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Syllogism Worksheet

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

Answer key

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

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