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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 207 · 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 balls are shoes. All shoes are kites. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are cups. No cups are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are bags. Some shoes are toys. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are pens. Some rings are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are coins. All toys are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are books. All kites are books. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are toys. No toys are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are keys. All rings are shoes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are caps. No rings are caps. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are books. Some toys are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are shoes. All pens are keys. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are bells. All books are rings. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are bags. All coins are books. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are bells. No bells are boxes. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No keys are rings. All toys are rings. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are kites. No cups are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are balls. All caps are shoes. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are cups. Some kites are cups. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are shoes. Some keys are bags. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are toys. Some toys are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are cups. All cups are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are keys. Some boxes are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are coins. Some books are coins. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are bells. Some bells are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No rings are boxes. Some boxes are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are boxes. No books are boxes. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are bags. No kites are pens. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are bags. All boxes are caps. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are kites. All cups are kites. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are caps. Some caps are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are kites. All caps are kites. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All pens are coins. Some coins are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are boxes. All bags are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No keys are balls. All books are balls. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are books. All kites are bells. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are coins. No coins are pens. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are boxes. No books are coins. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are bells. No bells are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bags are books. All shoes are bags. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are bags. All boxes are bags. Conclusion: No boxes are pens. 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. No
  8. No
  9. Yes
  10. Yes
  11. No
  12. Yes
  13. No
  14. No
  15. Yes
  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. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. Yes
  36. No
  37. No
  38. Yes
  39. Yes
  40. No

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