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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 406 · 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 keys are coins. All kites are keys. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are coins. All coins are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some pens are boxes. All pens are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are balls. All pens are balls. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are bags. Some rings are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are rings. All rings are boxes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are bells. No bells are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are kites. All kites are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No keys are books. No books are cups. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are cups. No cups are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are kites. No kites are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are bags. All kites are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are pens. Some pens are books. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some balls are coins. All pens are balls. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are kites. No kites are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are toys. All books are balls. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are keys. No toys are coins. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are books. No books are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are boxes. No toys are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are books. No pens are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are bags. All keys are cups. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are bags. No books are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No keys are caps. All keys are bells. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are books. All books are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are coins. No bells are boxes. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are rings. Some keys are coins. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are shoes. All shoes are rings. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are bells. All boxes are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are bags. No bags are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are pens. No kites are pens. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are pens. All kites are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are balls. No balls are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are bags. Some kites are coins. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are keys. No coins are keys. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No keys are bells. No bells are caps. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are books. Some shoes are kites. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are kites. No pens are kites. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are bells. No balls are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are coins. Some shoes are books. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are bells. No shoes are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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