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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 170 · 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 bells are shoes. Some books are bells. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are cups. Some cups are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bells are shoes. Some coins are shoes. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No pens are kites. No kites are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are kites. All kites are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are bells. Some cups are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are pens. Some bags are keys. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are bells. No bells are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are keys. All boxes are keys. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are balls. No cups are shoes. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are bags. All bags are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are caps. All kites are pens. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are coins. All rings are books. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are bags. All pens are bags. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are toys. All keys are coins. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No balls are toys. Some boxes are balls. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are bells. Some bells are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are kites. Some cups are bells. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are rings. All rings are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are boxes. All books are boxes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some kites are shoes. All kites are bags. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are kites. Some toys are books. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are bags. All bags are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are bells. All pens are bells. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are bags. All bags are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are rings. No rings are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are coins. All bags are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are keys. No keys are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are cups. All cups are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are pens. Some bells are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are bells. Some books are pens. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All pens are balls. All books are balls. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are bags. All caps are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bells are rings. All bells are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No keys are bells. Some keys are balls. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are pens. No cups are pens. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No boxes are pens. Some keys are pens. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some caps are shoes. All shoes are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are bags. All pens are shoes. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are shoes. All cups are shoes. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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