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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 320 · 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 bells. Some bells are cups. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are pens. All books are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are bags. All bags are kites. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are kites. No bells are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are bells. No toys are bells. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are toys. All books are keys. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No toys are caps. Some caps are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are toys. All toys are pens. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are bells. All coins are bells. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are rings. All bags are toys. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are cups. No toys are boxes. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are boxes. Some bags are boxes. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are pens. No shoes are pens. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are shoes. No bags are keys. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are coins. Some kites are coins. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are kites. All kites are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some coins are keys. No coins are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bags are rings. Some books are rings. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are balls. All rings are bags. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No caps are pens. All pens are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are pens. All pens are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No coins are cups. All keys are cups. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bells are rings. All rings are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are books. Some books are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No shoes are rings. All balls are rings. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are kites. No rings are kites. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are kites. Some balls are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are balls. All toys are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are keys. Some bells are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are caps. All caps are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some coins are cups. All coins are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are keys. All kites are keys. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are toys. Some pens are rings. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No boxes are keys. No keys are kites. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are balls. Some cups are pens. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are coins. All coins are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are bells. No boxes are bells. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No toys are books. No books are shoes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are pens. Some shoes are caps. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some toys are books. All bags are books. Conclusion: No toys 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. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. Yes
  27. No
  28. Yes
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. Yes
  36. Yes
  37. Yes
  38. No
  39. Yes
  40. No

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