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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 210 · 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 coins. Some pens are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are bells. No books are bells. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some rings are keys. Some cups are keys. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some shoes are bags. All bags are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are books. All books are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are boxes. Some toys are kites. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are kites. All bags are boxes. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are toys. Some toys are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are bags. Some shoes are pens. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are books. Some books are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are caps. No caps are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are rings. All rings are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No shoes are rings. All toys are rings. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are toys. All toys are bells. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are bags. All bags are keys. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are cups. All rings are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are balls. All shoes are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are kites. All boxes are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are keys. Some kites are pens. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are toys. No kites are toys. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are books. Some coins are toys. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are shoes. All bells are caps. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are bells. All pens are bags. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No boxes are cups. Some toys are cups. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some rings are bags. Some bags are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are books. All bells are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are pens. All keys are balls. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are bells. No bells are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are caps. Some boxes are caps. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are shoes. All rings are shoes. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are boxes. No rings are boxes. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are coins. All bags are bells. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are bells. No kites are boxes. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are caps. All caps are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are coins. Some shoes are boxes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are cups. All keys are cups. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are bags. All books are bags. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some balls are coins. Some balls are boxes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are books. Some books are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are bells. All pens are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. Yes
  3. No
  4. No
  5. Yes
  6. No
  7. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. Yes
  13. Yes
  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. Yes
  28. No
  29. No
  30. No
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. Yes

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