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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 175 · 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 bags are shoes. No books are shoes. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are shoes. All kites are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are shoes. No shoes are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some toys are bags. No bags are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are bells. All pens are rings. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are cups. All cups are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are boxes. Some boxes are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are boxes. No pens are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are rings. No balls are toys. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are bags. All shoes are bags. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are bags. All bags are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are books. All books are kites. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are toys. All balls are boxes. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are toys. All toys are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are bags. All rings are pens. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are coins. All bells are balls. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are kites. All rings are boxes. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are bags. All coins are keys. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are bags. No caps are kites. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some caps are rings. No balls are rings. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All shoes are pens. Some books are pens. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are balls. Some balls are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are kites. Some kites are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.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
  25. 25.Statements: All caps are cups. Some caps are rings. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are kites. All books are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are coins. All boxes are coins. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are shoes. All books are bags. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are keys. No books are keys. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some rings are books. All rings are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are shoes. All shoes are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are pens. Some bells are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are rings. No boxes are books. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some rings are pens. No rings are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are boxes. Some boxes are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are rings. No cups are rings. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are pens. Some pens are bells. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No caps are boxes. All caps are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are cups. Some rings are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are kites. No bells are keys. Conclusion: Some kites are bells. 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. No
  9. No
  10. No
  11. Yes
  12. Yes
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. No
  30. Yes
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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