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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 146 · 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 books are kites. Some bells are kites. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some boxes are coins. Some boxes are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bells are kites. Some bells are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are bags. Some bags are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are shoes. No coins are shoes. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are kites. Some bells are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some caps are coins. All caps are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are pens. No boxes are pens. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are coins. All books are coins. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are boxes. All cups are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are keys. Some cups are pens. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some cups are bags. No cups are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No balls are shoes. All pens are shoes. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are balls. No coins are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No shoes are books. All pens are books. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are coins. All balls are rings. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some pens are kites. No shoes are pens. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are balls. No keys are shoes. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bags. No bags are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are caps. All caps are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some keys are kites. Some pens are kites. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are boxes. No keys are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are boxes. No boxes are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are kites. All kites are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are kites. All toys are pens. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are boxes. All boxes are coins. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are shoes. All bells are rings. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are caps. No caps are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are boxes. All kites are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are kites. All kites are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some boxes are books. All shoes are boxes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are coins. All coins are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are kites. No toys are kites. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are caps. No shoes are bags. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are pens. No rings are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are keys. All keys are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are bags. No balls are rings. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are caps. All keys are caps. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are keys. Some bags are boxes. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are balls. Some balls are rings. Conclusion: All bags 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. No
  6. No
  7. Yes
  8. No
  9. Yes
  10. No
  11. Yes
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. Yes
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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