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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 199 · 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 pens. No pens are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are balls. Some bags are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are shoes. Some shoes are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are caps. All bells are books. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are shoes. Some balls are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are bags. No bags are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are keys. Some cups are keys. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are boxes. Some bags are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some caps are books. Some books are keys. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are caps. All caps are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are pens. No caps are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are boxes. All boxes are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are kites. No kites are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bells are boxes. No bells are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are toys. All boxes are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are pens. All bells are rings. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are kites. All keys are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are rings. All rings are balls. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are books. Some caps are bags. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are kites. All boxes are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some balls are shoes. Some rings are shoes. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are bags. No bags are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are pens. All bags are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are shoes. All books are boxes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are rings. Some keys are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are coins. All kites are pens. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are balls. Some pens are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are coins. Some coins are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are toys. No coins are books. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bells are pens. No kites are pens. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are toys. No balls are toys. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are rings. All rings are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are bags. All shoes are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are rings. All rings are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are cups. No rings are boxes. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are rings. All boxes are rings. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some kites are shoes. No caps are shoes. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are bags. All toys are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are keys. No keys are boxes. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are keys. All keys are pens. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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