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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 351 · 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: No caps are pens. Some pens are bells. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are bags. Some bags are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are coins. Some caps are keys. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are coins. Some pens are books. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are balls. All boxes are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are bells. No bells are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are boxes. All boxes are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No shoes are toys. Some toys are caps. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are keys. No keys are cups. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are kites. Some cups are kites. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are books. All keys are toys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are shoes. All shoes are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are keys. No cups are keys. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are bags. No caps are bags. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are shoes. All shoes are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are rings. No rings are shoes. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are bells. All bells are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No rings are cups. All bags are rings. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are pens. All pens are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are pens. No cups are bells. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are books. All shoes are bells. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are rings. All rings are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are coins. All coins are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are cups. No boxes are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are balls. All balls are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are cups. Some cups are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some kites are caps. All caps are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No balls are books. No shoes are books. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bags are rings. Some rings are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are toys. All kites are pens. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are toys. No pens are toys. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some coins are toys. No coins are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are bags. Some keys are books. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are books. No books are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are coins. No shoes are kites. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are rings. No toys are rings. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are cups. No cups are books. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are toys. Some toys are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are cups. All cups are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are bags. All boxes are bags. Conclusion: No boxes are caps. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. Yes

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