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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 301 · 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 cups are coins. No coins are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are balls. No cups are balls. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some cups are toys. Some boxes are cups. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are books. No books are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are kites. All kites are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are toys. All toys are balls. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are kites. No boxes are bells. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are boxes. All boxes are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are kites. No balls are kites. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No kites are keys. Some coins are keys. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are books. All toys are cups. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are bags. No bags are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are balls. Some balls are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are caps. Some coins are cups. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are toys. No books are shoes. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are kites. All caps are kites. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are pens. All balls are rings. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some toys are bags. All bags are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are balls. No coins are balls. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No balls are books. Some balls are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are kites. Some kites are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are coins. All balls are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are shoes. All shoes are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are pens. No pens are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No caps are balls. Some balls are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some shoes are kites. All shoes are bells. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are keys. Some coins are boxes. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are balls. No kites are balls. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No coins are boxes. All boxes are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some rings are bags. Some bags are shoes. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are bags. No bags are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are cups. All cups are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are kites. All keys are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are kites. No kites are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are caps. No shoes are rings. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are caps. All boxes are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are kites. All toys are cups. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are books. Some books are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some balls are coins. All caps are coins. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some toys are keys. Some keys are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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