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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 98 · 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. Some cups are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are balls. No balls are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are rings. All balls are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are keys. All caps are coins. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are cups. All cups are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are shoes. All shoes are pens. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are keys. No keys are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are bags. All rings are bags. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are caps. Some coins are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are cups. All kites are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are coins. All coins are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are rings. Some caps are books. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are caps. No pens are caps. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are shoes. No shoes are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are boxes. All cups are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are boxes. All balls are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are coins. All boxes are bells. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are bells. Some keys are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are pens. All pens are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are shoes. All books are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are kites. All shoes are kites. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are cups. All shoes are rings. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are bags. All bags are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are boxes. No books are boxes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are kites. No kites are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No shoes are boxes. No keys are shoes. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are boxes. Some balls are bags. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are keys. All shoes are keys. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are bells. Some rings are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All coins are boxes. No balls are boxes. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are keys. Some caps are keys. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are kites. No kites are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are shoes. All boxes are shoes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are keys. Some bells are keys. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are toys. All pens are toys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are kites. All rings are boxes. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are balls. Some shoes are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are balls. No caps are balls. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some balls are cups. No pens are cups. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are shoes. No pens are shoes. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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