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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 216 · 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 bags are keys. No rings are keys. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are bells. All bags are shoes. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are coins. Some caps are bags. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some cups are bells. All rings are cups. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are boxes. No books are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some kites are books. No books are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are keys. Some keys are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are bags. No bags are books. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are caps. Some caps are bags. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are toys. Some rings are toys. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are keys. Some balls are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are bags. Some shoes are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are toys. No cups are books. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are coins. No coins are kites. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are kites. No kites are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some kites are pens. All pens are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are keys. All keys are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are caps. Some caps are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are cups. Some toys are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are pens. Some boxes are cups. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are boxes. Some caps are shoes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No kites are shoes. All boxes are shoes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are bags. Some bags are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are coins. All kites are coins. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are bells. No bells are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No books are boxes. No boxes are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are cups. No pens are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are coins. All rings are pens. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are keys. No keys are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are rings. All rings are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No pens are cups. No keys are cups. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some toys are rings. All cups are rings. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are pens. No kites are pens. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some caps are bells. Some bells are cups. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are pens. Some books are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are keys. Some toys are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are coins. All toys are bags. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are pens. No pens are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No keys are rings. Some coins are keys. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are books. No books are coins. Conclusion: All shoes are coins. 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. Yes
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. No

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