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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 312 · 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 pens are coins. Some boxes are pens. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are books. All shoes are books. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are cups. No boxes are bags. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are boxes. All coins are pens. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are coins. Some coins are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are balls. All balls are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are books. All cups are pens. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are cups. Some kites are caps. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are keys. No bells are keys. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are balls. No balls are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are bells. Some balls are coins. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are toys. No rings are keys. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are boxes. Some keys are boxes. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are boxes. All rings are pens. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are cups. All bags are bells. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are books. No bags are keys. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are pens. No bags are pens. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are shoes. No shoes are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are bags. No keys are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are bells. No bells are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are pens. All balls are pens. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are caps. All cups are caps. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are kites. No kites are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are cups. Some toys are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are boxes. All coins are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are toys. All books are balls. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are cups. No bells are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are coins. No kites are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are keys. All keys are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are books. No balls are books. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are coins. All pens are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some cups are keys. Some keys are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are caps. All pens are keys. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are coins. All bags are coins. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are keys. All rings are keys. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are kites. All kites are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are pens. Some cups are pens. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are cups. No balls are coins. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are kites. Some pens are bags. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are books. No caps are books. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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