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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 315 · 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 coins are balls. All shoes are balls. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are boxes. All shoes are books. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are books. All books are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are caps. All caps are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No kites are bells. All bags are kites. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are bags. Some keys are boxes. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some coins are shoes. No boxes are shoes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are books. Some books are rings. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some toys are boxes. No toys are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are kites. All keys are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are keys. All keys are cups. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are balls. All kites are keys. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are kites. All kites are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are shoes. No cups are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are toys. No bells are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All books are shoes. All books are toys. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are keys. All rings are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some rings are pens. All pens are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are books. All kites are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are coins. All coins are bells. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are bells. All keys are bags. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are shoes. All bells are pens. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No coins are boxes. No boxes are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are cups. No cups are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bells. No bells are boxes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No boxes are toys. All toys are coins. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are pens. All rings are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are books. No cups are books. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are pens. All toys are bells. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are bags. No keys are pens. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are bags. All kites are bags. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are keys. Some keys are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some pens are coins. All coins are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are cups. No boxes are cups. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are shoes. Some bags are shoes. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are toys. All caps are toys. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are balls. Some pens are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bags are caps. No bags are bells. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are shoes. Some cups are kites. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are bells. All bells are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. Yes
  4. Yes
  5. Yes
  6. Yes
  7. No
  8. No
  9. No
  10. No
  11. Yes
  12. Yes
  13. Yes
  14. No
  15. No
  16. Yes
  17. No
  18. No
  19. Yes
  20. Yes
  21. No
  22. No
  23. No
  24. No
  25. Yes
  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. Yes
  40. Yes

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