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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 44 · 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 boxes are books. All balls are boxes. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are balls. All rings are balls. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are coins. No pens are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are toys. All books are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are bells. All rings are balls. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some toys are keys. Some keys are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are pens. No shoes are pens. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are rings. No rings are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are cups. All pens are balls. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are pens. All caps are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are caps. Some rings are coins. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are bags. Some boxes are kites. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are cups. All bags are books. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are coins. Some caps are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are kites. All bags are kites. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are bags. Some keys are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some pens are cups. All toys are cups. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are bags. All toys are bags. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are bags. Some caps are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are toys. No books are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some keys are balls. Some keys are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are pens. All books are keys. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are rings. Some pens are boxes. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are toys. All coins are bells. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are kites. All bags are kites. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are cups. All cups are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are boxes. Some shoes are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are coins. No books are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are bags. Some rings are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No keys are balls. All kites are keys. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are shoes. All shoes are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are balls. No bags are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No cups are kites. All kites are caps. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are toys. Some keys are toys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are coins. No pens are coins. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are rings. All balls are boxes. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some kites are caps. Some books are caps. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are bags. Some bells are bags. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are pens. Some boxes are bags. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are kites. Some shoes are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. Yes
  3. No
  4. Yes
  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. No
  18. No
  19. Yes
  20. No
  21. No
  22. Yes
  23. No
  24. Yes
  25. No
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. Yes
  40. No

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