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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 188 · 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 kites are boxes. Some caps are boxes. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are shoes. All shoes are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are shoes. All bags are bells. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are rings. No rings are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are boxes. All boxes are bells. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are cups. All cups are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are bags. No caps are bags. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are toys. All coins are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are balls. No toys are books. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are boxes. No shoes are boxes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are pens. All books are pens. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are caps. No coins are caps. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are rings. All books are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are books. All books are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are books. All balls are books. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are bells. All balls are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are shoes. No balls are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are kites. All coins are kites. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are rings. No bells are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are kites. No cups are kites. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are kites. Some keys are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are pens. No pens are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No shoes are bags. Some balls are bags. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are rings. All rings are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are toys. No kites are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are caps. All keys are shoes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are rings. All books are rings. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are rings. No caps are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are cups. No cups are balls. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are kites. All cups are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are books. No pens are rings. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are bags. Some bags are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are caps. All kites are bells. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are caps. Some caps are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are shoes. All shoes are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some keys are boxes. All boxes are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are keys. All cups are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are kites. All kites are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are kites. No kites are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No kites are books. Some pens are kites. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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