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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 266 · 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 pens are balls. No pens are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are cups. No pens are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are rings. Some caps are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are boxes. Some coins are kites. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are bags. No bags are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are rings. All bells are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bags are cups. All bells are cups. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are pens. No pens are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are kites. No shoes are kites. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are toys. All bells are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some caps are rings. All caps are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are boxes. All kites are bags. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are bags. All pens are bags. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are boxes. All boxes are pens. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are pens. No balls are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are cups. No cups are boxes. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No kites are cups. All bells are kites. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are bells. No pens are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are cups. No pens are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are rings. All books are balls. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bags are pens. Some toys are pens. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are toys. All balls are toys. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are rings. Some rings are kites. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are rings. Some books are boxes. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are pens. All toys are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are pens. All kites are rings. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are cups. Some balls are cups. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are toys. All bags are kites. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are books. No boxes are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are bags. All balls are bags. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are boxes. Some pens are boxes. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are books. Some cups are books. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are bags. All boxes are kites. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are caps. All caps are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are cups. All boxes are cups. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are pens. No bags are pens. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are cups. No caps are keys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are keys. Some boxes are keys. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are boxes. No books are caps. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are coins. Some coins are pens. Conclusion: All pens are bells. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. Yes
  21. No
  22. Yes
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. No
  40. No

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