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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 86 · 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 balls are books. All boxes are balls. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are coins. All boxes are bags. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some cups are caps. All cups are shoes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bags are toys. Some toys are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are balls. All pens are bells. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are kites. All boxes are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are boxes. No toys are boxes. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are bags. Some bags are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are balls. No balls are boxes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are caps. No shoes are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are boxes. No bags are keys. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are bags. All caps are bags. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are bells. Some bells are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are boxes. All kites are keys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are boxes. No boxes are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are boxes. All pens are boxes. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are bells. Some rings are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are caps. No cups are caps. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are kites. Some kites are rings. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are rings. Some rings are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are cups. Some pens are bells. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are caps. No boxes are caps. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are shoes. Some boxes are toys. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are boxes. All caps are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are cups. All kites are boxes. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are coins. All coins are bells. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are coins. No toys are caps. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are keys. No books are shoes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are cups. Some keys are cups. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are keys. All bags are caps. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are coins. All bags are rings. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are rings. All books are rings. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bags are toys. All bags are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are balls. All caps are books. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No kites are keys. Some cups are kites. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some keys are boxes. All boxes are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are boxes. All boxes are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are boxes. No balls are boxes. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are bells. All bells are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are bells. All balls are cups. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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