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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 152 · 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 kites are keys. Some balls are keys. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are balls. No toys are pens. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some rings are books. All rings are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are shoes. No bags are bells. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are pens. All balls are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are keys. All boxes are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are toys. No shoes are toys. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are boxes. All bells are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are coins. No boxes are books. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are kites. All pens are toys. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are bells. All books are bells. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are books. All balls are coins. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are coins. No coins are kites. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are rings. All bags are cups. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are bells. Some balls are rings. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some rings are coins. All rings are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are shoes. All bags are shoes. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are toys. All bags are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are kites. All bags are caps. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are boxes. Some boxes are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are caps. No books are caps. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some toys are keys. All coins are toys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are balls. Some caps are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are rings. All cups are kites. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No rings are cups. All pens are cups. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are pens. Some coins are pens. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are rings. All rings are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are bags. No pens are balls. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are boxes. Some boxes are rings. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are keys. All keys are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are balls. All balls are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are bags. Some cups are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No toys are bags. All balls are toys. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No keys are rings. All rings are coins. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are balls. All balls are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are books. No coins are books. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are bells. No bells are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No cups are kites. All books are cups. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are coins. All coins are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are toys. All balls are caps. Conclusion: All caps are toys. 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. No
  11. Yes
  12. Yes
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. Yes
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. Yes
  39. No
  40. No

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