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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 105 · 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 shoes are keys. Some shoes are bells. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are bells. All bells are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are keys. All keys are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are kites. Some books are shoes. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are kites. Some kites are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are cups. No keys are cups. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are shoes. Some pens are shoes. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are books. No books are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are boxes. No shoes are boxes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are toys. Some bells are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are kites. Some kites are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are shoes. Some toys are shoes. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are toys. No toys are balls. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are boxes. Some boxes are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are caps. All caps are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are balls. No bags are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are kites. No pens are kites. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are boxes. Some kites are caps. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are toys. No kites are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are bags. All shoes are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are coins. All cups are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are bags. No balls are bags. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are pens. All coins are cups. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are caps. All balls are coins. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some coins are books. All rings are coins. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are rings. All rings are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are balls. Some keys are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are toys. All books are caps. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are toys. No keys are toys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are books. All pens are bags. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are cups. All caps are toys. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are balls. No boxes are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All balls are bells. Some shoes are balls. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are keys. No keys are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are pens. No pens are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are bags. All kites are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are shoes. Some bells are toys. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are cups. All cups are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are bells. All bags are pens. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are bags. No bags are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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