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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 370 · 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 boxes. No boxes are kites. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are books. All toys are kites. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are pens. No pens are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are toys. All books are bags. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are bells. All books are bells. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No rings are pens. Some pens are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No caps are cups. All cups are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No boxes are pens. No rings are boxes. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are pens. All rings are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are rings. All balls are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are coins. All pens are bags. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are shoes. All coins are shoes. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No keys are toys. No toys are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are boxes. No pens are boxes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No toys are kites. Some toys are books. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are boxes. Some coins are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are boxes. Some caps are balls. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are bags. No rings are bags. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some cups are pens. All pens are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All kites are keys. Some cups are kites. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are kites. All kites are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are coins. No kites are balls. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are caps. All pens are caps. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are coins. Some shoes are rings. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No keys are balls. All balls are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are kites. All kites are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are bells. No books are bells. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some balls are cups. All balls are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are bells. No bells are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are bags. All toys are bags. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are rings. Some shoes are rings. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are cups. All keys are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are balls. Some kites are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are caps. No caps are keys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are caps. Some bags are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are bags. No balls are bags. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are pens. All toys are pens. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bells are keys. No bells are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some books are caps. All books are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are shoes. All coins are bags. Conclusion: All shoes are bags. 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. No
  7. No
  8. No
  9. Yes
  10. Yes
  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. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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