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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 163 · 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: No bells are kites. No shoes are kites. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are caps. No caps are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are cups. All bells are keys. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are books. Some bells are boxes. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are rings. Some balls are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are shoes. All rings are shoes. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are balls. All bells are balls. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are books. All books are caps. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are keys. All caps are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are bags. All keys are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some keys are caps. Some keys are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are boxes. All caps are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some shoes are books. No shoes are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are boxes. All cups are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are bells. All bells are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are kites. No keys are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No keys are bags. All caps are bags. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are bags. All kites are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are kites. No shoes are kites. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are cups. No cups are bags. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are shoes. No cups are shoes. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are toys. All keys are toys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are cups. Some coins are cups. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are kites. No caps are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some balls are shoes. All shoes are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some boxes are rings. All boxes are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are cups. All cups are bells. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some keys are cups. Some boxes are keys. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are shoes. All shoes are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are balls. All balls are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are toys. All bells are toys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are kites. No kites are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are cups. All cups are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are boxes. No toys are cups. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are balls. No toys are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are keys. No boxes are keys. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some balls are kites. Some boxes are kites. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some rings are coins. All rings are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are bells. Some caps are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are boxes. All bags are kites. Conclusion: Some bags 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. No
  6. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. Yes
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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