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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 174 · 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 bags are boxes. All boxes are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some boxes are coins. All coins are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are bags. All bags are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are rings. Some toys are rings. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are pens. All pens are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are kites. All kites are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are rings. All bags are toys. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No keys are bags. No bags are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some kites are shoes. All pens are kites. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are bags. All bags are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are pens. All coins are pens. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are kites. No caps are balls. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are rings. All rings are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are boxes. No boxes are kites. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are keys. No caps are keys. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are bells. No books are bags. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are pens. All bags are pens. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are pens. Some keys are pens. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are boxes. All balls are rings. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are toys. Some books are toys. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are cups. Some books are kites. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are shoes. All boxes are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are books. All rings are kites. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are kites. No kites are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are keys. No boxes are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No toys are rings. All caps are toys. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are balls. No balls are boxes. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are shoes. All caps are books. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are keys. All keys are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are cups. All shoes are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are shoes. No toys are shoes. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are toys. No toys are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are shoes. All keys are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are cups. All coins are shoes. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are balls. Some caps are cups. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are cups. Some cups are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are bags. All balls are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No cups are bells. Some bells are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All toys are books. Some cups are books. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are coins. No toys are coins. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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