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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 96 · 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 bells are bags. All books are bells. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are pens. All bells are pens. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are bells. All bells are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are rings. All kites are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are books. All bags are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are balls. All pens are cups. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are toys. No toys are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are bells. All rings are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are books. Some books are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are pens. Some keys are boxes. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are kites. All cups are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are cups. All rings are kites. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are coins. No coins are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bells are coins. All cups are bells. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are boxes. Some boxes are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are books. Some books are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are pens. Some boxes are toys. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some balls are bells. All bells are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are keys. 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 cups are pens. All toys are pens. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are books. Some bags are coins. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are keys. Some boxes are keys. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are pens. No pens are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All coins are keys. Some coins are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are bells. All boxes are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are toys. Some pens are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No coins are cups. All cups are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are rings. No rings are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are coins. All bags are shoes. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are bags. No caps are shoes. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are toys. No toys are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are boxes. All cups are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are coins. Some books are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are caps. All caps are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are books. Some books are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are coins. All boxes are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are keys. All boxes are keys. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are toys. All caps are bags. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are keys. All rings are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are pens. No pens are coins. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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