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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 128 · 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 keys are toys. No toys are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are kites. No pens are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are coins. No coins are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are cups. No toys are cups. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some kites are bags. All bags are boxes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are boxes. Some coins are keys. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are coins. No rings are coins. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are boxes. No bags are cups. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are boxes. No pens are boxes. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are shoes. All rings are kites. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are coins. Some boxes are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No caps are coins. All books are coins. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are coins. All pens are rings. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are pens. All pens are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are rings. Some pens are rings. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are bags. All bags are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bags are balls. All pens are balls. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are balls. No kites are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are rings. No cups are rings. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are kites. Some bags are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some kites are rings. All kites are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are balls. All keys are balls. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No shoes are books. All toys are books. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some shoes are cups. Some balls are cups. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All cups are boxes. All rings are cups. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are coins. No bells are coins. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No caps are shoes. Some boxes are caps. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are books. Some rings are books. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No keys are shoes. No pens are keys. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are kites. Some toys are kites. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are pens. All toys are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are keys. No coins are toys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No toys are keys. All cups are toys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are bags. All toys are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are bags. Some boxes are shoes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are shoes. Some kites are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are keys. Some toys are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are pens. Some pens are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are toys. All toys are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are bags. Some cups are bags. Conclusion: Some rings are cups. 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. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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