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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 142 · 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 cups are bells. All cups are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are rings. All cups are books. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are boxes. All bags are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are pens. No bags are pens. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are boxes. Some boxes are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are keys. No keys are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are toys. No coins are toys. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No bags are boxes. Some boxes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are rings. Some coins are pens. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are keys. Some books are keys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are keys. No keys are shoes. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No books are kites. All shoes are kites. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are balls. Some kites are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are pens. All caps are shoes. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are pens. Some pens are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are caps. Some pens are caps. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are coins. No coins are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are bells. Some coins are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are books. No rings are books. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are bags. All books are bags. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No kites are toys. All kites are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are shoes. No shoes are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No shoes are pens. All bags are pens. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are caps. Some kites are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are toys. All toys are keys. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are caps. All kites are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are toys. Some pens are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are keys. All pens are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are bells. No coins are bells. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are cups. All caps are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are shoes. No books are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are kites. No toys are kites. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are shoes. Some shoes are bags. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are keys. All pens are books. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are bags. No bags are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are rings. All books are balls. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are balls. No balls are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are cups. No bells are cups. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are cups. All coins are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are pens. No books are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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