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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 162 · 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 bells are kites. All bells are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are books. All coins are bells. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are bags. Some pens are boxes. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some toys are keys. No keys are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No pens are shoes. No shoes are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are cups. Some cups are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are kites. Some balls are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are boxes. No boxes are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No books are coins. All coins are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No books are pens. All books are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are rings. All rings are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are shoes. All caps are pens. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are cups. All cups are toys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All kites are pens. Some pens are books. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are bags. No caps are bags. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are rings. No keys are rings. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are shoes. Some bells are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are balls. Some caps are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bells. Some cups are balls. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are shoes. All shoes are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are kites. All bells are books. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are bags. All rings are cups. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are toys. Some rings are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are bells. No kites are bells. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are toys. No bags are keys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are rings. All bells are rings. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some cups are bells. All cups are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are kites. No coins are kites. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are caps. No bags are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are bags. All bags are balls. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are kites. Some boxes are shoes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are rings. All cups are rings. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are keys. No boxes are cups. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are books. All pens are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are cups. Some cups are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No cups are boxes. Some boxes are bells. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are keys. No pens are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are cups. All cups are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are coins. No books are bags. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are rings. Some toys are rings. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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