No keys are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are bags. Some caps are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are boxes. No kites are boxes. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are toys. All bells are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are toys. Some books are toys. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are coins. All bags are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are books. Some books are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are rings. All caps are rings. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are pens. No shoes are rings. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are bags. All bags are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are toys. All coins are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are bells. All bells are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are toys. No toys are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are caps. No boxes are cups. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are bells. All bells are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are balls. No balls are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are rings. Some balls are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are shoes. All bags are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some boxes are kites. No bells are boxes. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are books. All books are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are boxes. Some boxes are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are books. All books are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are balls. All balls are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are bells. All books are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are books. All coins are books. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are rings. All rings are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are pens. No bags are pens. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are toys. No caps are books. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are boxes. All coins are boxes. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No caps are pens. All pens are boxes. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are keys. No bags are keys. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are balls. No balls are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No keys are coins. No books are keys. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are balls. All caps are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are toys. All bags are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are books. No books are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are boxes. Some toys are boxes. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bags are books. All bells are bags. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are coins. All kites are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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