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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 269 · 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 bags are caps. Some books are caps. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are toys. No toys are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are bags. Some rings are toys. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are coins. All coins are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are balls. No boxes are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are keys. No shoes are toys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are pens. Some kites are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are books. All toys are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are cups. All cups are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some caps are shoes. All caps are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are kites. No kites are cups. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are balls. No cups are pens. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All cups are pens. All toys are cups. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are toys. All books are boxes. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some keys are toys. All toys are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are kites. All bags are kites. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are coins. No coins are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are books. No books are rings. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are toys. Some toys are keys. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are boxes. Some cups are boxes. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are shoes. All books are bags. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are keys. All boxes are keys. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are kites. All rings are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are bells. All bells are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are bags. All keys are bags. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are keys. All bags are rings. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bags are cups. All keys are cups. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are books. Some keys are toys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are coins. Some bells are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are coins. All boxes are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are keys. All kites are keys. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No caps are bags. All coins are bags. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No kites are bells. No kites are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are kites. All kites are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are keys. No cups are caps. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are balls. Some toys are books. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are bags. All pens are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are coins. Some bags are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are kites. Some toys are boxes. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are coins. Some pens are keys. Conclusion: Some coins are pens. 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. No
  9. No
  10. Yes
  11. Yes
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. Yes
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. No
  30. Yes
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. Yes
  38. No
  39. Yes
  40. Yes

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