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Syllogism Worksheet

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

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