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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 252 · 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 books are rings. Some shoes are rings. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are toys. No balls are books. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are pens. All bags are balls. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are kites. All rings are kites. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are bags. No rings are bags. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are keys. All keys are boxes. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bells are cups. No shoes are bells. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are coins. Some books are coins. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are cups. Some rings are bags. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are cups. Some cups are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are cups. No books are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some balls are bags. All balls are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are bells. All rings are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are kites. No balls are rings. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are toys. Some keys are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are boxes. All boxes are pens. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are toys. Some cups are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are balls. Some rings are balls. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are keys. All keys are caps. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are cups. All cups are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are bells. All pens are bells. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are kites. No kites are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are coins. Some balls are shoes. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are bags. All books are cups. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are shoes. Some kites are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are keys. No keys are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are caps. No pens are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are keys. No bags are keys. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are bags. No bags are rings. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are pens. Some balls are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are pens. All pens are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some rings are kites. All rings are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are keys. Some keys are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are toys. All toys are coins. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No keys are cups. All balls are keys. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are pens. All caps are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are coins. No boxes are coins. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are caps. All caps are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are boxes. All toys are cups. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are kites. Some boxes are balls. Conclusion: All boxes are kites. 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. No
  7. No
  8. No
  9. Yes
  10. No
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. Yes
  30. No
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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