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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 111 · 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 bags are cups. All books are bags. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are rings. All rings are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are bells. Some bells are cups. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are books. All rings are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are bags. No pens are bags. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some pens are bells. No bells are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are bags. No pens are bags. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are balls. No boxes are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are coins. Some kites are coins. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are bags. Some bags are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are coins. No balls are shoes. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are cups. No caps are cups. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are bags. All bags are kites. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are pens. All bells are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are bags. No bags are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are balls. No kites are balls. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are kites. All kites are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are bags. No bags are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are coins. All coins are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are toys. Some balls are cups. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are books. Some books are kites. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are pens. All keys are shoes. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are shoes. Some rings are shoes. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are shoes. All rings are books. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are books. No pens are books. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are caps. No boxes are caps. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are pens. Some pens are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are coins. No coins are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bags are keys. No toys are bags. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are rings. No kites are balls. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are caps. All bags are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are caps. Some balls are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are pens. All toys are pens. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are shoes. Some coins are boxes. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are bells. All balls are bells. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are kites. No bags are books. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are cups. Some boxes are cups. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are rings. No pens are bags. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are pens. No bells are pens. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are rings. Some rings are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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