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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 179 · 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 shoes are coins. Some books are shoes. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No kites are balls. No kites are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are balls. Some cups are shoes. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are bells. No books are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No caps are books. All pens are books. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are toys. No books are rings. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some caps are pens. Some caps are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bags are coins. All boxes are coins. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are toys. Some books are caps. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are books. All books are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bells are boxes. No boxes are rings. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No keys are kites. Some shoes are kites. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are caps. All toys are caps. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are shoes. All coins are kites. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are keys. All boxes are bells. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are pens. All caps are bells. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are pens. No keys are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are rings. All rings are bells. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some toys are boxes. All rings are boxes. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are books. All books are toys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are bells. Some shoes are bells. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are keys. Some bags are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are bags. No kites are bags. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No kites are shoes. All keys are shoes. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are bags. Some shoes are coins. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are balls. All shoes are balls. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are pens. No keys are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are balls. No balls are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are cups. Some keys are pens. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are balls. All balls are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some cups are toys. Some pens are cups. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are rings. No kites are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are cups. No bells are cups. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are bags. All balls are coins. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are pens. Some cups are pens. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are shoes. All shoes are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are books. All books are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are bags. No shoes are bags. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some keys are boxes. No boxes are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some cups are balls. All boxes are balls. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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