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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 75 · 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 kites are toys. No bells are kites. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are cups. All books are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are kites. No balls are kites. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are balls. All balls are boxes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are coins. Some balls are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bags are pens. Some bags are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are bags. No rings are bags. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are shoes. Some rings are keys. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are kites. All books are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are coins. Some shoes are coins. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No rings are books. Some books are boxes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are toys. Some coins are toys. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are rings. Some caps are toys. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No rings are toys. All caps are rings. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are coins. All cups are caps. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are bags. All cups are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are cups. All cups are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are balls. Some books are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are coins. Some keys are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bells are books. All bells are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are toys. No shoes are books. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are bells. Some coins are pens. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are kites. All coins are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are pens. No pens are caps. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are boxes. All boxes are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are kites. Some boxes are kites. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are balls. All books are shoes. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are keys. Some kites are keys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some balls are boxes. Some cups are balls. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are balls. Some boxes are caps. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No caps are bells. Some bells are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are shoes. Some toys are bags. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are balls. No books are balls. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are books. All toys are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are keys. No boxes are keys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are cups. No shoes are cups. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are bells. All bags are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are toys. Some keys are boxes. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are boxes. No bags are balls. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are toys. No boxes are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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