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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 306 · 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: Some bags are cups. No toys are bags. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No kites are bags. All coins are kites. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are shoes. All keys are shoes. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are pens. All pens are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are kites. All cups are kites. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are bells. Some caps are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are caps. All caps are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are bags. Some coins are bags. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are coins. Some coins are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No books are bags. No bags are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are coins. No boxes are coins. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are rings. No pens are rings. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are caps. All toys are cups. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are caps. All caps are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are cups. No cups are bells. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are boxes. All balls are boxes. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are keys. Some rings are coins. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are bags. No bags are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are bells. All bells are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are books. No books are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No rings are bags. No balls are rings. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are cups. All pens are keys. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are keys. All rings are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are keys. All keys are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are coins. No coins are keys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are cups. No pens are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are toys. No balls are shoes. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are bags. No bags are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are books. No books are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are bells. All bags are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are pens. All bells are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are toys. Some cups are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are cups. All balls are cups. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are cups. All coins are kites. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are pens. Some boxes are toys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are bells. All bells are boxes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are boxes. Some cups are boxes. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are cups. No cups are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are cups. All boxes are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are bags. All bags are bells. Conclusion: All pens 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. Yes
  6. Yes
  7. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. Yes
  15. Yes
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. Yes
  24. Yes
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. Yes
  31. Yes
  32. Yes
  33. No
  34. Yes
  35. Yes
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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