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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 253 · 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 bags are books. All balls are books. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are books. No books are shoes. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are bags. All boxes are toys. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are keys. No keys are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No kites are bells. All bells are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are keys. Some keys are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are shoes. All cups are shoes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are kites. No bells are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are toys. All toys are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are keys. No books are cups. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are rings. All shoes are rings. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are coins. All bells are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are keys. No keys are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are bags. All boxes are bags. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are kites. No books are rings. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are caps. No pens are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are bells. All keys are bells. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some balls are pens. All boxes are balls. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some toys are coins. Some coins are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are keys. All toys are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are caps. No rings are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are boxes. Some books are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are pens. No toys are boxes. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are kites. Some kites are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are balls. No cups are books. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are boxes. Some cups are boxes. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are cups. No keys are cups. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All rings are cups. All cups are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are toys. Some boxes are toys. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are cups. No cups are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are shoes. Some bells are books. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are boxes. All books are bags. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are boxes. Some coins are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are cups. All bags are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are balls. No keys are balls. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some keys are coins. All coins are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are keys. All balls are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are pens. Some toys are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are kites. No pens are kites. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are shoes. No kites are bags. Conclusion: All shoes are kites. 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. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. Yes
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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