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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 113 · 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 books. No coins are books. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are bags. No bags are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are keys. All bags are keys. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are kites. All kites are pens. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are books. All books are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are bags. No coins are rings. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are bags. All bags are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are keys. No bells are keys. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some shoes are keys. All keys are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are shoes. No bags are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are balls. Some caps are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are coins. All boxes are coins. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are rings. All coins are rings. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are shoes. All bags are caps. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are shoes. All books are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are pens. Some cups are boxes. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are bags. Some cups are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are kites. No kites are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bags. Some cups are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are toys. No boxes are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All shoes are books. All caps are books. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are bells. All bells are bags. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are caps. All boxes are caps. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are caps. Some coins are caps. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some coins are toys. No coins are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are cups. No cups are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are cups. All pens are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are bells. No bells are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are bags. All bags are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No boxes are balls. No bells are balls. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are boxes. No kites are boxes. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are caps. Some books are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bells are rings. No rings are balls. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are coins. All coins are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are keys. All keys are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are books. Some cups are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are pens. All pens are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are boxes. All keys are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are rings. All pens are coins. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are cups. Some cups are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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