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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 323 · 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 coins are books. All bags are coins. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are bells. No bags are bells. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are bags. No bells are bags. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are kites. Some books are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are caps. Some caps are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are kites. All pens are keys. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are pens. Some books are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are caps. All books are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are pens. Some bells are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are balls. Some boxes are bells. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bells are bags. No bells are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some balls are shoes. No kites are shoes. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are kites. All kites are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are cups. All toys are shoes. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are kites. All books are pens. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are rings. No caps are rings. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are books. All keys are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are balls. All balls are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are pens. All rings are pens. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are caps. All caps are keys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are toys. All toys are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All kites are rings. All rings are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are bags. All books are cups. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are cups. Some kites are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are cups. All cups are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are toys. Some books are bells. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are toys. No toys are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are cups. All bells are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are bags. All pens are kites. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All books are coins. Some pens are books. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are boxes. Some boxes are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are rings. Some rings are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are kites. No kites are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are boxes. Some bells are boxes. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are coins. No coins are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are books. No books are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are bells. All shoes are kites. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are bags. No books are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are pens. Some kites are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No pens are kites. All kites are cups. Conclusion: All cups are pens. 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. No
  7. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. Yes
  15. No
  16. Yes
  17. Yes
  18. Yes
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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