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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 368 · 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 balls are kites. No shoes are kites. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some boxes are toys. All boxes are kites. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are caps. No caps are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are toys. All rings are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are pens. No bags are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bags are balls. Some balls are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are pens. Some boxes are toys. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are boxes. All rings are boxes. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are cups. All books are rings. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are bags. All bags are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are shoes. All shoes are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are bells. No caps are cups. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are caps. No bells are caps. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are coins. All shoes are kites. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are cups. All pens are coins. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are boxes. No bags are pens. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bags are pens. No books are pens. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are pens. No pens are toys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are shoes. All balls are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are balls. Some balls are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are keys. Some keys are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are toys. No boxes are toys. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are shoes. Some boxes are balls. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some rings are kites. All rings are bells. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are shoes. Some cups are balls. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are balls. All cups are bags. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are bags. No keys are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No shoes are kites. No kites are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are balls. All balls are shoes. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are cups. All rings are kites. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are caps. No bells are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are kites. Some toys are kites. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some coins are balls. All bells are coins. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are bags. Some bags are shoes. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are boxes. Some cups are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No coins are caps. All shoes are caps. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are caps. No coins are bags. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No keys are balls. All balls are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are bags. Some pens are rings. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are caps. All coins are pens. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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