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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 298 · 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. All shoes are boxes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are bags. All bags are rings. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are toys. All toys are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bells are books. No balls are bells. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are books. Some boxes are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are kites. All shoes are kites. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are toys. Some bells are books. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some rings are keys. All rings are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are bags. All bags are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are coins. Some toys are shoes. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are bags. All rings are bags. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are bells. All coins are pens. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are caps. All books are caps. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are bags. No cups are bags. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are keys. All boxes are keys. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are keys. No keys are rings. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are coins. Some toys are coins. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are rings. No coins are books. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are books. All caps are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are pens. All bells are balls. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are pens. No shoes are pens. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are caps. All caps are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are bags. Some toys are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are caps. Some shoes are boxes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are pens. All boxes are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are boxes. All kites are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are keys. No coins are keys. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are caps. All caps are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No coins are pens. All toys are coins. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are bags. All kites are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are rings. Some bags are rings. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are caps. All caps are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are coins. Some bells are bags. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are pens. All toys are pens. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are keys. All books are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are coins. Some pens are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are toys. All balls are toys. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are bells. No books are bags. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are bells. No bells are kites. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No keys are coins. All toys are keys. Conclusion: Some coins are toys. 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. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. Yes
  21. No
  22. Yes
  23. Yes
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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