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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 356 · 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: No cups are kites. All pens are cups. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are bags. No shoes are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are pens. All kites are caps. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No kites are pens. Some bells are kites. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are keys. No bags are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are keys. All keys are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are pens. All boxes are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are rings. No rings are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are toys. All books are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are books. All books are cups. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are rings. All rings are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are books. All boxes are bells. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are boxes. All pens are boxes. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No balls are pens. No balls are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are boxes. All balls are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are toys. Some toys are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are books. All cups are keys. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are cups. Some bags are shoes. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are bags. Some balls are shoes. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are bags. Some cups are bags. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bags are cups. Some cups are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are caps. No toys are caps. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are shoes. All toys are boxes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are books. All books are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are rings. Some pens are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are books. Some bells are books. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are shoes. All cups are shoes. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some cups are balls. All balls are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are books. All kites are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are keys. Some boxes are keys. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are kites. All keys are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are kites. All bags are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No cups are bags. Some cups are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are toys. Some kites are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are shoes. No pens are toys. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. All pens are toys. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are books. No cups are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are coins. All coins are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are coins. All rings are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are shoes. Some books are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. Yes
  4. No
  5. No
  6. Yes
  7. No
  8. Yes
  9. Yes
  10. No
  11. No
  12. Yes
  13. Yes
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. Yes
  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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