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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 372 · 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 pens are caps. All caps are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are pens. Some pens are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are cups. All boxes are bags. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are bags. Some bags are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are toys. All balls are cups. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are toys. All toys are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are rings. No bells are toys. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are bags. All boxes are bags. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are caps. Some caps are keys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are caps. Some caps are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are coins. All coins are cups. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No caps are coins. All caps are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are kites. Some bags are cups. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are coins. No books are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are books. Some caps are books. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are toys. All coins are toys. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are coins. Some books are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are coins. Some bags are pens. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are bags. No books are coins. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some coins are balls. Some books are coins. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are books. All cups are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are rings. No keys are bags. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are boxes. All bags are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No boxes are keys. Some keys are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are caps. No boxes are caps. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are keys. Some bells are keys. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some caps are bells. No balls are bells. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are books. No keys are books. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No toys are balls. No balls are cups. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are balls. All caps are cups. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are pens. All coins are pens. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are keys. All boxes are keys. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are pens. Some pens are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are balls. All cups are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are bags. Some pens are bells. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are kites. All keys are kites. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are toys. Some toys are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No coins are bells. Some books are coins. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are kites. All coins are books. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are keys. All keys are shoes. Conclusion: All shoes are books. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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