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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 72 · 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 pens are shoes. No caps are shoes. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some cups are bells. All bells are boxes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are coins. All pens are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are bells. All toys are books. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are rings. Some toys are rings. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some pens are bags. All bags are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No toys are books. No pens are books. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some pens are boxes. Some pens are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are coins. Some coins are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are kites. All kites are rings. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are books. Some rings are books. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are bags. All bags are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are balls. Some kites are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some caps are toys. All caps are rings. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are bells. Some rings are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are books. All toys are bags. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are coins. All coins are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are kites. All kites are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are shoes. All boxes are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are bells. Some bags are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are bags. All caps are bags. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are cups. All kites are cups. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are coins. No bells are bags. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bells are bags. All rings are bags. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are coins. No coins are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No toys are cups. No toys are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are boxes. All boxes are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are boxes. Some boxes are kites. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are coins. All coins are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are balls. No kites are balls. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are toys. Some caps are kites. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are cups. Some toys are cups. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are pens. All pens are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are pens. All cups are pens. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bells are rings. No bells are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are cups. All cups are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are kites. All kites are books. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some rings are bells. Some bells are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are coins. Some bells are rings. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are bags. All caps are boxes. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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