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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 115 · 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 pens are bells. No bells are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are bells. All bells are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are pens. All bags are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are cups. All caps are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are toys. All balls are toys. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are cups. All cups are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are shoes. All shoes are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are boxes. All kites are rings. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are shoes. Some bells are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are bags. All books are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are toys. All toys are boxes. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are bags. All balls are bags. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are kites. No boxes are kites. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are bells. No keys are pens. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are pens. No toys are cups. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are pens. No shoes are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bells are balls. All keys are bells. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some balls are cups. No cups are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are toys. Some bells are balls. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some kites are rings. Some rings are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some toys are bells. No toys are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some coins are cups. Some cups are bags. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are balls. All boxes are shoes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are shoes. Some shoes are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are bags. All rings are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are books. Some bags are keys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are books. All coins are books. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are pens. All coins are cups. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some toys are boxes. Some toys are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are keys. All balls are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are coins. No kites are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are shoes. Some books are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are balls. Some bags are boxes. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are caps. Some kites are keys. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are caps. All caps are kites. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some kites are rings. All kites are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are bells. All boxes are shoes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are caps. All shoes are keys. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are cups. No cups are kites. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are coins. Some books are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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