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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 90 · 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 shoes are caps. All books are shoes. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are pens. No pens are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are pens. Some coins are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are kites. All kites are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are bags. All balls are bells. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some kites are pens. All kites are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are caps. All caps are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are cups. Some bags are books. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are keys. All bells are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No books are shoes. Some toys are books. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are rings. All keys are shoes. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are bags. No rings are caps. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some shoes are balls. No balls are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are shoes. Some kites are books. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are keys. Some boxes are keys. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are boxes. All books are keys. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are keys. All boxes are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are bags. All cups are kites. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are coins. All shoes are coins. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are kites. All kites are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are caps. Some books are caps. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are caps. Some boxes are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are shoes. All bells are pens. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are keys. Some keys are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are books. No books are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are kites. No keys are bags. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are bells. All cups are bells. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are kites. Some kites are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are cups. All cups are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are coins. All coins are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are kites. All kites are keys. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are bags. Some pens are boxes. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are coins. No coins are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are keys. All bells are keys. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are cups. All cups are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are boxes. Some kites are cups. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are caps. All boxes are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are balls. No balls are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are books. No keys are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are balls. All toys are balls. Conclusion: All books 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. Yes
  7. Yes
  8. No
  9. Yes
  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. Yes
  23. Yes
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. No
  39. No
  40. No

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