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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 148 · 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 rings are bags. All balls are rings. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are coins. Some bags are coins. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are bells. All coins are shoes. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are toys. All coins are boxes. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are bells. All rings are bells. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are toys. All toys are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are books. Some bells are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are cups. Some books are cups. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are bells. All shoes are balls. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are coins. All coins are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are boxes. All rings are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are cups. Some pens are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are kites. No bags are kites. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are bags. Some caps are kites. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are keys. Some caps are shoes. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All boxes are shoes. All toys are boxes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are kites. No balls are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are shoes. No caps are shoes. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are keys. Some cups are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are bags. Some cups are bags. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are pens. All cups are pens. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All kites are coins. Some kites are cups. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are toys. No toys are shoes. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are boxes. Some pens are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are rings. All rings are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are toys. All cups are toys. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are toys. All toys are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are pens. All bells are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are kites. All bags are coins. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are shoes. No shoes are bells. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are cups. No keys are cups. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are toys. All coins are toys. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are keys. No boxes are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are coins. All bells are coins. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are coins. All keys are toys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are bells. No bells are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are pens. Some pens are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are coins. All books are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are balls. All books are rings. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are coins. All coins are balls. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. No
  4. No
  5. Yes
  6. No
  7. No
  8. No
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. Yes
  24. No
  25. Yes
  26. No
  27. No
  28. No
  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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