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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 125 · 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 kites are pens. No coins are pens. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are shoes. All rings are shoes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are pens. No keys are pens. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are shoes. No shoes are cups. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are bells. Some shoes are bells. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are coins. No shoes are boxes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are keys. All keys are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are shoes. All shoes are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are bags. All rings are cups. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are boxes. All shoes are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No rings are boxes. No bags are rings. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are cups. All toys are kites. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are caps. Some boxes are caps. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are kites. No caps are kites. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. Some bags are balls. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are pens. Some rings are cups. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are balls. No balls are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are pens. All pens are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are cups. All books are bags. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are cups. No books are bells. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are bags. All bags are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are keys. No keys are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No caps are coins. All cups are coins. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are pens. No pens are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bells. No coins are bells. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are boxes. No pens are boxes. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are balls. No boxes are balls. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are balls. Some keys are books. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are cups. All bells are balls. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are coins. All balls are boxes. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are boxes. All boxes are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are pens. All balls are pens. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are toys. All cups are rings. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are toys. Some books are toys. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are boxes. Some rings are boxes. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are rings. All rings are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are pens. Some bags are caps. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are kites. All kites are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are books. Some caps are books. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are rings. Some rings are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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