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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 309 · 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 caps are kites. Some bags are caps. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are rings. Some boxes are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some rings are pens. No kites are pens. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are boxes. All boxes are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are pens. Some coins are balls. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No kites are pens. All pens are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are bells. No cups are bells. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some rings are caps. No bells are caps. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are coins. All cups are coins. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are kites. Some kites are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No boxes are bags. Some boxes are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are bells. No books are bells. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are shoes. All keys are shoes. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are rings. No caps are rings. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are coins. Some toys are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are rings. No rings are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are coins. No boxes are coins. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are caps. Some caps are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No keys are boxes. All pens are keys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are bells. No keys are bells. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are balls. All balls are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are shoes. No caps are pens. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are cups. All toys are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are cups. All shoes are rings. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are bells. Some bells are books. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are bells. No rings are caps. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some cups are bags. All shoes are bags. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All rings are caps. All caps are boxes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are toys. All shoes are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are cups. Some rings are toys. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are kites. All kites are shoes. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are books. No books are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are keys. No coins are bags. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are rings. Some bags are books. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are caps. All caps are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are kites. No kites are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are bells. Some boxes are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are shoes. All bells are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are toys. All balls are toys. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are coins. No coins are pens. Conclusion: Some boxes are pens. 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. Yes
  10. No
  11. No
  12. No
  13. No
  14. Yes
  15. No
  16. Yes
  17. No
  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. Yes
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. No
  39. No
  40. No

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