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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 316 · 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 cups are pens. All cups are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are toys. Some bags are caps. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are toys. All boxes are toys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are bags. Some rings are bags. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are books. Some rings are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are shoes. Some shoes are keys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are boxes. All cups are toys. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are caps. All bags are caps. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are bags. Some caps are bags. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are boxes. All books are boxes. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some books are toys. All toys are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are keys. No keys are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are balls. Some keys are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are books. Some coins are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No shoes are keys. No shoes are kites. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are balls. Some bags are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are pens. Some books are shoes. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are caps. All coins are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are books. No boxes are books. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are pens. All pens are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are keys. No rings are keys. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are bags. All keys are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No books are balls. No keys are balls. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are coins. Some balls are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are coins. Some boxes are coins. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are cups. No bells are cups. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are pens. No pens are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All rings are cups. No cups are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are books. Some boxes are caps. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are kites. All cups are books. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are shoes. Some balls are shoes. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are kites. Some rings are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are cups. Some bags are cups. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are toys. All caps are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are pens. All balls are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are rings. All balls are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are shoes. All caps are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are coins. No balls are coins. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are pens. All pens are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are coins. No bags are coins. Conclusion: No bags are bells. 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. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. Yes
  19. No
  20. Yes
  21. No
  22. Yes
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. Yes
  39. Yes
  40. Yes

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