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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 58 · 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 bells are coins. No books are bells. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are rings. Some rings are keys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are balls. All bags are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are balls. Some balls are shoes. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are pens. All books are kites. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are bags. Some shoes are bags. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are bags. Some pens are bags. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bells are rings. Some coins are bells. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are balls. No keys are rings. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are cups. All cups are rings. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are books. No books are kites. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No books are shoes. No shoes are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are toys. All boxes are toys. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are balls. All boxes are rings. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are pens. All caps are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are cups. All keys are cups. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are toys. All toys are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bags are caps. All toys are bags. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are keys. No boxes are books. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are caps. Some caps are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are kites. No cups are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are pens. Some boxes are pens. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some toys are balls. No balls are rings. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are cups. Some cups are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are boxes. Some bells are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are rings. All rings are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are bags. All bags are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No rings are books. All boxes are books. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are pens. No coins are kites. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are boxes. All balls are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are rings. All bags are rings. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are balls. All balls are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are books. No coins are books. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No boxes are books. All books are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are pens. No rings are pens. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No kites are bags. Some kites are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are books. All bags are shoes. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are caps. Some caps are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are pens. All pens are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some toys are balls. No toys are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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