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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 402 · 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 caps are books. No caps are keys. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some boxes are cups. No cups are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are caps. All shoes are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are bags. Some pens are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are caps. No caps are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are kites. Some kites are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No cups are books. All books are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are rings. All rings are bells. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are keys. Some bags are books. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. No rings are bells. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some coins are cups. No keys are cups. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are bags. All bags are kites. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are cups. All caps are books. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are kites. All kites are coins. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are keys. All bags are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some shoes are caps. No shoes are books. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are shoes. All shoes are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are rings. All kites are toys. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are kites. All caps are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are cups. All cups are books. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are boxes. No bags are shoes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are shoes. All cups are caps. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are bells. All pens are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No kites are caps. All bags are kites. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some rings are pens. All pens are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are rings. All bells are rings. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are boxes. All cups are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are caps. Some pens are kites. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are coins. No toys are coins. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are boxes. All boxes are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are boxes. No boxes are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some books are keys. All keys are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some keys are pens. Some bags are keys. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are books. No books are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are keys. No shoes are keys. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are pens. No bags are kites. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are bags. Some keys are books. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are toys. All rings are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are keys. All bags are rings. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are coins. No kites are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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