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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 154 · 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 bags are caps. All pens are bags. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are shoes. All books are boxes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are cups. Some pens are cups. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No boxes are toys. Some bells are boxes. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are books. All kites are rings. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are bells. All bags are bells. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are pens. All pens are kites. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are shoes. No toys are shoes. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are rings. Some bells are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are keys. No keys are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are keys. No coins are rings. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are kites. All bells are kites. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are boxes. No bells are pens. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are keys. All keys are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are cups. All shoes are cups. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are keys. All shoes are bags. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are cups. Some kites are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are cups. All cups are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are bells. All keys are toys. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some caps are boxes. No caps are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some toys are cups. No caps are toys. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are kites. Some balls are kites. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some keys are pens. Some boxes are pens. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are keys. All keys are boxes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are balls. All shoes are balls. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are kites. All kites are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are boxes. All boxes are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are coins. All shoes are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are keys. All cups are kites. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are books. Some books are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are pens. All bells are shoes. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are shoes. No coins are balls. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are toys. All toys are caps. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are books. No keys are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some balls are boxes. All balls are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. No toys are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are boxes. Some coins are books. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bags are caps. Some caps are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some kites are books. Some keys are kites. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some rings are shoes. No caps are shoes. Conclusion: No rings are caps. 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. Yes
  15. No
  16. Yes
  17. Yes
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. Yes
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. No
  40. No

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