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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 403 · 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: Some kites are pens. Some kites are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are caps. All toys are boxes. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are pens. All pens are boxes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are cups. All toys are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No toys are bags. Some bags are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are cups. Some coins are cups. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are kites. All balls are boxes. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are rings. Some caps are books. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are kites. Some kites are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are keys. All keys are boxes. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are books. Some shoes are books. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are rings. All bags are coins. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are bags. All bags are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are shoes. Some bells are cups. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are rings. All rings are bells. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are toys. No cups are toys. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are balls. All bells are rings. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bells are caps. All caps are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are rings. Some boxes are keys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are keys. All keys are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are pens. No pens are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are caps. All rings are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are kites. All caps are bags. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bells. All bells are boxes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are rings. Some caps are rings. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bells are coins. All bells are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are cups. Some caps are cups. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are cups. All coins are toys. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are shoes. No books are rings. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are bags. No books are kites. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are balls. All balls are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No balls are bells. No caps are balls. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are shoes. Some bells are kites. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bells are balls. All bells are rings. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some caps are bells. All rings are bells. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are caps. Some coins are boxes. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are coins. Some boxes are books. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are kites. All kites are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are balls. No bags are balls. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are rings. Some cups are pens. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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