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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 82 · 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 caps. All caps are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are pens. Some shoes are balls. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No shoes are bells. All bells are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are books. No toys are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are coins. No books are coins. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are bells. All boxes are bells. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are bells. No shoes are boxes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are kites. All toys are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are pens. No boxes are pens. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are boxes. All boxes are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All shoes are boxes. No shoes are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are books. All caps are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are books. All coins are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are toys. All books are toys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are rings. No rings are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are cups. All boxes are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are boxes. Some shoes are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No rings are keys. All coins are keys. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are boxes. All cups are books. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are coins. No pens are coins. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are pens. All caps are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are bags. No toys are bags. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are kites. Some books are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are balls. No caps are cups. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are cups. No cups are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are boxes. All books are boxes. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are pens. Some bells are balls. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are rings. No balls are rings. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are cups. No bags are balls. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are coins. All bags are kites. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are shoes. No pens are shoes. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are pens. All bells are keys. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some rings are books. All rings are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are keys. All keys are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are books. Some books are caps. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are keys. All shoes are pens. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are shoes. No shoes are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No caps are pens. Some keys are caps. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are kites. Some toys are kites. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are keys. All kites are pens. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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