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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 349 · 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 pens are rings. No books are rings. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are rings. All pens are bells. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are bells. No bells are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are kites. All cups are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some coins are rings. All rings are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are kites. All bags are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are shoes. All shoes are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are caps. Some toys are cups. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are coins. Some bells are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are shoes. No cups are toys. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No balls are kites. Some kites are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are boxes. All boxes are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are caps. All keys are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bells are balls. Some shoes are balls. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are kites. All caps are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are bags. No caps are bags. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are kites. No bags are caps. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are bags. No books are caps. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are bells. No bags are bells. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are rings. No rings are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are pens. All shoes are pens. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are toys. No bags are toys. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are pens. All pens are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are coins. No books are coins. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bells. No bells are pens. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are rings. No toys are rings. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are shoes. All bells are books. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are books. Some cups are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are boxes. No boxes are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are balls. All balls are kites. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are coins. Some rings are coins. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are toys. No bags are cups. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are boxes. Some boxes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are bells. All shoes are bells. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are caps. Some bags are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are toys. All books are caps. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are bags. All boxes are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are books. All kites are coins. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are bags. All bags are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are pens. All pens are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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