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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 348 · 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 bells are boxes. All balls are bells. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No shoes are pens. No shoes are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some shoes are rings. No rings are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are bells. No bells are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are books. No shoes are books. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are caps. Some bags are books. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are rings. Some rings are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are cups. Some boxes are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are boxes. No shoes are pens. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No pens are keys. All balls are pens. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some coins are balls. All coins are bags. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are bags. No toys are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are toys. All bags are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are pens. All keys are balls. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are bags. No bags are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are kites. No kites are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some pens are books. All caps are books. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are pens. Some pens are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are bags. All bags are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are shoes. Some shoes are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some keys are toys. Some keys are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are boxes. All boxes are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are kites. All shoes are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are pens. All kites are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are bags. All toys are bags. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are rings. All balls are rings. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are caps. Some kites are books. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are cups. Some books are cups. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some keys are shoes. All shoes are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are pens. No cups are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are boxes. No boxes are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are coins. No coins are pens. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some keys are balls. No balls are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bags are coins. Some coins are bells. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are bags. No keys are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are keys. All cups are rings. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are caps. No books are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are shoes. Some shoes are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are balls. All bags are caps. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are books. All books are kites. Conclusion: All caps 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. No
  6. Yes
  7. No
  8. Yes
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. No
  15. No
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. Yes
  23. Yes
  24. Yes
  25. No
  26. No
  27. Yes
  28. No
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. Yes

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