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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 187 · 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 shoes are pens. No pens are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are books. All keys are books. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are balls. All rings are bags. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are books. No books are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No toys are pens. All bags are pens. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are keys. Some keys are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are coins. All bags are coins. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are boxes. No bells are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are coins. All rings are cups. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are books. Some books are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are rings. All rings are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are keys. No shoes are keys. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are toys. All kites are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are caps. No caps are coins. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are kites. All rings are bells. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are pens. No balls are pens. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are bags. No bags are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are bags. All toys are kites. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are coins. All coins are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are caps. All balls are caps. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are bags. Some balls are bags. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No balls are books. Some pens are books. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are bells. All bells are kites. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are toys. No bells are toys. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are kites. No balls are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are balls. Some coins are pens. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some keys are kites. All keys are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are shoes. No bags are shoes. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No shoes are books. All pens are books. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are caps. All balls are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are shoes. No shoes are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are books. Some rings are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some cups are keys. All keys are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are bags. All cups are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All coins are toys. Some shoes are coins. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are toys. No books are toys. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are books. All bags are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are bags. All toys are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No books are kites. All books are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are pens. All pens are boxes. Conclusion: No boxes 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. Yes
  6. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. Yes
  35. Yes
  36. No
  37. No
  38. Yes
  39. No
  40. No

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