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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 411 · 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 toys are keys. No toys are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are books. Some shoes are coins. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are toys. Some coins are books. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are rings. All pens are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are toys. Some balls are toys. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are toys. Some kites are toys. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are pens. No bells are pens. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are books. All books are bells. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No kites are pens. All balls are kites. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No pens are boxes. Some cups are boxes. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are bells. Some pens are boxes. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are boxes. Some kites are boxes. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are toys. Some pens are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are shoes. No caps are shoes. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are toys. All toys are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some shoes are boxes. Some shoes are balls. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are keys. No keys are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are keys. No keys are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are balls. All bags are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some balls are caps. Some books are balls. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some boxes are bags. No toys are bags. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some toys are balls. Some toys are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are keys. No keys are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are boxes. Some keys are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are keys. All keys are boxes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are pens. No pens are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are shoes. No shoes are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are coins. No coins are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are caps. No bells are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All books are boxes. All boxes are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some rings are coins. Some boxes are rings. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are shoes. Some rings are kites. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are pens. All pens are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are shoes. No coins are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are kites. All kites are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some keys are caps. No keys are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some coins are caps. No toys are coins. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are boxes. Some toys are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are caps. All caps are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are bags. All bags are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. Yes
  5. No
  6. No
  7. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. Yes
  18. No
  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. Yes
  34. No
  35. Yes
  36. No
  37. No
  38. Yes
  39. No
  40. No

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