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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 217 · 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 coins are kites. All kites are books. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are pens. All rings are toys. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are pens. No pens are balls. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are bags. No books are coins. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are toys. All pens are rings. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are pens. All bells are boxes. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are cups. All cups are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are rings. All rings are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are bags. No pens are coins. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are kites. Some caps are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are kites. All rings are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No keys are toys. All keys are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are kites. All bells are cups. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No caps are pens. Some toys are caps. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are boxes. Some shoes are books. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are caps. All keys are coins. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are balls. All balls are kites. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are boxes. Some balls are cups. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are books. No books are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some kites are caps. Some books are kites. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some toys are pens. All pens are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are kites. All caps are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are books. Some pens are books. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some keys are balls. No balls are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are boxes. All boxes are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are caps. All caps are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are keys. Some books are boxes. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No caps are boxes. Some caps are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are keys. No bells are keys. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are boxes. All shoes are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are shoes. No shoes are cups. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are rings. Some rings are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are balls. Some shoes are balls. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are balls. Some balls are shoes. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are pens. All shoes are balls. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are rings. No books are pens. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are keys. No keys are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are bells. No bells are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are keys. No boxes are keys. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No balls are books. All balls are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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