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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 180 · 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 kites are balls. Some balls are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are coins. Some keys are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are cups. All balls are books. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bags are balls. No bags are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are caps. Some toys are cups. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are caps. Some kites are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are boxes. No boxes are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are books. No coins are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are coins. No coins are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are cups. No cups are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are shoes. All coins are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are keys. No books are pens. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are rings. All rings are shoes. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are books. Some books are bells. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are caps. No caps are keys. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are cups. Some toys are caps. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are bells. No shoes are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are boxes. Some toys are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are balls. Some caps are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bells are cups. Some cups are kites. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are keys. Some keys are coins. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are bells. No toys are bells. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are bags. Some balls are cups. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are caps. All kites are pens. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are coins. All pens are kites. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are bells. All cups are bells. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some cups are pens. Some pens are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are pens. Some pens are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are caps. Some balls are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are bags. No bells are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are coins. No shoes are coins. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are rings. All bells are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bells are coins. All bells are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are balls. All balls are shoes. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are pens. All pens are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some balls are shoes. All balls are coins. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are kites. No kites are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are kites. All toys are kites. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are pens. All bags are boxes. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are pens. Some pens are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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