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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 153 · 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 keys are kites. All keys are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are rings. All bells are rings. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are bags. Some shoes are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are keys. Some coins are keys. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are balls. No cups are boxes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are cups. Some bags are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are pens. Some cups are pens. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are kites. Some toys are caps. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some kites are toys. All toys are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are caps. Some caps are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are bags. No bags are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some balls are bells. All bells are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are toys. No kites are books. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are coins. All kites are pens. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are rings. All rings are books. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are bags. All kites are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are rings. All rings are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some balls are shoes. All shoes are coins. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are shoes. All rings are cups. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some balls are coins. No coins are kites. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are pens. All balls are bags. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are books. All shoes are books. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are books. Some bells are coins. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No coins are cups. Some keys are coins. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are balls. No boxes are toys. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are shoes. All coins are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are rings. All toys are rings. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are keys. All keys are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are rings. All bags are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are books. All coins are books. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are cups. No bells are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are toys. All pens are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are cups. All cups are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are coins. All boxes are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are cups. No cups are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No toys are boxes. All bags are boxes. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are toys. No bags are toys. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some keys are shoes. All shoes are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are cups. All cups are keys. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are caps. All caps are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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