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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 110 · 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 cups are boxes. No boxes are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are kites. All kites are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are toys. No shoes are toys. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are pens. Some toys are bags. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are caps. All caps are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are bags. No bags are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are keys. All coins are kites. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are keys. All boxes are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are bags. No bags are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are kites. Some cups are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are caps. All coins are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are kites. Some kites are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No keys are bells. All rings are keys. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are keys. No keys are pens. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are cups. All cups are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bells are shoes. All bells are kites. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are toys. All pens are toys. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are keys. No rings are cups. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are books. Some cups are kites. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are coins. All caps are coins. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are bells. Some bells are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are rings. All bags are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are toys. Some toys are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are toys. Some toys are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are bags. All kites are bags. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are boxes. No books are balls. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are rings. All books are coins. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are cups. All toys are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are books. All books are caps. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are pens. All pens are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are bells. Some pens are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are rings. No cups are rings. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All balls are bags. All bags are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No boxes are coins. All keys are boxes. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are boxes. No cups are coins. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are cups. No pens are coins. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are cups. Some pens are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No toys are kites. All toys are pens. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are toys. All coins are kites. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are coins. All coins are boxes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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