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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 397 · 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 balls are pens. All balls are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No shoes are rings. No bags are rings. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are pens. Some toys are pens. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are shoes. All bags are shoes. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are keys. No keys are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No cups are caps. All books are cups. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are bells. All caps are keys. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are coins. All balls are boxes. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are bells. No pens are balls. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No coins are cups. All cups are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are caps. No caps are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are books. All pens are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are pens. All caps are pens. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are pens. Some shoes are coins. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are keys. Some keys are cups. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are bags. All bags are cups. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are coins. All bells are books. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are bags. All bags are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are toys. Some pens are coins. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are books. Some bags are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are bags. Some bells are books. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are caps. No bags are caps. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are coins. All shoes are coins. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are bells. No caps are bags. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All cups are pens. All pens are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No books are bells. Some bells are toys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are cups. No cups are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are bags. No coins are toys. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are rings. Some boxes are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are cups. All caps are shoes. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No boxes are coins. All caps are coins. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are bells. No bells are rings. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are rings. Some rings are bags. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are bags. All balls are bags. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are bells. All rings are cups. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are balls. All balls are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are toys. No bags are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are toys. Some toys are boxes. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are bags. No rings are bags. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are cups. Some coins are books. Conclusion: Some cups are coins. 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. Yes
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. No
  30. Yes
  31. Yes
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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