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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 257 · 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 balls. All books are balls. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are toys. All pens are toys. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are pens. All keys are pens. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some keys are cups. No keys are balls. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are caps. All caps are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are cups. All cups are kites. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are coins. All coins are keys. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are bags. All kites are bags. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are books. All boxes are caps. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are cups. Some cups are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are bags. All rings are bags. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are keys. Some balls are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are boxes. Some bells are boxes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are keys. Some books are rings. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are cups. No caps are bells. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are rings. All rings are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are kites. No shoes are kites. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are balls. All caps are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are books. All balls are books. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are rings. No boxes are books. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are toys. All toys are cups. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are pens. All keys are pens. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No pens are shoes. No shoes are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are cups. No boxes are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are cups. Some coins are keys. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are boxes. All coins are boxes. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are kites. No toys are shoes. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are pens. No pens are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are boxes. No balls are boxes. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are coins. All toys are bells. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are pens. Some pens are kites. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some rings are cups. Some books are rings. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are toys. Some caps are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are books. All books are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are bags. Some balls are books. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No coins are boxes. All toys are coins. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are bells. All bells are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some keys are caps. Some caps are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are toys. All toys are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are keys. Some pens are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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