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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 231 · 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 cups. Some cups are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No balls are kites. No kites are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are rings. All books are coins. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some kites are pens. No pens are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are boxes. No keys are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are boxes. No books are cups. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are pens. Some coins are keys. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No caps are pens. All books are pens. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some shoes are books. All toys are shoes. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are cups. Some pens are keys. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are cups. All cups are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are boxes. All pens are kites. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are cups. No pens are coins. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No balls are kites. Some coins are kites. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are cups. All boxes are kites. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are kites. All keys are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are books. Some books are keys. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are cups. All books are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are rings. No toys are books. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are boxes. No boxes are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are balls. No coins are rings. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are bells. All bells are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are bags. No bags are pens. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are pens. All balls are cups. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are keys. No keys are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are shoes. All coins are boxes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are rings. All rings are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are caps. All pens are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are keys. All boxes are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are pens. All cups are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are coins. All bags are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are shoes. All boxes are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some coins are balls. Some balls are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are bags. All balls are coins. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are caps. Some cups are books. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No coins are bells. No cups are bells. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are keys. All bags are cups. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are coins. All toys are coins. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are bags. Some bags are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are bells. All boxes are kites. Conclusion: All bells are kites. 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. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. Yes
  27. No
  28. No
  29. Yes
  30. No
  31. Yes
  32. Yes
  33. No
  34. Yes
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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