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Syllogism Worksheet

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

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