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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 300 · 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 boxes are pens. All pens are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are toys. Some cups are boxes. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are boxes. All cups are boxes. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are pens. Some toys are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are books. All toys are books. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are keys. Some bells are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some caps are toys. All toys are keys. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bags are bells. All bags are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are keys. All keys are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are toys. All shoes are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are kites. No kites are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are rings. No bags are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are pens. All caps are pens. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are coins. No coins are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are caps. All books are keys. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are caps. All books are caps. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are balls. All balls are keys. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are cups. All pens are coins. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are rings. Some rings are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are bells. Some bells are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are toys. No toys are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are keys. No keys are kites. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are cups. Some boxes are cups. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are kites. All kites are rings. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are kites. Some cups are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are boxes. No books are boxes. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are bags. All bags are books. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are books. Some caps are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are books. Some shoes are books. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are rings. Some pens are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some coins are bags. No balls are bags. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are toys. Some pens are toys. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are balls. All cups are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are pens. All pens are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are books. Some bags are toys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are books. All books are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are kites. Some books are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are boxes. Some coins are boxes. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are caps. No caps are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are boxes. All toys are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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