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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 341 · 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: All boxes are keys. Some balls are boxes. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are caps. Some caps are pens. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are pens. No keys are bags. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are boxes. All rings are books. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are bells. Some pens are bells. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are cups. Some keys are coins. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are keys. No keys are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are boxes. No boxes are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No balls are bells. No caps are balls. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are keys. No toys are pens. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are balls. No pens are coins. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are coins. No toys are coins. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are kites. Some shoes are bells. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are kites. All pens are bells. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No toys are kites. All rings are kites. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are bags. Some balls are cups. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are kites. All cups are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are cups. All cups are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are boxes. No books are boxes. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are rings. No toys are books. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are coins. All coins are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are bags. All bags are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are toys. No toys are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are kites. No kites are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are toys. All cups are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are caps. No caps are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some caps are toys. All toys are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are bags. All bells are coins. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No cups are keys. All coins are cups. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are boxes. All books are toys. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are shoes. No bags are balls. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are bells. No boxes are bells. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are shoes. All shoes are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are shoes. Some balls are shoes. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No kites are keys. All kites are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are bells. No bells are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are books. All books are toys. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are toys. Some toys are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are caps. Some toys are kites. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are pens. All boxes are rings. Conclusion: All rings are pens. 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. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. Yes
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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