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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 119 · 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 kites are pens. All pens are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are cups. No cups are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are cups. All kites are cups. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are books. All pens are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are bells. All toys are bells. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No rings are keys. No balls are keys. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are pens. All rings are keys. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are boxes. Some rings are keys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are pens. All balls are rings. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No pens are keys. No pens are books. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are pens. All coins are pens. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No caps are balls. All books are balls. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are balls. No bells are rings. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are toys. All shoes are toys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No kites are cups. No toys are cups. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No toys are bags. No coins are bags. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are caps. No coins are keys. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are shoes. No boxes are bags. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are books. Some coins are toys. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are kites. No balls are kites. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are balls. Some coins are balls. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are keys. Some bags are caps. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are keys. No caps are kites. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are balls. No keys are balls. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are bags. Some bags are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are caps. All rings are toys. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are bags. No balls are bells. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are boxes. Some bells are bags. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are books. All rings are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are rings. No rings are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are cups. No cups are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are pens. No books are shoes. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are kites. All kites are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some books are rings. No toys are books. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are caps. All books are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are rings. All pens are shoes. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are kites. All rings are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are caps. All caps are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are books. All kites are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are toys. No pens are toys. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. Yes
  6. No
  7. No
  8. Yes
  9. Yes
  10. No
  11. No
  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. No
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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