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Syllogism Worksheet

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

Answer key

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

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