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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 363 · 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 caps are coins. No coins are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some cups are caps. All toys are caps. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are books. Some balls are bags. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are cups. No cups are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No shoes are balls. All toys are shoes. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some toys are rings. No rings are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are bags. All bags are caps. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No boxes are rings. All pens are boxes. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No balls are keys. All toys are keys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are balls. No balls are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No boxes are rings. All bags are boxes. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are books. No shoes are books. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are keys. Some caps are shoes. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some caps are balls. No boxes are caps. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are boxes. All bells are boxes. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are shoes. All cups are shoes. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are pens. All pens are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No keys are caps. All keys are toys. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are pens. All bags are keys. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are cups. No balls are bags. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No pens are kites. All rings are kites. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are cups. Some cups are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are cups. All balls are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are pens. All shoes are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are bags. All pens are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are shoes. All boxes are toys. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are rings. Some rings are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are pens. All boxes are caps. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are keys. All balls are keys. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are toys. No coins are toys. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are coins. No boxes are coins. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No kites are keys. Some rings are keys. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bags are pens. All caps are bags. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are boxes. Some shoes are boxes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bells are kites. All pens are bells. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are coins. No coins are pens. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are cups. All bags are cups. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are bells. All rings are coins. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are bags. No bags are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are cups. All pens are cups. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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