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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 248 · 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 books are toys. All books are shoes. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No boxes are rings. No books are rings. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are caps. No caps are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are kites. Some books are kites. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are boxes. No balls are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are bags. No boxes are coins. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are books. All balls are shoes. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are bags. Some coins are kites. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are pens. Some bags are cups. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are bags. Some bells are bags. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bells are cups. All cups are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are shoes. All books are shoes. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are shoes. No coins are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are balls. All shoes are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are boxes. Some shoes are bags. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are books. All books are caps. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are bells. No books are bells. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are coins. All coins are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bags. Some keys are shoes. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are rings. All coins are keys. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are balls. All caps are bags. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are boxes. All rings are bells. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some kites are bells. All keys are bells. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No coins are boxes. Some rings are coins. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some keys are books. Some books are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are toys. All bags are toys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are boxes. Some caps are boxes. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are books. All books are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are bags. Some caps are boxes. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bells are coins. All bells are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are cups. Some cups are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are boxes. No bells are boxes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some keys are bells. All bells are cups. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are bags. Some keys are kites. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are keys. No keys are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are boxes. No books are bags. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are cups. All coins are boxes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bells are caps. All caps are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are balls. No rings are bags. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are boxes. No boxes are pens. Conclusion: No keys 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. Yes
  8. Yes
  9. No
  10. No
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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