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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 121 · 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 cups are pens. No pens are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are boxes. All balls are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are coins. Some shoes are rings. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are keys. All toys are keys. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are books. All kites are books. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No cups are shoes. All books are cups. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are bags. All bags are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are cups. No bags are boxes. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are kites. All toys are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. All pens are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are books. All coins are toys. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are caps. Some cups are caps. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are cups. No cups are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are bags. Some rings are bells. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No keys are books. Some books are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are cups. All keys are books. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are keys. All boxes are keys. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are keys. Some cups are pens. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bells are keys. Some bells are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are keys. Some toys are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are balls. All books are bags. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are rings. All rings are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are coins. All bells are coins. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are books. Some balls are cups. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are pens. No boxes are bags. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are bells. All boxes are balls. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some balls are rings. All books are rings. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are bags. All shoes are toys. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are coins. Some bags are coins. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are pens. No pens are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are keys. No keys are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are shoes. All boxes are bags. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are toys. Some toys are caps. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are cups. All pens are cups. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are pens. All pens are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are kites. Some books are toys. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are bags. Some books are bags. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are shoes. All books are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are keys. Some coins are keys. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are shoes. Some books are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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