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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 377 · 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 books are shoes. No boxes are shoes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are bags. Some rings are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are bags. All boxes are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are rings. All rings are boxes. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are toys. All balls are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are toys. Some boxes are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are bags. No bags are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are kites. All kites are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are cups. Some cups are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are bags. All bags are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are boxes. No shoes are boxes. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are bells. Some bells are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are cups. No caps are bags. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are toys. All rings are toys. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are toys. Some cups are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are cups. No cups are balls. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are cups. All cups are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are bells. All bells are keys. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are pens. No coins are pens. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are bags. All coins are bags. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are keys. Some rings are toys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are books. All books are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are rings. All bags are toys. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bags. Some bells are bags. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are bags. Some boxes are bags. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are shoes. No shoes are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are coins. All coins are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are books. All balls are cups. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some keys are rings. Some shoes are keys. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are bags. All bags are boxes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are boxes. Some kites are coins. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some rings are caps. No rings are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are coins. All coins are kites. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are boxes. No balls are boxes. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are cups. No cups are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are books. Some books are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are balls. No coins are boxes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are balls. No rings are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are books. All bells are cups. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are kites. All bells are coins. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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