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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 287 · 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: No pens are boxes. All books are pens. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are shoes. All caps are bells. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are coins. All balls are rings. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are keys. No keys are bells. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are bags. All keys are bags. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are kites. No balls are books. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are balls. All balls are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are cups. All bags are cups. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No caps are coins. No coins are boxes. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No balls are bags. All keys are bags. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are coins. All balls are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are rings. All rings are cups. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are kites. All pens are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are coins. All kites are coins. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are toys. All kites are pens. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are shoes. No bags are caps. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are balls. No cups are balls. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are bags. No caps are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are shoes. All shoes are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are balls. All balls are boxes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are books. All kites are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are bags. All bells are bags. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are coins. Some coins are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are bells. All bells are toys. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are balls. No balls are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are shoes. Some shoes are rings. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are bags. No cups are pens. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are bags. Some coins are shoes. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are bells. All bells are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are bags. All cups are bags. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are cups. All books are bags. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are caps. Some pens are caps. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are boxes. All kites are keys. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some coins are toys. No boxes are coins. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are toys. No toys are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are pens. Some balls are books. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are shoes. Some pens are bags. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are bells. Some bags are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some pens are bags. All pens are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are balls. All shoes are balls. Conclusion: All shoes are caps. 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. Yes
  12. No
  13. No
  14. Yes
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. No
  38. Yes
  39. No
  40. No

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