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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 240 · 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 bells are shoes. Some bells are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are caps. Some caps are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are rings. Some pens are rings. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are shoes. No shoes are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are bells. All boxes are bells. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are coins. All balls are coins. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are kites. All toys are kites. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are kites. All kites are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are boxes. All boxes are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No caps are bells. Some books are bells. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are rings. Some keys are bags. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are books. Some books are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are toys. All kites are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are bells. No keys are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are kites. No kites are shoes. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are keys. All coins are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No keys are shoes. All shoes are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are balls. Some coins are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bells are books. All pens are bells. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are books. All cups are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some balls are kites. All kites are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are cups. All books are pens. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are toys. No toys are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are caps. Some books are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are coins. All rings are kites. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are kites. No kites are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are bells. No books are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are shoes. No shoes are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are shoes. No pens are shoes. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are balls. All keys are bags. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No shoes are bags. All pens are bags. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All pens are boxes. All pens are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are balls. All rings are pens. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are boxes. All balls are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are bells. All bells are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bells are bags. All keys are bells. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are books. No keys are books. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are pens. All caps are bells. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are boxes. All books are rings. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No toys are pens. No toys are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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