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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 347 · 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 toys are boxes. All toys are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are balls. All balls are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are shoes. No bags are shoes. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are bells. All bells are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some cups are books. All coins are cups. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are shoes. No caps are shoes. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No rings are pens. No bells are pens. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are keys. All rings are bags. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are coins. Some bags are coins. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No rings are cups. Some books are cups. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are shoes. All shoes are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No books are kites. All bells are kites. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are books. No books are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are books. Some books are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are toys. All toys are boxes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are balls. All balls are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are pens. No bells are pens. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are books. No shoes are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are kites. No boxes are kites. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are books. Some books are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No toys are coins. No bags are coins. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are toys. No toys are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are keys. All bells are keys. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are shoes. All shoes are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are rings. Some toys are boxes. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are caps. All caps are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are keys. All bags are books. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are cups. Some bells are cups. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are shoes. All shoes are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All coins are cups. All coins are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are caps. No kites are caps. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are shoes. All pens are coins. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are rings. All balls are pens. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are coins. Some balls are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No balls are bells. Some bells are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are shoes. No rings are shoes. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are rings. All rings are kites. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are balls. All cups are balls. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are bags. Some shoes are bags. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are balls. All balls are caps. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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