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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 395 · 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 balls are pens. No balls are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are rings. Some pens are rings. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are bells. All boxes are bells. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some rings are bags. All books are rings. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are kites. All books are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are keys. Some pens are caps. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are shoes. Some balls are pens. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are toys. No keys are toys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some shoes are kites. All bags are shoes. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are keys. All keys are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are boxes. All shoes are bags. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are books. All bells are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are rings. All keys are rings. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are bells. No shoes are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some cups are bells. Some kites are bells. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are keys. No boxes are pens. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are bags. All coins are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are coins. Some pens are books. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bells are bags. All bags are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some balls are books. No toys are balls. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are coins. All keys are coins. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are rings. Some rings are cups. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are pens. No bells are pens. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some toys are books. Some coins are books. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some coins are bags. All coins are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are books. Some coins are books. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are caps. All kites are caps. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are rings. Some pens are rings. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are rings. All rings are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are keys. Some shoes are balls. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are coins. No coins are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are boxes. Some boxes are balls. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are books. Some books are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are keys. All keys are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are bags. No bags are keys. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are boxes. No boxes are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are shoes. Some toys are shoes. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are coins. No books are coins. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bells are books. No books are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No kites are balls. No shoes are kites. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. Yes
  4. No
  5. No
  6. No
  7. No
  8. No
  9. No
  10. Yes
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. Yes
  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. No
  35. Yes
  36. No
  37. No
  38. Yes
  39. Yes
  40. No

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