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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 197 · 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 rings are bags. All boxes are rings. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are shoes. All bells are shoes. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are cups. All cups are bags. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No pens are cups. All balls are cups. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are kites. No cups are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are shoes. All shoes are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are kites. Some keys are caps. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are toys. All toys are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are boxes. All balls are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are bells. No pens are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are bags. All shoes are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are boxes. Some shoes are coins. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are keys. No keys are caps. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are coins. All boxes are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are bells. All books are pens. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are bags. No bells are bags. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are keys. Some kites are keys. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are boxes. All caps are cups. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are pens. No books are toys. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are books. No bags are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are shoes. Some shoes are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are boxes. No boxes are toys. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are kites. All bags are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are cups. All balls are cups. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are boxes. Some bags are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are toys. Some bags are toys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are balls. All caps are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No kites are pens. No kites are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are bells. Some balls are bells. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are books. All kites are books. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No pens are boxes. Some caps are pens. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are caps. No caps are toys. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are pens. No coins are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are balls. Some balls are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are books. All bells are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are bags. All books are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bells are keys. All keys are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are shoes. Some cups are coins. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are bells. Some rings are pens. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are pens. Some pens are boxes. Conclusion: All rings are boxes. 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. No
  8. Yes
  9. No
  10. No
  11. No
  12. Yes
  13. Yes
  14. Yes
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. Yes
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. No
  40. No

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