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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 202 · 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 keys are toys. All keys are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No shoes are bags. Some bags are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are coins. All caps are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are coins. No coins are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some coins are rings. No rings are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are kites. No bells are caps. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are books. Some books are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are boxes. No coins are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are kites. No kites are toys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are cups. All rings are caps. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some balls are cups. All cups are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are bells. Some shoes are toys. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are bags. All coins are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are pens. All pens are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are coins. No pens are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are bags. All books are coins. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are caps. No caps are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are cups. All keys are cups. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are coins. All coins are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are keys. All boxes are keys. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are shoes. No balls are shoes. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are boxes. All bells are cups. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are pens. All balls are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are balls. No shoes are boxes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are cups. All keys are toys. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are toys. All bells are toys. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some kites are balls. All balls are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are rings. All cups are rings. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are caps. No kites are balls. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are shoes. No pens are shoes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are bags. No bags are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are cups. No balls are keys. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No balls are pens. All pens are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are kites. No kites are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are balls. No cups are balls. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are boxes. All boxes are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some cups are bells. All bells are coins. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bags are pens. All pens are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are pens. Some toys are bags. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are cups. Some cups are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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