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Syllogism Worksheet

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

Answer key

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

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