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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 104 · 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 caps are keys. No caps are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are bags. All boxes are bags. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are rings. All balls are rings. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are balls. Some cups are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No shoes are toys. Some toys are pens. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are boxes. No boxes are shoes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are pens. No pens are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are boxes. No boxes are balls. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are bells. All shoes are pens. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All boxes are bells. All shoes are bells. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are bells. Some caps are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are pens. All kites are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are keys. All toys are keys. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are kites. Some shoes are kites. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are books. All toys are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are pens. All pens are caps. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are books. Some balls are caps. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are shoes. All shoes are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are rings. All cups are coins. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some kites are caps. Some boxes are caps. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are toys. All bells are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are pens. All keys are kites. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are bags. No bags are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are books. No books are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are bags. All bags are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some boxes are bags. No bags are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are balls. All bags are pens. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some cups are balls. All cups are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are cups. All bags are pens. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are keys. Some keys are balls. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some boxes are cups. Some cups are keys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are books. All coins are boxes. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are cups. Some cups are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are coins. Some coins are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are caps. All rings are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are pens. All balls are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are keys. Some toys are keys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No pens are bags. All books are pens. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are books. Some books are toys. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are keys. All toys are books. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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