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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 51 · 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 pens are bags. Some kites are pens. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are kites. Some bags are rings. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are toys. No kites are caps. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are keys. Some pens are bells. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are bells. Some cups are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are bags. Some rings are bags. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are kites. All shoes are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are shoes. All pens are toys. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are keys. No toys are boxes. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are pens. All caps are keys. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are cups. All cups are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are books. All books are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are pens. Some books are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are kites. Some bags are kites. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are pens. All coins are kites. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are caps. No caps are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are kites. No kites are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are kites. All books are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are cups. All coins are cups. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are balls. Some shoes are balls. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are books. No books are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are bells. All keys are bells. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are cups. All toys are caps. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are coins. All books are rings. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are books. All keys are balls. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No keys are kites. All keys are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some keys are boxes. All bags are boxes. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All rings are caps. No bags are rings. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are boxes. All bags are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are boxes. All cups are shoes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are toys. All toys are bells. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are shoes. All rings are shoes. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are cups. No books are cups. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are books. Some toys are books. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are bags. All rings are bags. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are boxes. No bells are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some rings are shoes. Some toys are shoes. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are coins. No coins are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are pens. All balls are pens. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are books. All cups are books. Conclusion: No cups 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. Yes
  6. No
  7. Yes
  8. Yes
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. No
  22. Yes
  23. Yes
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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