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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 271 · 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 caps are shoes. No pens are caps. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are bags. No boxes are bags. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some toys are kites. No kites are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are rings. All keys are boxes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are kites. All kites are coins. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some toys are books. Some toys are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are books. Some books are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are boxes. No boxes are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No caps are cups. All cups are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are pens. No pens are coins. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are kites. No kites are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are caps. All boxes are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are shoes. No cups are shoes. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some toys are caps. Some books are caps. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are kites. No rings are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are books. Some bags are kites. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are pens. All bells are coins. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are keys. All keys are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are boxes. No caps are boxes. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are bags. Some shoes are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are boxes. All cups are keys. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are coins. No books are coins. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are boxes. All bells are bags. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are boxes. All caps are boxes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are rings. No cups are toys. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are shoes. No caps are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bags are cups. No cups are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are keys. Some toys are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are shoes. Some books are pens. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All cups are books. Some books are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are coins. Some kites are rings. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are balls. All books are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are toys. All keys are toys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are balls. Some books are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are coins. Some bells are pens. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No caps are books. No cups are caps. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are boxes. All balls are boxes. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are shoes. Some caps are shoes. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are books. Some pens are coins. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are keys. No keys are pens. Conclusion: All boxes 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. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. Yes
  18. Yes
  19. Yes
  20. Yes
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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