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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 358 · 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 rings are toys. No rings are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are boxes. No keys are boxes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are toys. All coins are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are boxes. All boxes are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are cups. No boxes are shoes. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are kites. All cups are bells. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No balls are kites. No books are kites. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are coins. No bags are cups. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are rings. Some rings are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are shoes. All kites are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are balls. All balls are rings. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are boxes. Some shoes are pens. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are books. All toys are books. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are books. No rings are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are shoes. No shoes are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are rings. All rings are toys. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are cups. Some cups are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are books. No books are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are shoes. Some kites are shoes. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are caps. All toys are caps. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are kites. All pens are caps. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are pens. All shoes are bells. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are boxes. All caps are boxes. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All coins are toys. No balls are toys. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are coins. Some rings are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are coins. Some rings are shoes. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are coins. No rings are coins. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are kites. Some kites are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are bells. All keys are bells. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are rings. All rings are kites. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are keys. All rings are keys. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No caps are pens. All keys are pens. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are kites. No kites are shoes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are rings. Some bags are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are toys. All keys are books. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are toys. All bells are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are toys. No pens are toys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are cups. All pens are cups. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are coins. No coins are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are bags. Some balls are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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