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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 126 · 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 books are rings. No keys are rings. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are coins. All cups are coins. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are keys. No caps are keys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are shoes. No shoes are pens. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are boxes. All pens are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are cups. All boxes are cups. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are bells. All coins are keys. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are cups. All shoes are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are kites. Some pens are rings. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are toys. All bells are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are cups. Some kites are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are balls. All balls are keys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are books. Some pens are books. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are bells. No bags are bells. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are cups. All pens are toys. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are shoes. All caps are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are caps. Some cups are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are rings. All rings are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are boxes. All rings are boxes. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are books. All books are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are boxes. Some caps are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are shoes. All rings are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are balls. All shoes are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are cups. No boxes are books. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are rings. Some books are caps. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are kites. All boxes are rings. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are cups. All cups are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are books. All books are caps. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are coins. All pens are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are keys. All cups are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are keys. All boxes are caps. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are books. Some boxes are books. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some cups are balls. All balls are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some books are kites. No kites are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are bells. All coins are pens. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are cups. All bags are bells. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some balls are bags. Some balls are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are caps. No pens are toys. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All balls are toys. Some balls are boxes. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are balls. Some balls are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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