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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 167 · 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 kites are boxes. No kites are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are rings. All rings are coins. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are books. Some rings are cups. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are shoes. Some bells are shoes. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are coins. No caps are coins. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are kites. Some kites are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are coins. All coins are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are bells. No pens are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No balls are shoes. No shoes are rings. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are books. Some toys are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are books. Some cups are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are pens. All bells are pens. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are bags. No boxes are bags. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are toys. All bags are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are books. All shoes are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are bells. All cups are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are coins. All books are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some cups are pens. Some cups are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are rings. No books are rings. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are bags. All coins are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are toys. All caps are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are cups. Some cups are kites. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are cups. No keys are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are bells. All boxes are pens. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All cups are coins. All books are cups. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are bags. All keys are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are rings. All bags are rings. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are cups. All boxes are caps. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are balls. All caps are balls. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are keys. All pens are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are bells. Some coins are toys. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are caps. No caps are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are boxes. No cups are boxes. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are books. All coins are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are boxes. All shoes are boxes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are books. All toys are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are caps. No balls are kites. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are keys. No keys are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are toys. All toys are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No keys are bags. No coins are bags. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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