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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 134 · 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 shoes are bags. All bags are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some boxes are shoes. Some caps are boxes. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are keys. All rings are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are coins. All cups are boxes. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are balls. Some books are balls. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are boxes. Some boxes are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are caps. All bags are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are bells. Some cups are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are caps. All caps are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are pens. All kites are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are keys. No keys are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some coins are books. All coins are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are boxes. All boxes are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are pens. All balls are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are caps. No caps are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some toys are caps. All toys are boxes. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are toys. All pens are caps. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are pens. Some rings are caps. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are books. No caps are books. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are keys. Some coins are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are books. No keys are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are pens. No bags are pens. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are pens. No bags are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No boxes are keys. Some pens are keys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No caps are coins. Some rings are coins. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No coins are pens. No coins are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are toys. All bags are toys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are cups. All cups are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are coins. All coins are toys. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are pens. No keys are pens. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are books. Some books are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are bells. Some shoes are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are caps. All rings are cups. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are rings. No balls are rings. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No shoes are balls. All balls are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are cups. All bags are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No caps are shoes. All caps are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are pens. No pens are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are books. All rings are books. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are cups. All rings are cups. Conclusion: No books are rings. 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. No
  8. No
  9. Yes
  10. No
  11. No
  12. Yes
  13. Yes
  14. Yes
  15. Yes
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. Yes
  29. No
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. Yes
  40. Yes

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