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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 327 · 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 rings. All bags are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are cups. Some balls are cups. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are cups. No books are cups. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No boxes are bells. All toys are boxes. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are toys. All pens are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are boxes. All cups are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are cups. Some kites are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are shoes. Some bags are boxes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are bags. No coins are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No coins are bells. Some bells are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are books. All books are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are toys. All kites are bags. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are books. Some bags are kites. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are boxes. All boxes are books. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are kites. All kites are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are kites. All bags are shoes. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are caps. All boxes are caps. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are bags. No kites are bells. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are books. No coins are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No coins are books. No books are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are caps. No caps are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are keys. No caps are keys. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are bags. All coins are toys. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are boxes. No bells are bags. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are books. No books are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No boxes are keys. Some coins are boxes. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are caps. All toys are boxes. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are pens. Some caps are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are balls. No balls are kites. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No toys are balls. No toys are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are coins. No shoes are coins. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are books. No books are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are toys. All toys are caps. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some coins are cups. All cups are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are toys. Some coins are toys. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are boxes. Some balls are boxes. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are kites. No caps are kites. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are pens. Some shoes are pens. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are balls. All toys are pens. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No coins are shoes. All coins are toys. Conclusion: No shoes are toys. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. No
  14. Yes
  15. Yes
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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