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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 296 · 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 toys are pens. All coins are pens. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are shoes. All boxes are pens. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are bags. Some balls are bags. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are bells. No balls are bells. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are books. No shoes are keys. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are shoes. All pens are bags. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are cups. No books are bags. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are kites. No kites are keys. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are pens. Some rings are pens. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are shoes. All books are coins. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are bags. All caps are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are pens. All bags are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are shoes. Some coins are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are kites. Some cups are boxes. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No shoes are kites. Some bells are kites. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are boxes. All balls are boxes. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bags are pens. All keys are pens. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some cups are pens. All keys are pens. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are bags. No bags are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some boxes are rings. All toys are boxes. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are bags. All books are bells. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are balls. Some balls are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are shoes. All toys are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are books. Some cups are balls. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are boxes. Some rings are caps. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are bags. No bells are bags. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No kites are shoes. No shoes are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are boxes. All balls are boxes. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are books. No books are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are caps. All boxes are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are coins. All coins are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are boxes. No pens are keys. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are pens. All boxes are kites. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are books. All cups are books. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are balls. Some kites are balls. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are boxes. All boxes are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are rings. All cups are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are rings. No cups are coins. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are rings. No boxes are shoes. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are kites. No bags are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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