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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 107 · 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: Some caps are shoes. Some cups are shoes. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are bags. No bags are cups. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some rings are keys. Some keys are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are pens. All caps are balls. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are bells. No bells are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are pens. All pens are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are kites. Some cups are shoes. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are keys. All pens are keys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are boxes. No boxes are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No coins are books. No books are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are caps. Some toys are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are bells. Some coins are caps. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No caps are books. Some books are bells. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are caps. All caps are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are books. Some bags are books. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are balls. No caps are keys. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are toys. All pens are toys. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bags are cups. No keys are bags. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are caps. All books are caps. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are toys. No bells are toys. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are cups. All coins are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are balls. All coins are balls. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No coins are pens. All cups are pens. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are shoes. Some books are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are bells. All cups are kites. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No boxes are kites. All kites are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are shoes. No shoes are balls. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are books. All books are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are cups. No pens are toys. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are rings. No keys are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are boxes. Some bags are books. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are rings. All coins are rings. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are toys. All shoes are boxes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are keys. All boxes are balls. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are pens. Some keys are books. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are books. All cups are books. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No shoes are rings. Some toys are shoes. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No shoes are toys. All kites are toys. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are keys. All cups are keys. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are rings. All caps are rings. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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