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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 324 · 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 coins are boxes. No coins are keys. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are books. Some books are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are bells. All bags are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are bags. No boxes are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are caps. Some kites are caps. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are toys. All toys are bags. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are balls. Some balls are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are books. No books are boxes. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some toys are rings. Some rings are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are books. All kites are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are boxes. Some pens are books. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No keys are rings. No keys are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are bags. No toys are bags. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are cups. No cups are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are shoes. No balls are shoes. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are balls. All rings are balls. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are pens. No kites are pens. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are bags. No boxes are kites. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are boxes. All books are boxes. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some rings are books. Some caps are books. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No rings are bags. All bags are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are boxes. All boxes are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are caps. All caps are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bells are keys. Some bells are coins. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are keys. Some keys are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are cups. No bags are cups. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are bells. All pens are bells. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are bells. Some keys are books. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are pens. All toys are pens. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are kites. No caps are kites. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are toys. No keys are rings. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are boxes. No cups are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are kites. All shoes are bags. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are rings. No rings are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are pens. All pens are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are books. All shoes are caps. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are cups. All pens are cups. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are rings. Some shoes are rings. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are books. Some books are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are shoes. Some rings are boxes. Conclusion: No shoes are rings. 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. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. Yes
  17. Yes
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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