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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 344 · 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 keys are coins. Some keys are cups. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are rings. All rings are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are bells. All bags are bells. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are caps. Some cups are shoes. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are shoes. All caps are balls. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are bags. All boxes are bells. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are coins. All shoes are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are coins. No shoes are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are coins. Some caps are cups. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are pens. All cups are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are boxes. All keys are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are rings. All rings are balls. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are boxes. All boxes are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are boxes. Some kites are pens. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are shoes. All bells are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some coins are kites. Some coins are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are pens. No shoes are pens. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are shoes. Some caps are bells. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are rings. All boxes are bags. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are toys. All books are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are caps. All keys are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are boxes. All boxes are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are keys. Some bells are keys. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are kites. Some kites are cups. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are bags. No balls are boxes. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are coins. All coins are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are caps. All boxes are books. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are shoes. All pens are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are books. All rings are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are caps. All pens are shoes. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are bags. No keys are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are balls. Some balls are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are toys. Some toys are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are bags. All cups are boxes. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are books. All books are caps. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are toys. No toys are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are keys. Some kites are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are books. All bells are shoes. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are rings. No balls are coins. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are kites. All boxes are keys. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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