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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 399 · 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 pens are boxes. All pens are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are boxes. All bells are pens. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are keys. No books are keys. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are coins. No bells are balls. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are boxes. All boxes are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are toys. All toys are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are balls. Some bells are pens. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some rings are keys. No pens are rings. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are bells. Some bells are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are bells. All coins are pens. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are pens. Some balls are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are bags. No kites are bags. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are coins. Some keys are toys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are caps. All caps are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are shoes. All shoes are bags. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are books. All bags are books. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No keys are bags. Some bags are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are pens. All pens are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No boxes are balls. All pens are boxes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are bags. Some kites are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are pens. No balls are pens. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are shoes. No kites are shoes. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are toys. Some bells are toys. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are coins. Some cups are balls. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are pens. All pens are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are bells. All bells are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are pens. No bells are shoes. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are cups. All cups are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are shoes. All coins are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are keys. No keys are toys. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are boxes. All boxes are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are kites. Some kites are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are keys. No kites are keys. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bags are coins. Some coins are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are keys. All kites are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are shoes. All bells are rings. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are boxes. All cups are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No coins are keys. Some pens are coins. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No books are cups. Some balls are cups. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are bags. All bags are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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