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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 388 · 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 kites are bags. Some boxes are kites. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are caps. All caps are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are pens. All bags are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are toys. No boxes are toys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No kites are bags. All shoes are kites. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are keys. All toys are pens. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are bells. All bells are pens. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some kites are bells. All kites are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are pens. No bags are bells. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All boxes are kites. All pens are boxes. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are keys. No keys are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some rings are bags. No rings are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No keys are boxes. No boxes are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are books. All boxes are kites. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are toys. No bags are boxes. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All books are bells. Some shoes are bells. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some coins are bags. All bags are kites. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No caps are kites. All caps are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are boxes. No balls are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are kites. All pens are kites. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No pens are bags. All caps are bags. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are cups. No bells are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some keys are books. All books are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are cups. Some bells are shoes. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are kites. Some boxes are coins. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are balls. All keys are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are caps. Some caps are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are cups. All shoes are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some balls are bells. All shoes are bells. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are coins. No bells are shoes. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are bags. Some caps are pens. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are coins. No keys are shoes. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are rings. All rings are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are keys. Some books are keys. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are keys. No books are caps. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are toys. No pens are shoes. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are rings. No caps are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All cups are rings. Some cups are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are keys. All keys are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are books. Some coins are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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