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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 322 · 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 bells are rings. Some books are bells. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are toys. All caps are rings. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are caps. Some keys are caps. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are boxes. All bags are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No pens are books. No books are shoes. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No keys are boxes. Some keys are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are toys. All shoes are balls. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are books. No cups are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are bags. Some boxes are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are keys. No shoes are keys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are caps. No toys are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are rings. All bags are rings. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are bags. All kites are bags. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are toys. Some boxes are coins. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No boxes are rings. All shoes are boxes. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are caps. Some caps are rings. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are boxes. Some books are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are bags. All boxes are bags. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are balls. All cups are bags. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are boxes. Some rings are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are bags. No bags are boxes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are toys. No rings are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are shoes. All bells are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are shoes. All caps are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are books. Some rings are cups. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No books are pens. Some keys are books. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are coins. All books are balls. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No keys are boxes. All bags are keys. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are pens. No toys are caps. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are books. Some books are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are books. Some cups are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are shoes. All shoes are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are balls. Some balls are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are coins. Some keys are kites. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are cups. All keys are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No shoes are caps. All cups are shoes. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are rings. Some coins are boxes. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are cups. No keys are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are bags. Some bags are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are kites. All coins are boxes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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