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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 73 · 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 keys are balls. All keys are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are pens. No cups are bags. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are coins. No boxes are bags. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are shoes. No caps are bells. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are coins. Some shoes are keys. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are keys. All caps are coins. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are bags. Some balls are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are toys. Some caps are toys. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are boxes. All boxes are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are toys. All books are rings. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are coins. No coins are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are caps. All caps are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are toys. All toys are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All kites are pens. No kites are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No toys are rings. All toys are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are pens. No bells are pens. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are rings. No boxes are rings. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are caps. All caps are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are balls. All balls are caps. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are kites. All kites are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are rings. No bags are pens. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are balls. No coins are balls. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are bells. All cups are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are bells. All pens are cups. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are pens. No boxes are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are toys. No cups are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are coins. All coins are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are caps. Some balls are cups. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No toys are caps. All pens are caps. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are keys. All toys are shoes. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No boxes are kites. All kites are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are kites. Some coins are balls. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are books. All caps are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are caps. No books are caps. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are boxes. No boxes are rings. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are bags. Some shoes are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are books. All pens are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are cups. All shoes are cups. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No keys are coins. All books are keys. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are kites. No kites are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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