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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 92 · 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 keys are boxes. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are coins. Some boxes are coins. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some balls are shoes. All shoes are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are balls. All bags are shoes. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are balls. Some books are coins. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are rings. All balls are boxes. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are bags. All shoes are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are balls. All balls are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are shoes. Some toys are shoes. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are cups. All shoes are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are boxes. No bags are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are keys. All rings are bags. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are cups. Some books are boxes. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are boxes. No boxes are coins. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are rings. All toys are rings. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are coins. Some shoes are keys. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are coins. No keys are coins. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are shoes. No pens are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some toys are balls. No pens are balls. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some rings are toys. All keys are toys. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are cups. All coins are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are keys. All caps are coins. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are bells. Some bells are caps. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are boxes. All kites are cups. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are coins. No coins are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are boxes. All boxes are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are pens. No cups are pens. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are bells. All shoes are bells. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are kites. All kites are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are coins. No caps are coins. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are balls. No balls are bags. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some toys are kites. No kites are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are shoes. All bags are rings. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are bags. No cups are keys. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are toys. No shoes are books. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are cups. All rings are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some cups are toys. Some toys are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are bells. No bells are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are shoes. No coins are bags. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are coins. All toys are coins. Conclusion: Some rings are toys. 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. Yes
  7. Yes
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. Yes
  26. Yes
  27. Yes
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. No

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