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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 124 · 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: Some kites are keys. All keys are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are toys. Some pens are caps. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No toys are bags. No toys are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No caps are bells. No caps are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are rings. No rings are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are coins. All coins are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are bags. No caps are keys. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are toys. No caps are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are balls. All boxes are balls. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are books. No pens are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are shoes. No rings are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are kites. All bells are kites. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are shoes. Some kites are shoes. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are coins. No pens are coins. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are coins. All coins are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are books. Some rings are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are bags. All bags are kites. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are pens. No boxes are pens. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are boxes. No boxes are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are keys. No keys are balls. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are keys. Some toys are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are boxes. Some kites are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are coins. All bags are coins. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are toys. No pens are toys. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are coins. Some kites are bells. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No keys are coins. All toys are keys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are bags. All pens are bags. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are shoes. All shoes are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are keys. No toys are kites. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No keys are bags. No keys are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are cups. Some pens are cups. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No balls are coins. All cups are coins. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some books are toys. All toys are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No caps are rings. Some pens are rings. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are boxes. No pens are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are kites. All cups are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are bags. All cups are bags. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are boxes. All shoes are books. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are books. All cups are books. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are coins. Some shoes are books. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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