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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 59 · 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 rings. All rings are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are rings. Some books are rings. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are books. All kites are caps. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are rings. No rings are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are pens. All pens are rings. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are cups. Some coins are balls. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No balls are bags. No bags are cups. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are keys. No balls are keys. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are kites. Some caps are bags. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No pens are toys. All toys are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are coins. All kites are coins. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are cups. All boxes are balls. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are pens. Some toys are bags. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All kites are balls. No balls are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are balls. All caps are balls. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are toys. All kites are caps. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bags are cups. All cups are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are balls. All bags are boxes. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are cups. Some pens are coins. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are rings. All caps are coins. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No caps are shoes. All books are caps. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some coins are rings. Some caps are coins. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bells are keys. All pens are keys. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are boxes. Some toys are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some balls are shoes. Some balls are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are boxes. All pens are bags. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are pens. Some shoes are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some balls are boxes. No boxes are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are caps. No caps are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are bells. No pens are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are shoes. Some rings are shoes. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are coins. All coins are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All balls are rings. Some rings are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are books. All books are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are coins. All coins are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are shoes. All boxes are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are books. All books are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are shoes. Some shoes are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are rings. No keys are rings. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are bags. Some bells are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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