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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 393 · 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 pens are coins. All cups are coins. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are toys. No bags are bells. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are caps. Some keys are caps. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are rings. No books are rings. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are balls. All balls are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are books. Some toys are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are toys. Some toys are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some coins are bells. All bells are boxes. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are kites. All cups are kites. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are books. All boxes are books. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are pens. All books are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bells are coins. All bells are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are boxes. All keys are kites. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are cups. No keys are cups. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are caps. Some books are keys. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are balls. No bags are balls. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are bags. Some caps are bags. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are bags. No bags are caps. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are boxes. All books are shoes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are coins. Some kites are caps. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All balls are cups. All balls are keys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are kites. All kites are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some keys are pens. No balls are pens. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are bells. All bells are balls. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are pens. All cups are pens. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are bags. Some balls are kites. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are toys. No toys are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are balls. All rings are balls. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are balls. All keys are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are kites. Some keys are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are toys. All rings are toys. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are bells. No bags are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are kites. Some kites are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are pens. Some pens are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are toys. All cups are rings. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. No keys are toys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are coins. All toys are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are boxes. All boxes are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some books are balls. No balls are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No pens are books. Some pens are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. Yes
  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. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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