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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 151 · 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 caps are books. Some kites are books. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are kites. All coins are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are shoes. All books are shoes. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are caps. Some bells are balls. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are boxes. No bells are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are toys. All rings are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are balls. No bells are balls. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are pens. All caps are pens. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are cups. Some shoes are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are coins. All boxes are coins. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are balls. All boxes are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are keys. All bags are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are bags. All coins are bells. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some toys are boxes. No cups are toys. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are books. Some bells are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are books. All books are bags. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bells are shoes. Some shoes are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are bags. No balls are bags. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are bags. Some bags are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some rings are kites. No rings are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are rings. Some cups are caps. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are pens. No keys are cups. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are rings. No rings are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are shoes. All toys are shoes. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are boxes. All kites are bags. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are cups. All boxes are balls. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are toys. All rings are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are toys. Some pens are toys. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are bells. Some coins are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are bells. Some bags are bells. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are balls. No bags are balls. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No caps are bells. All pens are caps. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are books. No books are toys. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are bags. All bags are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are toys. All kites are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are shoes. All bags are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are boxes. Some boxes are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are cups. Some bags are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some pens are balls. All pens are rings. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are kites. Some toys are bags. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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