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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 136 · 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 pens are caps. Some cups are pens. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are bags. All cups are caps. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are rings. All rings are caps. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are pens. No rings are pens. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are coins. All books are bags. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No shoes are books. All books are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are coins. No bells are coins. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are keys. All keys are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are kites. All caps are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are rings. No caps are coins. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are kites. Some kites are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are cups. All cups are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some keys are bags. Some bells are bags. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are bags. All rings are bags. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are bags. Some bags are balls. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are toys. No cups are kites. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are balls. All balls are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are kites. All toys are caps. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are coins. All coins are shoes. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are boxes. All cups are toys. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are pens. Some kites are books. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are books. Some books are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are keys. All books are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are balls. Some toys are balls. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are bags. All bags are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some boxes are books. No boxes are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are toys. No kites are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are pens. Some boxes are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are caps. Some keys are caps. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are keys. All bells are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are cups. No bells are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are toys. All bags are toys. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are shoes. All cups are keys. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are pens. All pens are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are bags. All books are bags. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All keys are pens. All boxes are keys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are cups. All caps are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are cups. All pens are cups. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some keys are books. No books are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are keys. Some rings are bags. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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