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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 103 · 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 bells. Some bells are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are bags. No books are bags. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are cups. All bags are shoes. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are boxes. No bells are boxes. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are boxes. All bags are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are caps. No rings are caps. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are rings. No boxes are rings. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are books. No pens are books. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No keys are cups. No shoes are cups. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are cups. Some cups are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are shoes. Some shoes are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are rings. No pens are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are shoes. No balls are shoes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are pens. No rings are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are boxes. No shoes are boxes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are bells. Some toys are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are bags. All toys are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are pens. Some kites are keys. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are balls. All kites are balls. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are rings. Some books are rings. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are pens. No kites are cups. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are keys. Some keys are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are coins. All pens are coins. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are pens. No coins are pens. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are cups. Some bags are cups. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are boxes. Some bags are boxes. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are boxes. All keys are balls. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are cups. All cups are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are pens. Some bells are toys. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are boxes. All keys are shoes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are pens. No pens are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are toys. Some keys are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are books. All keys are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are pens. All rings are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are kites. No coins are kites. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are coins. Some boxes are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are caps. All cups are keys. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are caps. All caps are coins. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are books. All cups are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are cups. Some cups are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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