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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 138 · 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 keys are shoes. No shoes are pens. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are bells. All boxes are rings. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are shoes. All toys are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are boxes. Some boxes are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are kites. No balls are kites. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are cups. Some boxes are cups. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are caps. Some caps are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are toys. No toys are books. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are boxes. Some boxes are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No books are cups. All balls are cups. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are coins. No books are kites. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are kites. Some coins are rings. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are rings. No boxes are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are coins. No coins are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are bells. No bags are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some coins are keys. Some balls are keys. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are keys. No bells are keys. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are bags. All bags are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are caps. All caps are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are bells. All bells are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are toys. Some bells are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are balls. All caps are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are cups. All shoes are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are coins. No coins are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are balls. All toys are balls. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are books. No balls are books. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are rings. All rings are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are coins. All coins are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are caps. All keys are caps. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are coins. Some toys are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are kites. All kites are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are shoes. No books are shoes. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are books. Some pens are boxes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No pens are balls. All pens are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are books. All books are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are caps. No bags are caps. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are rings. All cups are coins. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are pens. All books are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are toys. Some pens are bags. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are pens. Some rings are bags. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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