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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 209 · 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 rings are keys. Some toys are rings. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are shoes. All rings are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are bells. Some bells are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are kites. No coins are kites. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are keys. No rings are keys. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are pens. Some books are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are cups. Some rings are keys. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are bags. All bags are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are books. No books are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are pens. All pens are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are boxes. No boxes are balls. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are pens. Some kites are cups. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are shoes. All books are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some toys are balls. No balls are caps. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are books. Some balls are books. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are caps. All caps are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are toys. Some balls are toys. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No balls are bells. No bells are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are cups. No pens are cups. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are bags. Some cups are bags. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No kites are coins. All keys are kites. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are toys. Some cups are toys. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are toys. All toys are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All coins are boxes. No coins are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are books. No bags are books. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are caps. Some boxes are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are pens. All kites are rings. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are books. All books are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are boxes. Some bells are coins. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are toys. No toys are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are books. All boxes are books. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No caps are toys. All cups are toys. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are cups. No kites are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are books. All toys are kites. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are bags. Some bags are toys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. All caps are balls. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are coins. No boxes are caps. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some balls are cups. No pens are balls. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are books. All books are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are cups. No balls are cups. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. No
  4. Yes
  5. No
  6. No
  7. No
  8. Yes
  9. Yes
  10. Yes
  11. Yes
  12. No
  13. Yes
  14. No
  15. No
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. Yes
  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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