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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 328 · 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 coins are boxes. No boxes are toys. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are caps. All caps are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are toys. Some toys are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No boxes are pens. Some shoes are boxes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are pens. Some balls are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are shoes. All shoes are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bells are caps. All bells are pens. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are shoes. No keys are shoes. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are kites. All kites are shoes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some boxes are pens. No pens are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are kites. All boxes are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are coins. Some balls are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are pens. All bells are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are keys. No balls are keys. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some kites are toys. All toys are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are rings. All kites are pens. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are keys. No keys are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are coins. No coins are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are books. Some cups are books. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are bags. Some bags are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are pens. Some shoes are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No kites are toys. Some kites are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are shoes. All kites are rings. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are books. All boxes are books. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are bags. No bags are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are boxes. All toys are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are boxes. All pens are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are toys. No pens are toys. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are rings. All boxes are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are bells. All toys are cups. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are shoes. No caps are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are cups. No books are cups. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are caps. Some toys are coins. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are caps. No coins are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are bags. No keys are bags. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are coins. Some cups are coins. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are toys. All keys are toys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are pens. All boxes are kites. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are toys. All toys are bells. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are rings. Some kites are caps. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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