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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 374 · 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 caps are kites. No kites are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are shoes. No shoes are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are pens. Some rings are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are caps. All coins are books. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are bells. No bags are books. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are balls. All keys are balls. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are shoes. All boxes are shoes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are rings. Some bells are bags. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are caps. All books are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are toys. All pens are keys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are kites. Some kites are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are bags. Some books are bags. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are books. No pens are books. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are caps. Some caps are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some keys are caps. All caps are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are shoes. No shoes are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are bags. All caps are bags. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are toys. Some boxes are toys. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are shoes. No pens are shoes. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are bags. Some bags are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No rings are balls. All cups are balls. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are shoes. All cups are toys. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are books. All pens are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are pens. All keys are toys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are bags. Some balls are caps. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are boxes. All balls are toys. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are books. No cups are books. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are rings. All rings are cups. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are books. No books are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are balls. All pens are balls. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are caps. All caps are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are books. No toys are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are caps. All books are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are books. Some pens are books. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are bags. All bags are shoes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are kites. All bells are kites. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are bells. All cups are balls. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are kites. No kites are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are caps. All caps are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are pens. No pens are rings. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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