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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 237 · 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 pens are cups. No cups are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are shoes. No books are shoes. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are boxes. All shoes are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are bells. All books are balls. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are caps. Some keys are boxes. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are toys. All rings are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are rings. Some keys are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are coins. All rings are coins. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are pens. Some books are pens. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are shoes. All bells are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are rings. All rings are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No cups are balls. Some shoes are balls. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are keys. All toys are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are kites. No coins are kites. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are bells. Some cups are caps. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are toys. All shoes are toys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are cups. Some cups are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are rings. No coins are bells. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bags. No cups are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are boxes. Some boxes are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No balls are books. Some balls are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are pens. Some bells are pens. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are kites. No kites are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are shoes. No shoes are balls. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are boxes. All bags are balls. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are toys. All toys are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are keys. Some pens are toys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are pens. All kites are pens. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are toys. All toys are cups. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are bags. Some bags are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some caps are toys. All toys are balls. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some cups are boxes. All boxes are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are keys. Some boxes are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are kites. All bags are cups. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are bags. All cups are bags. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are bags. No boxes are bells. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are coins. All coins are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are boxes. Some caps are bags. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are kites. Some shoes are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are balls. No keys are balls. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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