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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 332 · 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: Some caps are keys. No bells are caps. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are cups. No pens are cups. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No balls are shoes. Some balls are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are bells. All caps are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are bags. No bags are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are kites. Some keys are kites. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are coins. Some caps are coins. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are keys. No shoes are keys. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are bags. Some balls are bags. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are pens. Some pens are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are kites. Some toys are books. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are coins. Some coins are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are boxes. All kites are boxes. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are caps. All caps are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are shoes. Some boxes are toys. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are bells. All bags are balls. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are shoes. No books are shoes. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are keys. Some pens are books. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are shoes. All shoes are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are rings. No rings are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are rings. All coins are bags. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are shoes. No rings are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are balls. No kites are balls. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are cups. All toys are balls. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are toys. Some toys are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are boxes. Some boxes are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are rings. All coins are kites. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No keys are bags. No keys are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some balls are boxes. All balls are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are toys. No toys are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are bags. No bags are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are rings. No boxes are books. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are cups. All books are cups. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are balls. All balls are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are kites. All kites are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are pens. Some boxes are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are keys. All boxes are keys. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are keys. All bags are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are rings. No cups are rings. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are caps. No books are kites. Conclusion: Some caps are kites. 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. Yes
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. Yes
  16. No
  17. Yes
  18. No
  19. No
  20. Yes
  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. No
  37. No
  38. No
  39. No
  40. No

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