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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 352 · 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: Some caps are toys. All bags are toys. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are bells. All bells are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are cups. Some pens are rings. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are balls. No balls are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are pens. Some pens are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are pens. All pens are caps. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are rings. No books are rings. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are caps. No books are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are toys. Some bells are toys. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are balls. No keys are kites. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are bells. All books are bells. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are cups. All kites are cups. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are keys. Some bags are balls. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are pens. All pens are balls. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are boxes. No kites are boxes. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some rings are books. Some rings are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are toys. No pens are toys. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are pens. No caps are shoes. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are rings. All kites are rings. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are rings. Some books are toys. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are kites. All rings are books. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are bags. Some bags are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some shoes are coins. All shoes are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are caps. All shoes are boxes. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No coins are pens. Some rings are coins. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No kites are caps. All coins are kites. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are coins. Some cups are coins. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are caps. All bags are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No coins are pens. No bells are pens. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are pens. All caps are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are pens. All balls are pens. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are toys. Some toys are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are caps. No coins are caps. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No coins are rings. No coins are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are caps. All coins are caps. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are pens. All shoes are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are books. No books are bells. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are books. No kites are books. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are rings. All caps are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No rings are shoes. All rings are pens. Conclusion: All shoes are pens. 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. No
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. Yes
  21. No
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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