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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 331 · 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 shoes are books. Some caps are shoes. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are boxes. All toys are caps. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are caps. All books are caps. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are keys. All books are cups. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are bells. All bells are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are pens. Some cups are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are pens. All shoes are bags. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are caps. All caps are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are bells. All coins are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some boxes are shoes. All shoes are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are cups. Some caps are cups. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are balls. No toys are coins. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are boxes. Some coins are boxes. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are shoes. All shoes are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are bags. All pens are kites. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some coins are pens. All coins are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are cups. Some toys are caps. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are bells. All balls are bells. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are kites. No bags are shoes. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are pens. All boxes are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No toys are boxes. No boxes are rings. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are coins. No caps are coins. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are kites. All kites are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are pens. No bells are pens. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are boxes. Some bags are boxes. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are balls. No cups are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are rings. All rings are balls. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are cups. All toys are rings. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some keys are toys. Some balls are keys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some rings are toys. All toys are shoes. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some toys are bags. No balls are toys. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are boxes. Some bags are cups. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are boxes. Some boxes are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are bags. No books are bags. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are books. Some books are keys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are pens. Some pens are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are coins. No shoes are coins. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are toys. Some caps are toys. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some cups are books. Some pens are cups. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are balls. Some kites are rings. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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