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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 49 · 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 books are caps. All pens are caps. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are caps. Some balls are bags. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are caps. Some caps are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are shoes. Some caps are keys. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are toys. Some toys are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are caps. No caps are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are pens. Some pens are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are books. All kites are rings. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are keys. Some cups are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are coins. All books are bags. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some books are bags. No coins are books. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are bags. All caps are keys. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are books. All cups are rings. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are balls. All balls are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are rings. No caps are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are boxes. All boxes are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are cups. Some boxes are keys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are rings. No bags are rings. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No boxes are toys. All boxes are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are boxes. All boxes are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are cups. All cups are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are coins. All coins are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are kites. All bells are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are cups. All caps are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are rings. Some caps are balls. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are toys. All boxes are pens. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are toys. No coins are kites. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are shoes. No pens are shoes. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are caps. Some bells are caps. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are toys. No kites are rings. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are bags. No bags are shoes. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are pens. All coins are shoes. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are balls. All balls are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are kites. Some toys are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are pens. All pens are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No cups are shoes. No cups are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are books. Some kites are books. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are keys. No keys are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are bags. No bags are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are coins. No coins are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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