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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 241 · 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 kites are coins. No kites are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are keys. Some shoes are keys. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bells are coins. All bags are bells. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are coins. All caps are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are kites. All kites are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some pens are keys. No pens are kites. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are balls. All balls are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are toys. Some balls are toys. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are pens. Some toys are pens. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are toys. All books are toys. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are keys. All toys are books. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are bags. All bags are caps. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are cups. No balls are cups. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are pens. No pens are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are bags. All bags are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No toys are boxes. No toys are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are books. All bells are rings. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are books. No bags are toys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some toys are balls. Some balls are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are rings. No kites are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some boxes are balls. No boxes are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are books. No rings are books. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are bags. No bags are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are rings. Some balls are cups. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are cups. No bells are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are cups. No kites are bells. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No kites are keys. All keys are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are shoes. All shoes are rings. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are caps. No caps are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are coins. All coins are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are bags. No bags are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are shoes. All bags are books. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No balls are cups. All balls are keys. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are bags. All toys are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No coins are keys. No keys are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are bells. All bells are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are boxes. No boxes are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are cups. Some boxes are cups. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are shoes. No caps are shoes. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are cups. No books are bells. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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