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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 336 · 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 balls are books. All books are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are pens. All rings are cups. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are kites. No kites are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are boxes. All shoes are kites. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are kites. All cups are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are balls. All books are rings. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are pens. All books are caps. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are books. Some bags are books. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are caps. All caps are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are kites. Some kites are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are keys. No keys are shoes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are boxes. Some boxes are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are shoes. Some kites are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are keys. No keys are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are balls. All balls are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are pens. All bags are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are pens. All keys are caps. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are pens. No boxes are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are keys. All shoes are cups. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are bags. Some bags are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are caps. No kites are bags. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are kites. All toys are kites. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are bags. No bells are bags. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are toys. No toys are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are cups. No cups are rings. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are bags. All toys are bags. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are books. Some books are keys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are books. All shoes are books. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are pens. All pens are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are kites. All boxes are kites. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are rings. All shoes are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No balls are pens. All balls are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are pens. No caps are pens. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are toys. No toys are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are bags. No bags are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are boxes. All boxes are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are cups. Some balls are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are bells. All bells are kites. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some keys are cups. All coins are keys. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are shoes. All balls are books. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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