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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 292 · 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 cups are keys. All keys are kites. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No cups are books. All cups are keys. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are cups. No books are cups. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are coins. All bags are cups. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are toys. All boxes are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are kites. All balls are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are kites. No pens are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are cups. All cups are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are pens. No bags are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are boxes. All pens are cups. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are pens. No boxes are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are bells. All kites are toys. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are balls. No balls are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are kites. All keys are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are keys. Some shoes are keys. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are shoes. All balls are shoes. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are toys. All keys are toys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are books. All keys are books. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No kites are shoes. All pens are shoes. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are shoes. No shoes are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are rings. Some shoes are toys. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are balls. All pens are caps. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are books. All books are caps. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are caps. All caps are boxes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No shoes are keys. All shoes are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are kites. No kites are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are toys. No coins are caps. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No kites are keys. All keys are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are rings. Some rings are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are pens. Some caps are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some toys are cups. All toys are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are shoes. All cups are bags. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are kites. No cups are kites. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are balls. All toys are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are bells. All bags are balls. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some shoes are rings. All shoes are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some coins are boxes. No boxes are pens. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are books. Some pens are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are bags. No keys are bags. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are boxes. No boxes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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