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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 102 · 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 rings are kites. No rings are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No balls are pens. No rings are pens. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are toys. Some toys are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No pens are bags. All coins are pens. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are coins. Some coins are caps. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are coins. All coins are caps. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are books. All caps are bags. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are caps. All bells are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are boxes. All kites are boxes. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are toys. Some kites are toys. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some caps are keys. No cups are keys. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are books. Some bags are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are books. Some toys are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are books. No books are bells. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are caps. All caps are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are balls. Some coins are rings. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are pens. All bags are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are bells. Some boxes are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are keys. No keys are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are caps. No keys are caps. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are coins. No coins are cups. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are kites. All keys are kites. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are caps. No caps are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are coins. All coins are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are bags. All bags are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are bells. Some bags are caps. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bells are pens. Some boxes are pens. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are toys. All books are toys. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are pens. All rings are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are balls. No boxes are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are kites. All toys are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are kites. No kites are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bells are caps. All pens are bells. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No caps are balls. No bells are balls. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are boxes. All cups are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are bells. No bells are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some rings are books. All books are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are books. No caps are books. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are coins. All coins are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are shoes. No pens are shoes. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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