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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 317 · 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 bells are keys. No bags are bells. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are rings. Some pens are coins. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are bags. Some keys are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are cups. All books are boxes. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No kites are books. All bells are kites. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are pens. All pens are shoes. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are bells. All coins are bells. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are caps. No balls are boxes. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are coins. No pens are bells. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are books. No books are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are rings. No coins are rings. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are balls. Some pens are rings. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are boxes. All books are toys. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are bags. All cups are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are books. Some boxes are bells. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are toys. All cups are rings. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are caps. All keys are boxes. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are keys. All bags are rings. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No boxes are balls. Some balls are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some caps are balls. All balls are shoes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are cups. All cups are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are rings. Some rings are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are kites. All rings are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are caps. Some caps are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some coins are kites. All bells are coins. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are keys. All keys are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are caps. Some shoes are boxes. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are coins. All coins are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some pens are kites. All pens are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are coins. All bags are cups. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are bells. Some caps are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are coins. Some coins are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are keys. Some bells are keys. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are rings. Some bags are shoes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are books. Some kites are coins. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are caps. No bags are caps. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are shoes. Some rings are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are balls. Some pens are rings. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are shoes. All shoes are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are balls. Some coins are books. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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