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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 135 · 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 bells are bags. All bags are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are caps. Some pens are caps. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are bells. Some bells are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are coins. Some coins are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are coins. All bells are kites. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are keys. Some keys are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are rings. No kites are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are cups. No cups are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some caps are keys. No caps are shoes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are boxes. No balls are boxes. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are toys. Some toys are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are boxes. No coins are boxes. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are balls. All bags are cups. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are cups. No cups are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. No kites are books. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are toys. All kites are toys. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are coins. All coins are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No kites are bags. All bells are kites. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are balls. All kites are balls. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are kites. Some shoes are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are keys. All pens are keys. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are bags. All bags are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are shoes. Some kites are cups. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are rings. Some coins are kites. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are keys. All cups are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are bells. Some books are bells. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are books. No coins are books. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are bells. All books are shoes. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are pens. All pens are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are cups. Some cups are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are keys. No boxes are keys. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are cups. All bags are keys. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No cups are coins. No pens are coins. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are caps. No caps are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are kites. Some kites are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are bells. No kites are coins. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are bags. Some bags are keys. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are coins. Some bells are coins. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are boxes. All caps are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are caps. No caps are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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