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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 232 · 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 boxes are kites. All caps are kites. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are kites. All books are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some toys are cups. Some cups are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are boxes. Some coins are boxes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are coins. Some coins are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are kites. All cups are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are caps. Some toys are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are caps. No caps are keys. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are keys. Some balls are rings. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are bags. All keys are coins. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are keys. All boxes are keys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some rings are bags. All bells are bags. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are boxes. All coins are boxes. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are pens. No shoes are pens. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are caps. Some kites are bags. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are books. No books are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are balls. All balls are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are toys. All balls are toys. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are bags. No bags are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are bells. No boxes are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are toys. All bells are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are cups. All boxes are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are rings. Some kites are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some shoes are toys. All shoes are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are coins. Some books are toys. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are rings. All caps are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are keys. Some bells are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are balls. All bells are balls. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are rings. No rings are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are shoes. Some cups are kites. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are keys. Some cups are books. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are cups. All bags are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are caps. No balls are toys. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are bells. Some bells are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are rings. All cups are rings. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are balls. All coins are balls. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are books. No balls are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are pens. No bells are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are books. All boxes are kites. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are balls. Some shoes are balls. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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