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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 171 · 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 cups are toys. Some cups are kites. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are caps. No caps are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No balls are books. No cups are balls. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are bags. No books are bags. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some cups are keys. All keys are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are coins. All boxes are keys. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are toys. No toys are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are kites. All toys are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are balls. Some bells are balls. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are kites. All kites are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are cups. All bells are cups. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No kites are cups. No cups are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are keys. Some keys are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are coins. All boxes are bags. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are shoes. Some cups are toys. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bells are bags. All kites are bells. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are boxes. All books are boxes. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are boxes. No boxes are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are boxes. All boxes are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No coins are bags. All bags are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are boxes. Some books are coins. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are rings. All kites are rings. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are keys. No boxes are bells. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are bags. All boxes are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are balls. Some balls are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No kites are balls. All caps are balls. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are keys. Some balls are cups. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are kites. No kites are toys. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are toys. No toys are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No boxes are books. All pens are books. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are boxes. No keys are boxes. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are rings. All balls are rings. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are shoes. All coins are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are bells. All rings are bells. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are rings. No boxes are bags. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are books. All books are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are pens. No rings are bags. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are rings. No caps are rings. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are books. Some shoes are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are balls. All balls are rings. Conclusion: All shoes are rings. 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. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. Yes
  28. No
  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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