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Syllogism Worksheet

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

Answer key

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

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