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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 141 · 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 shoes are rings. Some bags are shoes. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are rings. All rings are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some cups are caps. All caps are coins. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are pens. All kites are coins. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are coins. Some caps are rings. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are kites. No kites are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are keys. All books are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are shoes. All shoes are rings. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are keys. No keys are kites. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are caps. All coins are caps. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are bags. No cups are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are balls. All toys are caps. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are pens. Some cups are books. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are bags. No keys are bags. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bags are books. No books are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are kites. All kites are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are boxes. All boxes are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are boxes. Some coins are boxes. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are coins. All coins are pens. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are bags. Some balls are caps. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are books. No balls are books. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some coins are toys. Some coins are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are bells. Some bags are books. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are keys. All keys are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are rings. No rings are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are books. All kites are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are keys. All keys are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some kites are cups. All kites are boxes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are shoes. Some boxes are shoes. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are coins. Some caps are cups. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are bags. Some pens are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some cups are books. All cups are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are toys. Some kites are books. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bells are cups. Some bells are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are toys. All toys are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bags are balls. All balls are bells. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are kites. All kites are caps. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are caps. No caps are kites. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are shoes. All balls are bells. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are books. All books are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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