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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 234 · 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 coins are bags. All keys are coins. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are coins. Some caps are coins. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are bells. No caps are bells. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are bells. All cups are pens. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No shoes are rings. No bags are rings. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are pens. Some pens are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are toys. No toys are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are kites. No books are bells. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No shoes are balls. No balls are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are rings. Some rings are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are balls. Some caps are cups. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are keys. All boxes are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No shoes are balls. All rings are balls. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are bags. All pens are books. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No cups are toys. All bells are toys. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are books. Some bags are books. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are toys. Some bags are balls. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are bags. Some books are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are shoes. Some toys are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bells are cups. No rings are bells. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some keys are rings. All bags are rings. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are keys. No toys are shoes. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are books. All cups are books. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are keys. Some bags are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are balls. No keys are balls. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are shoes. All kites are books. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are caps. All kites are caps. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are bells. Some kites are bells. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are balls. Some balls are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All books are pens. Some books are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are kites. No kites are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are boxes. No coins are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are coins. Some coins are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are books. Some caps are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are bells. Some caps are boxes. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are books. All balls are rings. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are pens. No pens are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are cups. No cups are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are books. All shoes are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No kites are bags. All books are kites. Conclusion: All bags are books. 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. No
  9. No
  10. No
  11. Yes
  12. No
  13. No
  14. Yes
  15. Yes
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. Yes
  32. No
  33. No
  34. Yes
  35. Yes
  36. No
  37. Yes
  38. No
  39. Yes
  40. No

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