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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 410 · 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 books are bags. All bells are bags. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some balls are bells. No balls are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are rings. Some pens are keys. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bells are balls. All balls are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are bags. All shoes are bags. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are boxes. No boxes are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bags are boxes. All boxes are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are cups. All rings are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are cups. No cups are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are toys. All cups are caps. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are bags. Some pens are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are bells. All caps are bells. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are balls. No books are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are shoes. All coins are shoes. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some coins are kites. All bags are coins. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are pens. All pens are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are bags. Some books are toys. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are balls. All pens are balls. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are shoes. Some pens are shoes. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are pens. No shoes are pens. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are books. All balls are cups. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are pens. No balls are pens. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No books are caps. All balls are books. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are books. No bells are kites. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are shoes. No shoes are bags. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are pens. All toys are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are books. All toys are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are books. All rings are caps. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are toys. No kites are pens. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No toys are cups. All toys are keys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are pens. All pens are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are bells. Some bells are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are rings. Some coins are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No boxes are bells. Some bells are rings. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are bags. No toys are boxes. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are shoes. All rings are books. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are rings. All bells are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are kites. All kites are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some toys are kites. All bags are toys. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are kites. Some kites are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. Yes
  4. No
  5. No
  6. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. Yes
  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. Yes
  34. No
  35. No
  36. Yes
  37. Yes
  38. Yes
  39. No
  40. No

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