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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 229 · 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 books are bells. No caps are bells. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are boxes. Some books are boxes. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are cups. Some balls are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are toys. All caps are bags. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are caps. No caps are pens. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are bells. Some cups are bells. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some rings are bells. All bells are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are caps. Some pens are caps. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are keys. All pens are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are books. All balls are books. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some keys are kites. All keys are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are coins. All bags are cups. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are keys. Some pens are books. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are cups. All cups are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are boxes. All bells are pens. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are boxes. Some cups are coins. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are bags. Some boxes are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are cups. No cups are shoes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are toys. All shoes are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are shoes. Some bags are keys. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are cups. All cups are rings. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are keys. No cups are bags. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are caps. All pens are caps. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are boxes. No cups are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are bells. No bells are rings. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are pens. Some keys are pens. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are kites. All balls are pens. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some cups are pens. All pens are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are bells. All caps are kites. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are kites. All toys are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are caps. Some caps are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are toys. All boxes are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are toys. All bells are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are caps. All coins are pens. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are bags. Some bags are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are bags. All toys are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some keys are pens. Some pens are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are bags. All bags are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are cups. All cups are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are toys. All caps are coins. Conclusion: No caps are toys. 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. Yes
  8. No
  9. Yes
  10. Yes
  11. Yes
  12. No
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. Yes
  29. Yes
  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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