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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 392 · 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 keys are pens. All bells are keys. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No shoes are boxes. No keys are shoes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are bags. No keys are caps. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some keys are kites. All keys are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are balls. All boxes are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are pens. No kites are balls. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No balls are toys. All toys are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are books. All kites are toys. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some balls are bells. Some bells are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are boxes. All boxes are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are boxes. All boxes are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are coins. No bells are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are cups. All bags are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are pens. All shoes are boxes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are shoes. All caps are toys. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are kites. All toys are rings. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are rings. All keys are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are cups. No cups are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are boxes. All boxes are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are shoes. No bags are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are kites. Some balls are coins. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are shoes. No caps are shoes. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are toys. All toys are rings. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are kites. All kites are caps. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are toys. Some kites are books. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some boxes are cups. All cups are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are rings. No rings are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No rings are bags. Some rings are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are rings. Some bags are balls. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are toys. No kites are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are rings. Some rings are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are coins. All coins are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are cups. Some bags are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are kites. No shoes are kites. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some balls are boxes. All boxes are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are balls. All cups are caps. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are pens. No caps are pens. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are boxes. No books are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some books are bags. Some books are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are bags. All toys are keys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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