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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 52 · 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 kites are keys. No keys are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are toys. All pens are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are coins. All boxes are books. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are caps. Some books are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are boxes. All boxes are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are balls. All balls are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are cups. Some cups are shoes. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are rings. All pens are rings. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are toys. No coins are toys. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are kites. All coins are kites. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are balls. Some keys are balls. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some coins are pens. All rings are pens. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are pens. All bells are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are balls. All balls are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are keys. Some keys are coins. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are boxes. No cups are boxes. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are bags. Some bags are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are balls. No balls are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are kites. All rings are balls. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are bags. No bags are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are kites. All bells are boxes. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are kites. All coins are boxes. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are pens. All books are bags. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are balls. All balls are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bags. No bags are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are bags. All cups are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are balls. All pens are balls. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are books. No rings are books. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are bags. All pens are toys. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are bags. Some pens are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are bags. Some bags are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are caps. No coins are kites. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are books. No kites are books. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No keys are balls. No keys are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are books. No cups are bags. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are bags. All rings are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are cups. All cups are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are keys. All coins are keys. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are toys. No toys are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are keys. Some toys are pens. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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