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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 74 · 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: All bags are kites. All kites are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are shoes. All shoes are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are keys. No shoes are keys. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are keys. Some keys are bags. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No coins are balls. All pens are coins. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are balls. No bags are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are keys. No cups are pens. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are shoes. Some books are shoes. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are books. All bells are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No kites are bells. All keys are bells. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some keys are balls. No books are keys. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are kites. Some kites are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No coins are shoes. All boxes are coins. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are caps. All boxes are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are balls. All kites are balls. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are books. No toys are balls. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are rings. Some boxes are coins. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are pens. All books are bags. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are caps. All caps are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are cups. All bells are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All shoes are toys. No bags are shoes. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are bells. All kites are bells. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are balls. Some keys are caps. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are kites. All kites are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are bags. All books are pens. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are boxes. All boxes are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are rings. All rings are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are bells. No shoes are bells. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are pens. All pens are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are bags. No bags are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are keys. All balls are keys. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are pens. All boxes are pens. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are bells. All bells are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are books. All rings are coins. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are cups. No shoes are rings. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No shoes are kites. All balls are kites. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are balls. No balls are bells. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are bags. Some rings are bells. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are bells. No bells are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No balls are keys. No bells are balls. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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