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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 366 · 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 caps are toys. No bells are toys. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are shoes. All kites are pens. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are boxes. All pens are caps. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are balls. All balls are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some rings are keys. Some toys are rings. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are balls. No balls are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are coins. All pens are coins. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are shoes. Some keys are bells. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are keys. All caps are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are coins. All boxes are coins. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are cups. All books are cups. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are pens. Some boxes are books. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are rings. All boxes are kites. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are pens. All keys are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are caps. Some shoes are books. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are toys. All bags are boxes. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bags are shoes. All bags are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are bags. Some bags are caps. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are rings. Some pens are rings. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are bells. No bells are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are keys. All kites are pens. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are pens. All pens are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are balls. All balls are bells. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are kites. All kites are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are rings. No rings are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are pens. All pens are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bags are keys. Some books are keys. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are books. No books are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are shoes. All cups are shoes. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are rings. All rings are coins. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are balls. No books are balls. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some cups are coins. Some rings are cups. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are bells. No boxes are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are caps. Some caps are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some balls are books. All balls are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are toys. No toys are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are cups. No coins are cups. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are shoes. All shoes are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are kites. Some caps are kites. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are balls. Some balls are keys. Conclusion: All rings are keys. 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. Yes
  8. No
  9. No
  10. Yes
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  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. Yes
  37. Yes
  38. Yes
  39. No
  40. No

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