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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 346 · 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 books are boxes. No pens are books. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are toys. No bells are coins. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are cups. No toys are caps. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are books. All coins are pens. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are coins. All coins are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are kites. All kites are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are cups. All keys are kites. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are toys. All keys are shoes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are pens. Some bells are rings. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are keys. Some cups are shoes. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are balls. All boxes are toys. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are pens. All caps are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are pens. Some pens are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are keys. All cups are keys. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are cups. Some toys are pens. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are kites. Some books are kites. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are boxes. No bags are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No keys are balls. All keys are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are coins. All coins are boxes. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are bells. All books are bells. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some books are balls. All balls are rings. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are shoes. Some pens are caps. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are pens. Some pens are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are books. No balls are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are boxes. No keys are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are rings. Some books are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are shoes. No shoes are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are boxes. Some keys are rings. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All boxes are cups. All kites are boxes. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are coins. No shoes are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are pens. All kites are pens. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are shoes. All bags are cups. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are toys. All coins are toys. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are bags. All balls are bells. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are bags. No shoes are bags. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are books. No books are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are cups. All bags are pens. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are balls. All balls are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are boxes. No caps are boxes. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are cups. All balls are bells. Conclusion: No cups are balls. 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. Yes
  7. Yes
  8. No
  9. Yes
  10. Yes
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. Yes
  38. Yes
  39. Yes
  40. Yes

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