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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 242 · 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 books are kites. No kites are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are keys. All shoes are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are cups. All cups are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are books. No caps are bells. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No pens are kites. No bags are kites. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are keys. No keys are cups. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are boxes. Some boxes are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are coins. Some books are coins. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are kites. Some keys are kites. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are pens. All kites are pens. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are bells. All kites are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are bags. No bells are bags. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No caps are cups. All cups are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are boxes. No rings are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some caps are bells. All bells are coins. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are boxes. All rings are bags. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are boxes. All boxes are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are pens. All pens are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are keys. No keys are toys. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No coins are toys. Some shoes are coins. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No balls are shoes. All kites are balls. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are toys. No toys are cups. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No coins are pens. Some bags are coins. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are rings. Some cups are rings. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are bells. No keys are bells. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are shoes. All caps are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are books. All books are caps. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some coins are bags. All bags are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are books. All bags are rings. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are books. No books are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are pens. No pens are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bags are balls. No balls are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are balls. All balls are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some coins are caps. No caps are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All coins are caps. Some pens are coins. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are keys. All rings are bells. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are bells. Some keys are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are boxes. No keys are boxes. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are balls. Some boxes are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are bags. All pens are shoes. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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