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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 212 · 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 kites are pens. All kites are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are keys. All shoes are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are bells. No pens are cups. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are balls. Some rings are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are bells. Some pens are balls. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are books. All bells are keys. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are keys. All toys are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are books. All pens are kites. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are caps. All pens are caps. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are boxes. All rings are kites. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are pens. No rings are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are toys. Some pens are books. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are cups. All kites are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are shoes. All shoes are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bells are coins. All caps are coins. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are rings. Some kites are rings. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are toys. Some cups are books. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are keys. No shoes are keys. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are cups. No bells are shoes. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are boxes. All keys are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are boxes. All boxes are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are shoes. No rings are cups. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No books are rings. All books are shoes. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some keys are balls. No caps are balls. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No coins are shoes. All books are coins. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are books. No balls are coins. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are cups. No rings are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are kites. All kites are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are cups. All books are cups. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No boxes are shoes. No shoes are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No kites are keys. No caps are keys. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are pens. No pens are shoes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are rings. All rings are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are bells. Some coins are bells. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are rings. No toys are rings. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are rings. All rings are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are coins. All coins are balls. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are toys. Some toys are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are pens. No cups are pens. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are coins. All caps are pens. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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